20.975 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.140 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.144 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.146 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.149 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.152 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.156 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.162 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.174 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.190 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.244 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.245 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.248 * * [progress]: iteration 1 / 4 0.248 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 3) 0.266 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.269 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.271 * * * [progress]: generating series expansions 0.271 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 3) 0.271 * [approximate]: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 0.271 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.271 * [taylor]: Taking taylor expansion of 0.5 in im 0.271 * [taylor]: Taking taylor expansion of (exp im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.271 * [taylor]: Taking taylor expansion of 0.5 in im 0.272 * [taylor]: Taking taylor expansion of (exp im) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.278 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 0.278 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.279 * [taylor]: Taking taylor expansion of 0.5 in im 0.279 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.279 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.279 * [taylor]: Taking taylor expansion of 0.5 in im 0.279 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.281 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in (im) around 0 0.281 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.281 * [taylor]: Taking taylor expansion of 0.5 in im 0.281 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.281 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.281 * [taylor]: Taking taylor expansion of -1 in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.282 * [taylor]: Taking taylor expansion of 0.5 in im 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.282 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.282 * [taylor]: Taking taylor expansion of -1 in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.284 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.284 * [approximate]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in (im re) around 0 0.284 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in re 0.284 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in re 0.284 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in re 0.284 * [taylor]: Taking taylor expansion of 0.5 in re 0.284 * [taylor]: Taking taylor expansion of (exp im) in re 0.284 * [taylor]: Taking taylor expansion of im in re 0.284 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in re 0.284 * [taylor]: Taking taylor expansion of 0.5 in re 0.284 * [taylor]: Taking taylor expansion of (exp im) in re 0.284 * [taylor]: Taking taylor expansion of im in re 0.284 * [taylor]: Taking taylor expansion of (cos re) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.284 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in im 0.284 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.284 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.284 * [taylor]: Taking taylor expansion of 0.5 in im 0.284 * [taylor]: Taking taylor expansion of (exp im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.285 * [taylor]: Taking taylor expansion of 0.5 in im 0.285 * [taylor]: Taking taylor expansion of (exp im) in im 0.285 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (cos re) in im 0.285 * [taylor]: Taking taylor expansion of re in im 0.285 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in im 0.285 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.285 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.285 * [taylor]: Taking taylor expansion of 0.5 in im 0.285 * [taylor]: Taking taylor expansion of (exp im) in im 0.285 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.285 * [taylor]: Taking taylor expansion of 0.5 in im 0.285 * [taylor]: Taking taylor expansion of (exp im) in im 0.285 * [taylor]: Taking taylor expansion of im in im 0.286 * [taylor]: Taking taylor expansion of (cos re) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.286 * [taylor]: Taking taylor expansion of (* 1.0 (cos re)) in re 0.286 * [taylor]: Taking taylor expansion of 1.0 in re 0.286 * [taylor]: Taking taylor expansion of (cos re) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.293 * [taylor]: Taking taylor expansion of 0 in re 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 0.303 * [taylor]: Taking taylor expansion of 0.5 in re 0.303 * [taylor]: Taking taylor expansion of (cos re) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.306 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in (im re) around 0 0.306 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in re 0.306 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.306 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in re 0.306 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.306 * [taylor]: Taking taylor expansion of 0.5 in re 0.306 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.306 * [taylor]: Taking taylor expansion of im in re 0.306 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re 0.306 * [taylor]: Taking taylor expansion of 0.5 in re 0.306 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.306 * [taylor]: Taking taylor expansion of im in re 0.306 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.307 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.307 * [taylor]: Taking taylor expansion of re in im 0.307 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.307 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.307 * [taylor]: Taking taylor expansion of 0.5 in im 0.307 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.307 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.307 * [taylor]: Taking taylor expansion of 0.5 in im 0.307 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.308 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.308 * [taylor]: Taking taylor expansion of re in im 0.308 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.308 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.308 * [taylor]: Taking taylor expansion of 0.5 in im 0.308 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.308 * [taylor]: Taking taylor expansion of 0.5 in im 0.308 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.309 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) in re 0.309 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.309 * [taylor]: Taking taylor expansion of re in re 0.310 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in re 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ 1 im)))) in re 0.310 * [taylor]: Taking taylor expansion of 0.5 in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 0.310 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.310 * [taylor]: Taking taylor expansion of 0.5 in re 0.310 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.313 * [taylor]: Taking taylor expansion of 0 in re 0.319 * [taylor]: Taking taylor expansion of 0 in re 0.327 * [taylor]: Taking taylor expansion of 0 in re 0.327 * [approximate]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in (im re) around 0 0.327 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in re 0.327 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.327 * [taylor]: Taking taylor expansion of -1 in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.328 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in re 0.328 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.328 * [taylor]: Taking taylor expansion of 0.5 in re 0.328 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.328 * [taylor]: Taking taylor expansion of -1 in re 0.328 * [taylor]: Taking taylor expansion of im in re 0.328 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in re 0.328 * [taylor]: Taking taylor expansion of 0.5 in re 0.328 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.328 * [taylor]: Taking taylor expansion of -1 in re 0.328 * [taylor]: Taking taylor expansion of im in re 0.328 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.328 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.328 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.328 * [taylor]: Taking taylor expansion of -1 in im 0.328 * [taylor]: Taking taylor expansion of re in im 0.328 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.328 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.329 * [taylor]: Taking taylor expansion of 0.5 in im 0.329 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.329 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.329 * [taylor]: Taking taylor expansion of -1 in im 0.329 * [taylor]: Taking taylor expansion of im in im 0.329 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.329 * [taylor]: Taking taylor expansion of 0.5 in im 0.329 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.329 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.329 * [taylor]: Taking taylor expansion of -1 in im 0.329 * [taylor]: Taking taylor expansion of im in im 0.329 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.329 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.329 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.329 * [taylor]: Taking taylor expansion of -1 in im 0.329 * [taylor]: Taking taylor expansion of re in im 0.330 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.330 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.330 * [taylor]: Taking taylor expansion of 0.5 in im 0.330 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.330 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.330 * [taylor]: Taking taylor expansion of -1 in im 0.330 * [taylor]: Taking taylor expansion of im in im 0.330 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.330 * [taylor]: Taking taylor expansion of 0.5 in im 0.330 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.330 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.330 * [taylor]: Taking taylor expansion of -1 in im 0.330 * [taylor]: Taking taylor expansion of im in im 0.331 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im))))) (cos (/ -1 re))) in re 0.331 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im))))) in re 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.331 * [taylor]: Taking taylor expansion of 0.5 in re 0.331 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.331 * [taylor]: Taking taylor expansion of -1 in re 0.331 * [taylor]: Taking taylor expansion of im in re 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ -1 im)))) in re 0.331 * [taylor]: Taking taylor expansion of 0.5 in re 0.331 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in re 0.331 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.331 * [taylor]: Taking taylor expansion of -1 in re 0.331 * [taylor]: Taking taylor expansion of im in re 0.332 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.332 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.332 * [taylor]: Taking taylor expansion of -1 in re 0.332 * [taylor]: Taking taylor expansion of re in re 0.335 * [taylor]: Taking taylor expansion of 0 in re 0.341 * [taylor]: Taking taylor expansion of 0 in re 0.352 * [taylor]: Taking taylor expansion of 0 in re 0.353 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.353 * [approximate]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in (im) around 0 0.353 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.353 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.353 * [taylor]: Taking taylor expansion of 0.5 in im 0.353 * [taylor]: Taking taylor expansion of (exp im) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.353 * [taylor]: Taking taylor expansion of 0.5 in im 0.353 * [taylor]: Taking taylor expansion of (exp im) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.354 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.354 * [taylor]: Taking taylor expansion of 0.5 in im 0.354 * [taylor]: Taking taylor expansion of (exp im) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.354 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.354 * [taylor]: Taking taylor expansion of 0.5 in im 0.354 * [taylor]: Taking taylor expansion of (exp im) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.374 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in (im) around 0 0.374 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.374 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.374 * [taylor]: Taking taylor expansion of 0.5 in im 0.374 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.374 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.374 * [taylor]: Taking taylor expansion of 0.5 in im 0.374 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.374 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.375 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.375 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.375 * [taylor]: Taking taylor expansion of 0.5 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 (/ 0.5 (exp (/ 1 im))) in im 0.375 * [taylor]: Taking taylor expansion of 0.5 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 0.384 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in (im) around 0 0.384 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.384 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.384 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.384 * [taylor]: Taking taylor expansion of 0.5 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 -1 in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.385 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.385 * [taylor]: Taking taylor expansion of 0.5 in im 0.385 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.385 * [taylor]: Taking taylor expansion of -1 in im 0.385 * [taylor]: Taking taylor expansion of im in im 0.385 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.385 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.385 * [taylor]: Taking taylor expansion of 0.5 in im 0.385 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.385 * [taylor]: Taking taylor expansion of -1 in im 0.385 * [taylor]: Taking taylor expansion of im in im 0.386 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.386 * [taylor]: Taking taylor expansion of 0.5 in im 0.386 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.386 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.386 * [taylor]: Taking taylor expansion of -1 in im 0.386 * [taylor]: Taking taylor expansion of im in im 0.394 * * * [progress]: simplifying candidates 0.396 * [simplify]: Simplifying using # : (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (log (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) (/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) 1) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ 1 1) (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ 0.5 1) (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (+ (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log (cos re))) (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (* (cos re) (cos re)) (cos re))) (* (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (* (cbrt (cos re)) (cbrt (cos re)))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sqrt (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) 1) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (expm1 (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log1p (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* 0.5 (exp im)) (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (exp (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)) (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0)) (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) 0.400 * * [simplify]: iteration 0 : 215 enodes (cost 417 ) 0.404 * * [simplify]: iteration 1 : 712 enodes (cost 366 ) 0.419 * * [simplify]: iteration 2 : 4318 enodes (cost 366 ) 0.512 * * [simplify]: iteration 3 : 5001 enodes (cost 364 ) 0.515 * [simplify]: Simplified to: (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (- (log 0.5) im) (exp (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) 1 (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) 0.5 (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3) (* (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (* (cbrt (cos re)) (cbrt (cos re)))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sqrt (cos re))) (fma 0.5 (exp im) (/ 0.5 (exp im))) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (expm1 (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log1p (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* 0.5 (exp im)) (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (exp (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (pow (fma 0.5 (exp im) (/ 0.5 (exp im))) 3) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (fma im (- (* 0.25 im) 0.5) 0.5) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (fma 0.5 (- (pow im 2) (pow re 2)) 1.0) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (fma 1.3877787807814457e-17 (pow im 3) (fma 0.5 (pow im 2) 1.0)) (fma 0.5 (exp im) (/ 0.5 (exp im))) (fma 0.5 (exp im) (/ 0.5 (exp im))) 0.515 * * * [progress]: adding candidates to table 0.686 * * [progress]: iteration 2 / 4 0.686 * * * [progress]: picking best candidate 0.694 * * * * [pick]: Picked # 0.694 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 3) 0.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3 2) 0.740 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.746 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.754 * * * [progress]: generating series expansions 0.754 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 3) 0.756 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in (im) around 0 0.756 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 0.756 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.756 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.756 * [taylor]: Taking taylor expansion of 0.5 in im 0.757 * [taylor]: Taking taylor expansion of (exp im) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.760 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 0.760 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.760 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.760 * [taylor]: Taking taylor expansion of 0.5 in im 0.761 * [taylor]: Taking taylor expansion of (exp im) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.783 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in (im) around 0 0.783 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 0.783 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.783 * [taylor]: Taking taylor expansion of 0.5 in im 0.784 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.784 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.786 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 0.786 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.786 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.786 * [taylor]: Taking taylor expansion of 0.5 in im 0.787 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.787 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.787 * [taylor]: Taking taylor expansion of im in im 0.803 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in (im) around 0 0.803 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 0.803 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.803 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.803 * [taylor]: Taking taylor expansion of 0.5 in im 0.804 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.804 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.804 * [taylor]: Taking taylor expansion of -1 in im 0.804 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 0.806 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.806 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.806 * [taylor]: Taking taylor expansion of 0.5 in im 0.807 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.807 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.807 * [taylor]: Taking taylor expansion of -1 in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.823 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3 2) 0.824 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (exp im)) in (im) around 0 0.824 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp im)) in im 0.824 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.824 * [taylor]: Taking taylor expansion of 0.5 in im 0.825 * [taylor]: Taking taylor expansion of (exp im) in im 0.825 * [taylor]: Taking taylor expansion of im in im 0.825 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp im)) in im 0.825 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.825 * [taylor]: Taking taylor expansion of 0.5 in im 0.826 * [taylor]: Taking taylor expansion of (exp im) in im 0.826 * [taylor]: Taking taylor expansion of im in im 0.838 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ 1 im))) in (im) around 0 0.838 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ 1 im))) in im 0.838 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.838 * [taylor]: Taking taylor expansion of 0.5 in im 0.839 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.839 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ 1 im))) in im 0.839 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.839 * [taylor]: Taking taylor expansion of 0.5 in im 0.840 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.840 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.848 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ -1 im))) in (im) around 0 0.848 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ -1 im))) in im 0.848 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.849 * [taylor]: Taking taylor expansion of 0.5 in im 0.849 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.849 * [taylor]: Taking taylor expansion of -1 in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.850 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ -1 im))) in im 0.850 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.850 * [taylor]: Taking taylor expansion of 0.5 in im 0.851 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.851 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.851 * [taylor]: Taking taylor expansion of -1 in im 0.851 * [taylor]: Taking taylor expansion of im in im 0.860 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.860 * [approximate]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) (cos re)) in (im re) around 0 0.860 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) (cos re)) in re 0.860 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in re 0.861 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 0.861 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in re 0.861 * [taylor]: Taking taylor expansion of 0.5 in re 0.861 * [taylor]: Taking taylor expansion of (exp im) in re 0.861 * [taylor]: Taking taylor expansion of im in re 0.861 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in re 0.861 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.861 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.861 * [taylor]: Taking taylor expansion of 0.5 in re 0.862 * [taylor]: Taking taylor expansion of (exp im) in re 0.862 * [taylor]: Taking taylor expansion of im in re 0.863 * [taylor]: Taking taylor expansion of (cos re) in re 0.863 * [taylor]: Taking taylor expansion of re in re 0.863 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) (cos re)) in im 0.863 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 0.864 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 0.864 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.864 * [taylor]: Taking taylor expansion of 0.5 in im 0.864 * [taylor]: Taking taylor expansion of (exp im) in im 0.864 * [taylor]: Taking taylor expansion of im in im 0.864 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 0.864 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.864 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.864 * [taylor]: Taking taylor expansion of 0.5 in im 0.865 * [taylor]: Taking taylor expansion of (exp im) in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (cos re) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) (cos re)) in im 0.867 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 0.867 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 0.867 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.867 * [taylor]: Taking taylor expansion of 0.5 in im 0.867 * [taylor]: Taking taylor expansion of (exp im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 0.867 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.867 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.867 * [taylor]: Taking taylor expansion of 0.5 in im 0.871 * [taylor]: Taking taylor expansion of (exp im) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.873 * [taylor]: Taking taylor expansion of (cos re) in im 0.873 * [taylor]: Taking taylor expansion of re in im 0.876 * [taylor]: Taking taylor expansion of (* (cos re) (+ 0.5 (pow (sqrt 0.5) 2))) in re 0.876 * [taylor]: Taking taylor expansion of (cos re) in re 0.876 * [taylor]: Taking taylor expansion of re in re 0.876 * [taylor]: Taking taylor expansion of (+ 0.5 (pow (sqrt 0.5) 2)) in re 0.876 * [taylor]: Taking taylor expansion of 0.5 in re 0.876 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.876 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.876 * [taylor]: Taking taylor expansion of 0.5 in re 0.891 * [taylor]: Taking taylor expansion of (- (* 0.5 (cos re)) (* (cos re) (pow (sqrt 0.5) 2))) in re 0.891 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 0.891 * [taylor]: Taking taylor expansion of 0.5 in re 0.891 * [taylor]: Taking taylor expansion of (cos re) in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.892 * [taylor]: Taking taylor expansion of (* (cos re) (pow (sqrt 0.5) 2)) in re 0.892 * [taylor]: Taking taylor expansion of (cos re) in re 0.892 * [taylor]: Taking taylor expansion of re in re 0.892 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.892 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.892 * [taylor]: Taking taylor expansion of 0.5 in re 0.915 * [taylor]: Taking taylor expansion of (+ (* 0.25 (cos re)) (* 1/2 (* (cos re) (pow (sqrt 0.5) 2)))) in re 0.915 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 0.915 * [taylor]: Taking taylor expansion of 0.25 in re 0.915 * [taylor]: Taking taylor expansion of (cos re) in re 0.915 * [taylor]: Taking taylor expansion of re in re 0.915 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos re) (pow (sqrt 0.5) 2))) in re 0.915 * [taylor]: Taking taylor expansion of 1/2 in re 0.915 * [taylor]: Taking taylor expansion of (* (cos re) (pow (sqrt 0.5) 2)) in re 0.915 * [taylor]: Taking taylor expansion of (cos re) in re 0.915 * [taylor]: Taking taylor expansion of re in re 0.915 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.915 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.915 * [taylor]: Taking taylor expansion of 0.5 in re 0.927 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in (im re) around 0 0.927 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in re 0.927 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.927 * [taylor]: Taking taylor expansion of re in re 0.928 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in re 0.928 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 0.928 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.928 * [taylor]: Taking taylor expansion of 0.5 in re 0.928 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.928 * [taylor]: Taking taylor expansion of im in re 0.928 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in re 0.928 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.928 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.928 * [taylor]: Taking taylor expansion of 0.5 in re 0.929 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.929 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.929 * [taylor]: Taking taylor expansion of im in re 0.930 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in im 0.930 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.931 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 0.931 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 0.931 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.931 * [taylor]: Taking taylor expansion of 0.5 in im 0.931 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.931 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.931 * [taylor]: Taking taylor expansion of im in im 0.931 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 0.931 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.931 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.931 * [taylor]: Taking taylor expansion of 0.5 in im 0.932 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.932 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.932 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in im 0.934 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 0.934 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 0.934 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.934 * [taylor]: Taking taylor expansion of 0.5 in im 0.934 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 0.934 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.934 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.934 * [taylor]: Taking taylor expansion of 0.5 in im 0.935 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.935 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.935 * [taylor]: Taking taylor expansion of im in im 0.939 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in re 0.939 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.939 * [taylor]: Taking taylor expansion of re in re 0.939 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in re 0.940 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.940 * [taylor]: Taking taylor expansion of 0.5 in re 0.940 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.940 * [taylor]: Taking taylor expansion of im in re 0.940 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in re 0.940 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.940 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.940 * [taylor]: Taking taylor expansion of 0.5 in re 0.940 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.940 * [taylor]: Taking taylor expansion of im in re 0.949 * [taylor]: Taking taylor expansion of 0 in re 0.962 * [taylor]: Taking taylor expansion of 0 in re 0.975 * [taylor]: Taking taylor expansion of 0 in re 0.977 * [approximate]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in (im re) around 0 0.977 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in re 0.977 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.977 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.977 * [taylor]: Taking taylor expansion of -1 in re 0.977 * [taylor]: Taking taylor expansion of re in re 0.977 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in re 0.978 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 0.978 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.978 * [taylor]: Taking taylor expansion of 0.5 in re 0.978 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.978 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in re 0.978 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.978 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.978 * [taylor]: Taking taylor expansion of 0.5 in re 0.978 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.979 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.979 * [taylor]: Taking taylor expansion of -1 in re 0.979 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in im 0.980 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.980 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.980 * [taylor]: Taking taylor expansion of -1 in im 0.980 * [taylor]: Taking taylor expansion of re in im 0.980 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 0.980 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 0.980 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.980 * [taylor]: Taking taylor expansion of 0.5 in im 0.980 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.980 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.980 * [taylor]: Taking taylor expansion of -1 in im 0.980 * [taylor]: Taking taylor expansion of im in im 0.981 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 0.981 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.981 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.981 * [taylor]: Taking taylor expansion of 0.5 in im 0.982 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.982 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.983 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in im 0.983 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.983 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.983 * [taylor]: Taking taylor expansion of -1 in im 0.984 * [taylor]: Taking taylor expansion of re in im 0.984 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 0.984 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 0.984 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.984 * [taylor]: Taking taylor expansion of 0.5 in im 0.984 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.984 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.984 * [taylor]: Taking taylor expansion of -1 in im 0.984 * [taylor]: Taking taylor expansion of im in im 0.984 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 0.984 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 0.984 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 0.984 * [taylor]: Taking taylor expansion of 0.5 in im 0.985 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.985 * [taylor]: Taking taylor expansion of -1 in im 0.985 * [taylor]: Taking taylor expansion of im in im 0.989 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in re 0.989 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.989 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.989 * [taylor]: Taking taylor expansion of -1 in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in re 0.989 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.989 * [taylor]: Taking taylor expansion of 0.5 in re 0.989 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.989 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.989 * [taylor]: Taking taylor expansion of -1 in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in re 0.989 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in re 0.989 * [taylor]: Taking taylor expansion of (sqrt 0.5) in re 0.989 * [taylor]: Taking taylor expansion of 0.5 in re 0.990 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.990 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.990 * [taylor]: Taking taylor expansion of -1 in re 0.990 * [taylor]: Taking taylor expansion of im in re 0.999 * [taylor]: Taking taylor expansion of 0 in re 1.009 * [taylor]: Taking taylor expansion of 0 in re 1.021 * [taylor]: Taking taylor expansion of 0 in re 1.022 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.023 * [approximate]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in (im) around 0 1.023 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 1.023 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 1.023 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 1.023 * [taylor]: Taking taylor expansion of 0.5 in im 1.023 * [taylor]: Taking taylor expansion of (exp im) in im 1.023 * [taylor]: Taking taylor expansion of im in im 1.023 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 1.023 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.023 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.023 * [taylor]: Taking taylor expansion of 0.5 in im 1.024 * [taylor]: Taking taylor expansion of (exp im) in im 1.024 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 1.026 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 1.026 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 1.026 * [taylor]: Taking taylor expansion of 0.5 in im 1.026 * [taylor]: Taking taylor expansion of (exp im) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 1.026 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.026 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.026 * [taylor]: Taking taylor expansion of 0.5 in im 1.027 * [taylor]: Taking taylor expansion of (exp im) in im 1.027 * [taylor]: Taking taylor expansion of im in im 1.057 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in (im) around 0 1.058 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 1.058 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 1.058 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 1.058 * [taylor]: Taking taylor expansion of 0.5 in im 1.058 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.058 * [taylor]: Taking taylor expansion of im in im 1.058 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 1.058 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.058 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.058 * [taylor]: Taking taylor expansion of 0.5 in im 1.059 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.059 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.061 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 1.061 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 1.061 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 1.061 * [taylor]: Taking taylor expansion of 0.5 in im 1.061 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.061 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.061 * [taylor]: Taking taylor expansion of im in im 1.061 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 1.061 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.061 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.061 * [taylor]: Taking taylor expansion of 0.5 in im 1.062 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.062 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.062 * [taylor]: Taking taylor expansion of im in im 1.086 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in (im) around 0 1.086 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 1.086 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 1.086 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 1.086 * [taylor]: Taking taylor expansion of 0.5 in im 1.086 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.086 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.086 * [taylor]: Taking taylor expansion of -1 in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.087 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 1.087 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.087 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.087 * [taylor]: Taking taylor expansion of 0.5 in im 1.087 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.087 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.087 * [taylor]: Taking taylor expansion of -1 in im 1.087 * [taylor]: Taking taylor expansion of im in im 1.089 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 1.089 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 1.089 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 1.089 * [taylor]: Taking taylor expansion of 0.5 in im 1.089 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.089 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.089 * [taylor]: Taking taylor expansion of -1 in im 1.089 * [taylor]: Taking taylor expansion of im in im 1.090 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 1.090 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.090 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.090 * [taylor]: Taking taylor expansion of 0.5 in im 1.090 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.090 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.090 * [taylor]: Taking taylor expansion of -1 in im 1.090 * [taylor]: Taking taylor expansion of im in im 1.114 * * * [progress]: simplifying candidates 1.117 * [simplify]: Simplifying using # : (expm1 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (log1p (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (+ (log (sqrt 0.5)) (- (log (sqrt 0.5)) im)) (+ (log (sqrt 0.5)) (log (/ (sqrt 0.5) (exp im)))) (log (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (exp (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (exp im) (exp im)) (exp im)))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im))) (/ (sqrt 0.5) (exp im)))) (* (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (* (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt 0.5) (* (cbrt (/ (sqrt 0.5) (exp im))) (cbrt (/ (sqrt 0.5) (exp im))))) (* (sqrt 0.5) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt (exp im)))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) 1)) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) 1)) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) 1)) (* (sqrt 0.5) (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt 1) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt 1) 1)) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) 1)) (* (sqrt 0.5) (/ 1 (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ 1 (sqrt (exp im)))) (* (sqrt 0.5) (/ 1 1)) (* (sqrt 0.5) 1) (* (sqrt 0.5) (sqrt 0.5)) (* (cbrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt (cbrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (sqrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (sqrt 0.5) (sqrt 0.5)) (expm1 (/ (sqrt 0.5) (exp im))) (log1p (/ (sqrt 0.5) (exp im))) (- (log (sqrt 0.5)) im) (log (/ (sqrt 0.5) (exp im))) (exp (/ (sqrt 0.5) (exp im))) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (sqrt 0.5) (exp im))) (cbrt (/ (sqrt 0.5) (exp im)))) (cbrt (/ (sqrt 0.5) (exp im))) (* (* (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im))) (/ (sqrt 0.5) (exp im))) (sqrt (/ (sqrt 0.5) (exp im))) (sqrt (/ (sqrt 0.5) (exp im))) (- (sqrt 0.5)) (- (exp im)) (/ (* (cbrt (sqrt 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(/ (sqrt 0.5) (exp im)))) (cos re))) (exp (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))) (* (* (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* (* (cos re) (cos re)) (cos re))) (* (cbrt (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))) (cbrt (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re)))) (cbrt (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))) (* (* (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re)) (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))) (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))) (sqrt (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))) (sqrt (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (cos re))) (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (cbrt (cos re)) (cbrt (cos re)))) (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sqrt (cos re))) (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) 1) (* (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cos re)) (* (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cos re)) (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re)) (expm1 (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log1p (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* 0.5 (exp im)) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (exp (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* (* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (- (+ (* 1/2 (* (pow im 2) (pow (sqrt 0.5) 2))) (pow (sqrt 0.5) 2)) (* (pow (sqrt 0.5) 2) im)) (/ (pow (sqrt 0.5) 2) (exp im)) (/ (pow (sqrt 0.5) 2) (exp im)) (- (+ (sqrt 0.5) (* 1/2 (* (pow im 2) (sqrt 0.5)))) (* (sqrt 0.5) im)) (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im)) (- (+ (* 1/2 (* (pow im 2) (pow (sqrt 0.5) 2))) (+ 0.5 (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) (pow (sqrt 0.5) 2))))) (* (pow (sqrt 0.5) 2) im)) (* (cos re) (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im)))) (- (+ (* 1/2 (* (pow im 2) (pow (sqrt 0.5) 2))) (+ (pow (sqrt 0.5) 2) (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) 0.5)))) (* (pow (sqrt 0.5) 2) im)) (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im))) (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im))) 1.123 * * [simplify]: iteration 0 : 383 enodes (cost 1087 ) 1.131 * * [simplify]: iteration 1 : 1654 enodes (cost 936 ) 1.161 * * [simplify]: iteration 2 : 5002 enodes (cost 897 ) 1.165 * [simplify]: Simplified to: (expm1 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (log1p (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (/ 0.5 (/ (exp im) 1)) (- (log 0.5) im) (- (log 0.5) im) (- (log 0.5) im) (exp (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (pow (/ (pow (sqrt 0.5) 2) (exp im)) 3) (pow (/ (pow (sqrt 0.5) 2) (exp im)) 3) (* (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (pow (/ (pow (sqrt 0.5) 2) (exp im)) 3) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) 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(pow (sqrt (sqrt 0.5)) 3) (sqrt (exp im))) (pow (sqrt (sqrt 0.5)) 3) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (pow (sqrt (sqrt 0.5)) 3) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (pow (sqrt (sqrt 0.5)) 3) (sqrt (exp im))) (pow (sqrt (sqrt 0.5)) 3) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (sqrt 0.5) 0.5 (* (cbrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt (cbrt 0.5)) (/ (sqrt 0.5) (exp im))) (/ (pow (sqrt (sqrt 0.5)) 3) (exp im)) (/ 0.5 (/ (exp im) 1)) (/ (pow (sqrt (sqrt 0.5)) 3) (exp im)) (/ 0.5 (/ (exp im) 1)) 0.5 (expm1 (/ (sqrt 0.5) (exp im))) (log1p (/ (sqrt 0.5) (exp im))) (- (log (sqrt 0.5)) im) (- (log (sqrt 0.5)) im) (exp (/ (sqrt 0.5) (exp im))) (pow (/ (sqrt 0.5) (exp im)) 3) (* (cbrt (/ (sqrt 0.5) (exp im))) (cbrt (/ (sqrt 0.5) (exp im)))) (cbrt (/ (sqrt 0.5) (exp im))) (pow (/ (sqrt 0.5) (exp im)) 3) (sqrt (/ (sqrt 0.5) (exp im))) (sqrt (/ (sqrt 0.5) (exp im))) (- 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(sqrt 0.5) (exp im))))) (cos re)) (* (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cos re)) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (expm1 (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log1p (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* 0.5 (exp im)) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (exp (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (pow (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) 3) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* 0.5 (- (fma (* 1/2 im) im 1) im)) (/ 0.5 (/ (exp im) 1)) (/ 0.5 (/ (exp im) 1)) (* (sqrt 0.5) (- (fma (* 1/2 im) im 1) im)) (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im)) (+ (* 0.5 (- (fma (* 1/2 im) im 1) im)) (fma 0.5 im (fma 0.25 (pow im 2) 0.5))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (+ (* 0.5 (- (fma (* 1/2 im) im 1) im)) (fma 0.5 im (fma 0.25 (pow im 2) 0.5))) (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) 1.166 * * * [progress]: adding candidates to table 1.510 * * [progress]: iteration 3 / 4 1.510 * * * [progress]: picking best candidate 1.515 * * * * [pick]: Picked # 1.515 * * * [progress]: localizing error 1.527 * * * [progress]: generating rewritten candidates 1.527 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 3) 1.532 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.533 * * * [progress]: generating series expansions 1.533 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 3) 1.533 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 1.533 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 1.533 * [taylor]: Taking taylor expansion of 0.5 in im 1.533 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.533 * [taylor]: Taking taylor expansion of (cos re) in im 1.533 * [taylor]: Taking taylor expansion of re in im 1.533 * [taylor]: Taking taylor expansion of (exp im) in im 1.533 * [taylor]: Taking taylor expansion of im in im 1.534 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.534 * [taylor]: Taking taylor expansion of 0.5 in re 1.534 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.534 * [taylor]: Taking taylor expansion of (cos re) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [taylor]: Taking taylor expansion of (exp im) in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.534 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.534 * [taylor]: Taking taylor expansion of 0.5 in re 1.534 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.534 * [taylor]: Taking taylor expansion of (cos re) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [taylor]: Taking taylor expansion of (exp im) in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.534 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.534 * [taylor]: Taking taylor expansion of 0.5 in im 1.534 * [taylor]: Taking taylor expansion of (exp im) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.536 * [taylor]: Taking taylor expansion of 0 in im 1.540 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 1.540 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 1.540 * [taylor]: Taking taylor expansion of 0.25 in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.540 * [taylor]: Taking taylor expansion of (exp im) in im 1.540 * [taylor]: Taking taylor expansion of im in im 1.542 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 1.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.542 * [taylor]: Taking taylor expansion of 0.5 in im 1.542 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.542 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.542 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.542 * [taylor]: Taking taylor expansion of re in im 1.542 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.542 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.542 * [taylor]: Taking taylor expansion of im in im 1.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.543 * [taylor]: Taking taylor expansion of 0.5 in re 1.543 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.543 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.543 * [taylor]: Taking taylor expansion of re in re 1.543 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.543 * [taylor]: Taking taylor expansion of im in re 1.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.543 * [taylor]: Taking taylor expansion of 0.5 in re 1.543 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.543 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.543 * [taylor]: Taking taylor expansion of re in re 1.544 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.544 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.544 * [taylor]: Taking taylor expansion of im in re 1.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.544 * [taylor]: Taking taylor expansion of 0.5 in im 1.544 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.544 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.544 * [taylor]: Taking taylor expansion of re in im 1.544 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.544 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.546 * [taylor]: Taking taylor expansion of 0 in im 1.550 * [taylor]: Taking taylor expansion of 0 in im 1.555 * [taylor]: Taking taylor expansion of 0 in im 1.555 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 1.555 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.555 * [taylor]: Taking taylor expansion of 0.5 in im 1.555 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.555 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.555 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.555 * [taylor]: Taking taylor expansion of -1 in im 1.555 * [taylor]: Taking taylor expansion of re in im 1.556 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.556 * [taylor]: Taking taylor expansion of -1 in im 1.556 * [taylor]: Taking taylor expansion of im in im 1.556 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.556 * [taylor]: Taking taylor expansion of 0.5 in re 1.556 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.556 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.557 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.557 * [taylor]: Taking taylor expansion of -1 in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.557 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.557 * [taylor]: Taking taylor expansion of 0.5 in re 1.557 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.557 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.557 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.557 * [taylor]: Taking taylor expansion of -1 in re 1.557 * [taylor]: Taking taylor expansion of re in re 1.557 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.557 * [taylor]: Taking taylor expansion of -1 in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.558 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.558 * [taylor]: Taking taylor expansion of 0.5 in im 1.558 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.558 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.558 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.558 * [taylor]: Taking taylor expansion of -1 in im 1.558 * [taylor]: Taking taylor expansion of re in im 1.558 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.558 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.558 * [taylor]: Taking taylor expansion of -1 in im 1.558 * [taylor]: Taking taylor expansion of im in im 1.560 * [taylor]: Taking taylor expansion of 0 in im 1.564 * [taylor]: Taking taylor expansion of 0 in im 1.569 * [taylor]: Taking taylor expansion of 0 in im 1.569 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.569 * [approximate]: Taking taylor expansion of (fma (exp im) (* 0.5 (cos re)) (* 0.5 (/ (cos re) (exp im)))) in (im re) around 0 1.569 * [taylor]: Taking taylor expansion of (fma (exp im) (* 0.5 (cos re)) (* 0.5 (/ (cos re) (exp im)))) in re 1.569 * [taylor]: Rewrote expression to (+ (* (exp im) (* 0.5 (cos re))) (* 0.5 (/ (cos re) (exp im)))) 1.569 * [taylor]: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in re 1.570 * [taylor]: Taking taylor expansion of (exp im) in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.570 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.570 * [taylor]: Taking taylor expansion of 0.5 in re 1.570 * [taylor]: Taking taylor expansion of (cos re) in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.570 * [taylor]: Taking taylor expansion of 0.5 in re 1.570 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.570 * [taylor]: Taking taylor expansion of (cos re) in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of (exp im) in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.570 * [taylor]: Taking taylor expansion of (fma (exp im) (* 0.5 (cos re)) (* 0.5 (/ (cos re) (exp im)))) in im 1.570 * [taylor]: Rewrote expression to (+ (* (exp im) (* 0.5 (cos re))) (* 0.5 (/ (cos re) (exp im)))) 1.570 * [taylor]: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in im 1.570 * [taylor]: Taking taylor expansion of (exp im) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.570 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in im 1.570 * [taylor]: Taking taylor expansion of 0.5 in im 1.570 * [taylor]: Taking taylor expansion of (cos re) in im 1.570 * [taylor]: Taking taylor expansion of re in im 1.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 1.570 * [taylor]: Taking taylor expansion of 0.5 in im 1.570 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.570 * [taylor]: Taking taylor expansion of (cos re) in im 1.570 * [taylor]: Taking taylor expansion of re in im 1.570 * [taylor]: Taking taylor expansion of (exp im) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.571 * [taylor]: Taking taylor expansion of (fma (exp im) (* 0.5 (cos re)) (* 0.5 (/ (cos re) (exp im)))) in im 1.571 * [taylor]: Rewrote expression to (+ (* (exp im) (* 0.5 (cos re))) (* 0.5 (/ (cos re) (exp im)))) 1.571 * [taylor]: Taking taylor expansion of (* (exp im) (* 0.5 (cos re))) in im 1.571 * [taylor]: Taking taylor expansion of (exp im) in im 1.571 * [taylor]: Taking taylor expansion of im in im 1.571 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in im 1.571 * [taylor]: Taking taylor expansion of 0.5 in im 1.571 * [taylor]: Taking taylor expansion of (cos re) in im 1.571 * [taylor]: Taking taylor expansion of re in im 1.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 1.571 * [taylor]: Taking taylor expansion of 0.5 in im 1.571 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.571 * [taylor]: Taking taylor expansion of (cos re) in im 1.571 * [taylor]: Taking taylor expansion of re in im 1.571 * [taylor]: Taking taylor expansion of (exp im) in im 1.571 * [taylor]: Taking taylor expansion of im in im 1.572 * [taylor]: Taking taylor expansion of (* 1.0 (cos re)) in re 1.572 * [taylor]: Taking taylor expansion of 1.0 in re 1.572 * [taylor]: Taking taylor expansion of (cos re) in re 1.572 * [taylor]: Taking taylor expansion of re in re 1.578 * [taylor]: Taking taylor expansion of 0 in re 1.586 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.586 * [taylor]: Taking taylor expansion of 0.5 in re 1.587 * [taylor]: Taking taylor expansion of (cos re) in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.589 * [approximate]: Taking taylor expansion of (fma (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (im re) around 0 1.589 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 1.590 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 1.590 * [taylor]: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) in re 1.590 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.590 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.590 * [taylor]: Taking taylor expansion of im in re 1.590 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re 1.590 * [taylor]: Taking taylor expansion of 0.5 in re 1.590 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.590 * [taylor]: Taking taylor expansion of re in re 1.590 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.590 * [taylor]: Taking taylor expansion of 0.5 in re 1.590 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.590 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.590 * [taylor]: Taking taylor expansion of re in re 1.590 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.590 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.590 * [taylor]: Taking taylor expansion of im in re 1.591 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 1.591 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 1.591 * [taylor]: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) in im 1.591 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.591 * [taylor]: Taking taylor expansion of im in im 1.591 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im 1.591 * [taylor]: Taking taylor expansion of 0.5 in im 1.591 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.591 * [taylor]: Taking taylor expansion of re in im 1.591 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.591 * [taylor]: Taking taylor expansion of 0.5 in im 1.591 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.591 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.591 * [taylor]: Taking taylor expansion of re in im 1.591 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.591 * [taylor]: Taking taylor expansion of im in im 1.592 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 im)) (* 0.5 (cos (/ 1 re))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 1.592 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 1.592 * [taylor]: Taking taylor expansion of (* (exp (/ 1 im)) (* 0.5 (cos (/ 1 re)))) in im 1.592 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.592 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.592 * [taylor]: Taking taylor expansion of im in im 1.593 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im 1.593 * [taylor]: Taking taylor expansion of 0.5 in im 1.593 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.593 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.593 * [taylor]: Taking taylor expansion of re in im 1.593 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.593 * [taylor]: Taking taylor expansion of 0.5 in im 1.593 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.593 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.593 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.593 * [taylor]: Taking taylor expansion of re in im 1.593 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.593 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.594 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 1.595 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.595 * [taylor]: Taking taylor expansion of 0.5 in re 1.595 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.595 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.595 * [taylor]: Taking taylor expansion of re in re 1.595 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.595 * [taylor]: Taking taylor expansion of im in re 1.595 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.595 * [taylor]: Taking taylor expansion of 0.5 in re 1.595 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.595 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.595 * [taylor]: Taking taylor expansion of re in re 1.595 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.595 * [taylor]: Taking taylor expansion of im in re 1.601 * [taylor]: Taking taylor expansion of 0 in re 1.609 * [taylor]: Taking taylor expansion of 0 in re 1.624 * [taylor]: Taking taylor expansion of 0 in re 1.624 * [approximate]: Taking taylor expansion of (fma (exp (/ -1 im)) (* 0.5 (cos (/ -1 re))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) in (im re) around 0 1.624 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 im)) (* 0.5 (cos (/ -1 re))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) in re 1.624 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) 1.624 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) in re 1.624 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.625 * [taylor]: Taking taylor expansion of -1 in re 1.625 * [taylor]: Taking taylor expansion of im in re 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in re 1.625 * [taylor]: Taking taylor expansion of 0.5 in re 1.625 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.625 * [taylor]: Taking taylor expansion of -1 in re 1.625 * [taylor]: Taking taylor expansion of re in re 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.625 * [taylor]: Taking taylor expansion of 0.5 in re 1.625 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.625 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.625 * [taylor]: Taking taylor expansion of -1 in re 1.625 * [taylor]: Taking taylor expansion of re in re 1.625 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.626 * [taylor]: Taking taylor expansion of -1 in re 1.626 * [taylor]: Taking taylor expansion of im in re 1.626 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 im)) (* 0.5 (cos (/ -1 re))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) in im 1.626 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) 1.626 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) in im 1.626 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.626 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.626 * [taylor]: Taking taylor expansion of -1 in im 1.626 * [taylor]: Taking taylor expansion of im in im 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in im 1.626 * [taylor]: Taking taylor expansion of 0.5 in im 1.626 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.626 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.626 * [taylor]: Taking taylor expansion of -1 in im 1.626 * [taylor]: Taking taylor expansion of re in im 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.626 * [taylor]: Taking taylor expansion of 0.5 in im 1.626 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.626 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.626 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.626 * [taylor]: Taking taylor expansion of -1 in im 1.626 * [taylor]: Taking taylor expansion of re in im 1.627 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.627 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.627 * [taylor]: Taking taylor expansion of -1 in im 1.627 * [taylor]: Taking taylor expansion of im in im 1.627 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 im)) (* 0.5 (cos (/ -1 re))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) in im 1.627 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im))))) 1.627 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (* 0.5 (cos (/ -1 re)))) in im 1.628 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.628 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.628 * [taylor]: Taking taylor expansion of -1 in im 1.628 * [taylor]: Taking taylor expansion of im in im 1.628 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in im 1.628 * [taylor]: Taking taylor expansion of 0.5 in im 1.628 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.628 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.628 * [taylor]: Taking taylor expansion of -1 in im 1.628 * [taylor]: Taking taylor expansion of re in im 1.628 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.628 * [taylor]: Taking taylor expansion of 0.5 in im 1.628 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.628 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.628 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.628 * [taylor]: Taking taylor expansion of -1 in im 1.628 * [taylor]: Taking taylor expansion of re in im 1.628 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.628 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.628 * [taylor]: Taking taylor expansion of -1 in im 1.628 * [taylor]: Taking taylor expansion of im in im 1.630 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 1.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.630 * [taylor]: Taking taylor expansion of 0.5 in re 1.630 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.630 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.630 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.630 * [taylor]: Taking taylor expansion of -1 in re 1.630 * [taylor]: Taking taylor expansion of re in re 1.630 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.630 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.630 * [taylor]: Taking taylor expansion of -1 in re 1.630 * [taylor]: Taking taylor expansion of im in re 1.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 1.630 * [taylor]: Taking taylor expansion of 0.5 in re 1.630 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 1.631 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.631 * [taylor]: Taking taylor expansion of -1 in re 1.631 * [taylor]: Taking taylor expansion of im in re 1.631 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.631 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.631 * [taylor]: Taking taylor expansion of -1 in re 1.631 * [taylor]: Taking taylor expansion of re in re 1.636 * [taylor]: Taking taylor expansion of 0 in re 1.645 * [taylor]: Taking taylor expansion of 0 in re 1.656 * [taylor]: Taking taylor expansion of 0 in re 1.657 * * * [progress]: simplifying candidates 1.658 * [simplify]: Simplifying using # : (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 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))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (expm1 (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (* (exp im) (* 0.5 (cos re))) (log (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (exp (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (* (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))) (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (* (* (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 1.661 * * [simplify]: iteration 0 : 185 enodes (cost 290 ) 1.665 * * [simplify]: iteration 1 : 784 enodes (cost 243 ) 1.679 * * [simplify]: iteration 2 : 3962 enodes (cost 240 ) 1.762 * * [simplify]: iteration 3 : 5001 enodes (cost 238 ) 1.763 * [simplify]: Simplified to: (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* 0.5 (/ (cos re) (exp im))) 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 (/ (cos re) (exp im))) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (expm1 (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (log1p (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (* (exp im) (* 0.5 (cos re))) (log (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im))))) (pow (exp (cos re)) (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))) (cbrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (pow (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im)))) 3) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (sqrt (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (- 0.5 (fma 0.25 (pow re 2) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (fma 0.5 (- (pow im 2) (pow re 2)) 1.0) (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im)))) (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im)))) 1.764 * * * [progress]: adding candidates to table 1.864 * * [progress]: iteration 4 / 4 1.864 * * * [progress]: picking best candidate 1.867 * * * * [pick]: Picked # 1.867 * * * [progress]: localizing error 1.880 * * * [progress]: generating rewritten candidates 1.880 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.881 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 3) 1.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.899 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 3 2) 1.907 * * * [progress]: generating series expansions 1.907 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.908 * [approximate]: Taking taylor expansion of (log (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im)))) in (im) around 0 1.908 * [taylor]: Taking taylor expansion of (log (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im)))) in im 1.908 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 1.908 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 1.908 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 1.908 * [taylor]: Taking taylor expansion of 0.5 in im 1.908 * [taylor]: Taking taylor expansion of (exp im) in im 1.908 * [taylor]: Taking taylor expansion of im in im 1.908 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 1.908 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.908 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.908 * [taylor]: Taking taylor expansion of 0.5 in im 1.909 * [taylor]: Taking taylor expansion of (exp im) in im 1.909 * [taylor]: Taking taylor expansion of im in im 1.913 * [taylor]: Taking taylor expansion of (log (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im)))) in im 1.913 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 1.914 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 1.914 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 1.914 * [taylor]: Taking taylor expansion of 0.5 in im 1.914 * [taylor]: Taking taylor expansion of (exp im) in im 1.914 * [taylor]: Taking taylor expansion of im in im 1.914 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 1.914 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 1.914 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 1.914 * [taylor]: Taking taylor expansion of 0.5 in im 1.914 * [taylor]: Taking taylor expansion of (exp im) in im 1.914 * [taylor]: Taking taylor expansion of im in im 2.015 * [approximate]: Taking taylor expansion of (log (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in (im) around 0 2.015 * [taylor]: Taking taylor expansion of (log (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in im 2.015 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 2.016 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 2.016 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 2.016 * [taylor]: Taking taylor expansion of 0.5 in im 2.016 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.016 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.016 * [taylor]: Taking taylor expansion of im in im 2.016 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 2.016 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.016 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.016 * [taylor]: Taking taylor expansion of 0.5 in im 2.017 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.017 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.017 * [taylor]: Taking taylor expansion of im in im 2.020 * [taylor]: Taking taylor expansion of (log (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))))) in im 2.020 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 2.020 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 2.020 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 2.020 * [taylor]: Taking taylor expansion of 0.5 in im 2.020 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.020 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.020 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 2.020 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.020 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.020 * [taylor]: Taking taylor expansion of 0.5 in im 2.021 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.021 * [taylor]: Taking taylor expansion of im in im 2.086 * [approximate]: Taking taylor expansion of (log (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in (im) around 0 2.086 * [taylor]: Taking taylor expansion of (log (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in im 2.086 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 2.086 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 2.086 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 2.087 * [taylor]: Taking taylor expansion of 0.5 in im 2.087 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.087 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.087 * [taylor]: Taking taylor expansion of -1 in im 2.087 * [taylor]: Taking taylor expansion of im in im 2.087 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 2.087 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.087 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.087 * [taylor]: Taking taylor expansion of 0.5 in im 2.088 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.088 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.088 * [taylor]: Taking taylor expansion of -1 in im 2.088 * [taylor]: Taking taylor expansion of im in im 2.091 * [taylor]: Taking taylor expansion of (log (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))))) in im 2.091 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 2.091 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 2.091 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 2.091 * [taylor]: Taking taylor expansion of 0.5 in im 2.091 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.091 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.091 * [taylor]: Taking taylor expansion of -1 in im 2.091 * [taylor]: Taking taylor expansion of im in im 2.091 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 2.091 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.091 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.092 * [taylor]: Taking taylor expansion of 0.5 in im 2.092 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.092 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.092 * [taylor]: Taking taylor expansion of -1 in im 2.092 * [taylor]: Taking taylor expansion of im in im 2.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 3) 2.157 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in (im) around 0 2.157 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 2.157 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.157 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.157 * [taylor]: Taking taylor expansion of 0.5 in im 2.158 * [taylor]: Taking taylor expansion of (exp im) in im 2.158 * [taylor]: Taking taylor expansion of im in im 2.160 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 2.160 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.160 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.160 * [taylor]: Taking taylor expansion of 0.5 in im 2.160 * [taylor]: Taking taylor expansion of (exp im) in im 2.160 * [taylor]: Taking taylor expansion of im in im 2.179 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in (im) around 0 2.179 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 2.179 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.179 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.179 * [taylor]: Taking taylor expansion of 0.5 in im 2.180 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.180 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.180 * [taylor]: Taking taylor expansion of im in im 2.182 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 2.182 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.182 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.182 * [taylor]: Taking taylor expansion of 0.5 in im 2.182 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.182 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.183 * [taylor]: Taking taylor expansion of im in im 2.199 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in (im) around 0 2.199 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 2.199 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.199 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.199 * [taylor]: Taking taylor expansion of 0.5 in im 2.199 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.199 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.199 * [taylor]: Taking taylor expansion of -1 in im 2.200 * [taylor]: Taking taylor expansion of im in im 2.201 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 2.201 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.201 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.201 * [taylor]: Taking taylor expansion of 0.5 in im 2.202 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.202 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.202 * [taylor]: Taking taylor expansion of -1 in im 2.202 * [taylor]: Taking taylor expansion of im in im 2.221 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.221 * [approximate]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in (im) around 0 2.221 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 2.222 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 2.222 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 2.222 * [taylor]: Taking taylor expansion of 0.5 in im 2.222 * [taylor]: Taking taylor expansion of (exp im) in im 2.222 * [taylor]: Taking taylor expansion of im in im 2.222 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 2.222 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.222 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.222 * [taylor]: Taking taylor expansion of 0.5 in im 2.222 * [taylor]: Taking taylor expansion of (exp im) in im 2.222 * [taylor]: Taking taylor expansion of im in im 2.224 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ (pow (sqrt 0.5) 2) (exp im))) in im 2.224 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ (pow (sqrt 0.5) 2) (exp im))) 2.224 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 2.224 * [taylor]: Taking taylor expansion of 0.5 in im 2.224 * [taylor]: Taking taylor expansion of (exp im) in im 2.224 * [taylor]: Taking taylor expansion of im in im 2.224 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp im)) in im 2.224 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.224 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.224 * [taylor]: Taking taylor expansion of 0.5 in im 2.225 * [taylor]: Taking taylor expansion of (exp im) in im 2.225 * [taylor]: Taking taylor expansion of im in im 2.254 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in (im) around 0 2.254 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 2.254 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 2.254 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 2.254 * [taylor]: Taking taylor expansion of 0.5 in im 2.254 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.254 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.254 * [taylor]: Taking taylor expansion of im in im 2.254 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 2.254 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.254 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.254 * [taylor]: Taking taylor expansion of 0.5 in im 2.255 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.255 * [taylor]: Taking taylor expansion of im in im 2.257 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) in im 2.257 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ 1 im)))) 2.257 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 2.257 * [taylor]: Taking taylor expansion of 0.5 in im 2.257 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.257 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.257 * [taylor]: Taking taylor expansion of im in im 2.257 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ 1 im))) in im 2.257 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.257 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.257 * [taylor]: Taking taylor expansion of 0.5 in im 2.258 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.258 * [taylor]: Taking taylor expansion of im in im 2.283 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in (im) around 0 2.283 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 2.283 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 2.283 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 2.283 * [taylor]: Taking taylor expansion of 0.5 in im 2.283 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.283 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.283 * [taylor]: Taking taylor expansion of -1 in im 2.283 * [taylor]: Taking taylor expansion of im in im 2.283 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 2.283 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.283 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.283 * [taylor]: Taking taylor expansion of 0.5 in im 2.284 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.284 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.284 * [taylor]: Taking taylor expansion of -1 in im 2.284 * [taylor]: Taking taylor expansion of im in im 2.286 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) in im 2.286 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ (pow (sqrt 0.5) 2) (exp (/ -1 im)))) 2.286 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 2.286 * [taylor]: Taking taylor expansion of 0.5 in im 2.286 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.286 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.286 * [taylor]: Taking taylor expansion of -1 in im 2.286 * [taylor]: Taking taylor expansion of im in im 2.286 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (exp (/ -1 im))) in im 2.286 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in im 2.286 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.286 * [taylor]: Taking taylor expansion of 0.5 in im 2.287 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.287 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.287 * [taylor]: Taking taylor expansion of -1 in im 2.287 * [taylor]: Taking taylor expansion of im in im 2.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 3 2) 2.314 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (exp im)) in (im) around 0 2.314 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp im)) in im 2.314 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.314 * [taylor]: Taking taylor expansion of 0.5 in im 2.315 * [taylor]: Taking taylor expansion of (exp im) in im 2.315 * [taylor]: Taking taylor expansion of im in im 2.316 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp im)) in im 2.316 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.316 * [taylor]: Taking taylor expansion of 0.5 in im 2.316 * [taylor]: Taking taylor expansion of (exp im) in im 2.316 * [taylor]: Taking taylor expansion of im in im 2.328 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ 1 im))) in (im) around 0 2.328 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ 1 im))) in im 2.328 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.328 * [taylor]: Taking taylor expansion of 0.5 in im 2.329 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.329 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.329 * [taylor]: Taking taylor expansion of im in im 2.329 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ 1 im))) in im 2.329 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.329 * [taylor]: Taking taylor expansion of 0.5 in im 2.330 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.330 * [taylor]: Taking taylor expansion of im in im 2.338 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ -1 im))) in (im) around 0 2.338 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ -1 im))) in im 2.338 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.338 * [taylor]: Taking taylor expansion of 0.5 in im 2.339 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.339 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.339 * [taylor]: Taking taylor expansion of -1 in im 2.339 * [taylor]: Taking taylor expansion of im in im 2.340 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) (exp (/ -1 im))) in im 2.340 * [taylor]: Taking taylor expansion of (sqrt 0.5) in im 2.340 * [taylor]: Taking taylor expansion of 0.5 in im 2.340 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.341 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.341 * [taylor]: Taking taylor expansion of -1 in im 2.341 * [taylor]: Taking taylor expansion of im in im 2.348 * * * [progress]: simplifying candidates 2.351 * [simplify]: Simplifying using # : (expm1 (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log1p (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log (* (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (log (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log 1) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (* (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (* (* (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (sqrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (sqrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (expm1 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (log1p (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (+ (log (sqrt 0.5)) (- (log (sqrt 0.5)) im)) (+ (log (sqrt 0.5)) (log (/ (sqrt 0.5) (exp im)))) (log (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (exp (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (exp im) (exp im)) (exp im)))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im))) (/ (sqrt 0.5) (exp im)))) (* (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (* (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt 0.5) (* (cbrt (/ (sqrt 0.5) (exp im))) (cbrt (/ (sqrt 0.5) (exp im))))) (* (sqrt 0.5) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt (exp im)))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) 1)) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) 1)) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) 1)) (* (sqrt 0.5) (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt 1) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt 1) 1)) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (sqrt (exp im)))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) 1)) (* (sqrt 0.5) (/ 1 (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ 1 (sqrt (exp im)))) (* (sqrt 0.5) (/ 1 1)) (* (sqrt 0.5) 1) (* (sqrt 0.5) (sqrt 0.5)) (* (cbrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt (cbrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (sqrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* 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(sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (* (cbrt (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (cbrt (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))))) (cbrt (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (* (* (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (sqrt (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (sqrt (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (expm1 (/ (sqrt 0.5) (exp im))) (log1p (/ (sqrt 0.5) (exp im))) (- (log (sqrt 0.5)) im) (log (/ (sqrt 0.5) (exp im))) (exp (/ (sqrt 0.5) (exp im))) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (sqrt 0.5) (exp im))) (cbrt (/ (sqrt 0.5) (exp im)))) (cbrt (/ (sqrt 0.5) (exp im))) (* (* (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im))) (/ (sqrt 0.5) (exp im))) (sqrt (/ (sqrt 0.5) (exp im))) (sqrt (/ (sqrt 0.5) (exp im))) (- (sqrt 0.5)) (- (exp im)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (sqrt 0.5)) (cbrt (exp im))) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt (exp im))) (/ (cbrt (sqrt 0.5)) (sqrt (exp im))) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) 1) (/ (cbrt (sqrt 0.5)) (exp im)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cbrt 0.5)) (cbrt (exp im))) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (sqrt (exp im))) (/ (sqrt (cbrt 0.5)) (sqrt (exp im))) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) 1) (/ (sqrt (cbrt 0.5)) (exp im)) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (sqrt 0.5)) (cbrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) (exp im)) (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 1) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 1) 1) (/ (sqrt 0.5) (exp im)) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (sqrt 0.5)) (cbrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ 1 1) (/ (sqrt 0.5) (exp im)) (/ 1 (exp im)) (/ (exp im) (sqrt 0.5)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) 1) (/ (exp im) (cbrt (sqrt 0.5))) (/ (exp im) (sqrt (cbrt 0.5))) (/ (exp im) (sqrt (sqrt 0.5))) (/ (exp im) (sqrt 0.5)) (/ (exp im) (sqrt (sqrt 0.5))) (/ (exp im) (sqrt 0.5)) (- (+ (* 1/2 (/ (* (pow im 2) (pow (sqrt 0.5) 2)) (+ 0.5 (pow (sqrt 0.5) 2)))) (+ (* 0.5 (/ (* (pow im 2) (pow (sqrt 0.5) 2)) (pow (+ 0.5 (pow (sqrt 0.5) 2)) 2))) (+ (* 0.5 (/ im (+ 0.5 (pow (sqrt 0.5) 2)))) (+ (log (+ 0.5 (pow (sqrt 0.5) 2))) (* 0.25 (/ (pow im 2) (+ 0.5 (pow (sqrt 0.5) 2)))))))) (+ (* 0.125 (/ (pow im 2) (pow (+ 0.5 (pow (sqrt 0.5) 2)) 2))) (+ (* 1/2 (/ (* (pow im 2) (pow (sqrt 0.5) 4)) (pow (+ 0.5 (pow (sqrt 0.5) 2)) 2))) (/ (* im (pow (sqrt 0.5) 2)) (+ 0.5 (pow (sqrt 0.5) 2)))))) (log (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im)))) (log (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im)))) (- (+ (* 1/2 (* (pow im 2) (pow (sqrt 0.5) 2))) (pow (sqrt 0.5) 2)) (* (pow (sqrt 0.5) 2) im)) (/ (pow (sqrt 0.5) 2) (exp im)) (/ (pow (sqrt 0.5) 2) (exp im)) (- (+ (* 1/2 (* (pow im 2) (pow (sqrt 0.5) 2))) (+ (pow (sqrt 0.5) 2) (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) 0.5)))) (* (pow (sqrt 0.5) 2) im)) (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im))) (+ (/ (pow (sqrt 0.5) 2) (exp im)) (* 0.5 (exp im))) (- (+ (sqrt 0.5) (* 1/2 (* (pow im 2) (sqrt 0.5)))) (* (sqrt 0.5) im)) (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im)) 2.358 * * [simplify]: iteration 0 : 418 enodes (cost 1135 ) 2.366 * * [simplify]: iteration 1 : 1820 enodes (cost 991 ) 2.397 * * [simplify]: iteration 2 : 5001 enodes (cost 930 ) 2.401 * [simplify]: Simplified to: (expm1 (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log1p (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (* 2 (log (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (log (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (log (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) 0 (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) (* (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (pow (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) 3) (sqrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (sqrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (expm1 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (log1p (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (/ 0.5 (/ (exp im) 1)) (- (log 0.5) im) (- (log 0.5) im) (- (log 0.5) im) (pow E (/ (pow (sqrt 0.5) 2) (exp im))) (* (/ (* 0.5 0.5) (pow (exp im) 3)) 0.5) (* (/ (* 0.5 0.5) (pow (exp im) 3)) 0.5) (* (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (/ (* 0.5 0.5) (pow (exp im) 3)) 0.5) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (* (sqrt 0.5) (* (cbrt (/ (sqrt 0.5) (exp im))) (cbrt (/ (sqrt 0.5) (exp im))))) (* (sqrt 0.5) (sqrt (/ (sqrt 0.5) (exp im)))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im))))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt (exp im)))) (* (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt 0.5)) (/ (* (sqrt 0.5) (fabs (cbrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* (sqrt 0.5) (fabs (cbrt 0.5))) (sqrt (exp im))) (* (fabs (cbrt 0.5)) (sqrt 0.5)) (/ (pow (sqrt (sqrt 0.5)) 3) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (pow (sqrt (sqrt 0.5)) 3) (sqrt (exp im))) (pow (sqrt (sqrt 0.5)) 3) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (pow (sqrt (sqrt 0.5)) 3) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (pow (sqrt (sqrt 0.5)) 3) (sqrt (exp im))) (pow (sqrt (sqrt 0.5)) 3) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (sqrt 0.5) 0.5 (* (cbrt (sqrt 0.5)) (/ (sqrt 0.5) (exp im))) (* (sqrt (cbrt 0.5)) (/ (sqrt 0.5) (exp im))) (/ (pow (sqrt (sqrt 0.5)) 3) (exp im)) (/ 0.5 (/ (exp im) 1)) (/ (pow (sqrt (sqrt 0.5)) 3) (exp im)) (/ 0.5 (/ (exp im) 1)) 0.5 (expm1 (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (log1p (exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) E (exp (* (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))) (cbrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))))) (exp (sqrt (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) E (pow (exp 2) (log (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) 1 (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (exp (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im)))) (pow (exp 2) (log (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))) (cbrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (pow (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) 3) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (sqrt (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (expm1 (/ (sqrt 0.5) (exp im))) (log1p (/ (sqrt 0.5) (exp im))) (- (log (sqrt 0.5)) im) (- (log (sqrt 0.5)) im) (exp (/ (sqrt 0.5) (exp im))) (pow (/ (sqrt 0.5) (exp im)) 3) (* (cbrt (/ (sqrt 0.5) (exp im))) (cbrt (/ (sqrt 0.5) (exp im)))) (cbrt (/ (sqrt 0.5) (exp im))) (pow (/ (sqrt 0.5) (exp im)) 3) (sqrt (/ (sqrt 0.5) (exp im))) (sqrt (/ (sqrt 0.5) (exp im))) (- (sqrt 0.5)) (- (exp im)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (sqrt 0.5)) (cbrt (exp im))) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt (exp im))) (/ (cbrt (sqrt 0.5)) (sqrt (exp im))) (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (/ (cbrt (sqrt 0.5)) (exp im)) (/ (/ (fabs (cbrt 0.5)) (cbrt (exp im))) (cbrt (exp im))) (/ (sqrt (cbrt 0.5)) (cbrt (exp im))) (/ (fabs (cbrt 0.5)) (* (sqrt (exp im)) 1)) (/ (sqrt (cbrt 0.5)) (sqrt (exp im))) (fabs (cbrt 0.5)) (/ (sqrt (cbrt 0.5)) (exp im)) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (sqrt 0.5)) (cbrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) 1 (/ (sqrt 0.5) (exp im)) (/ (sqrt (sqrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (sqrt 0.5)) (cbrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (/ (sqrt (sqrt 0.5)) (sqrt (exp im))) (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) 1 (/ (sqrt 0.5) (exp im)) (/ 1 (exp im)) (/ (exp im) (sqrt 0.5)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (exp im) (cbrt (sqrt 0.5))) (/ (exp im) (sqrt (cbrt 0.5))) (/ (exp im) (sqrt (sqrt 0.5))) (/ (exp im) (sqrt 0.5)) (/ (exp im) (sqrt (sqrt 0.5))) (/ (exp im) (sqrt 0.5)) (+ (+ (+ (- (fma 0.125 (/ im (/ (pow (+ 0.5 0.5) 2) im)) (/ 0.5 (/ (+ 0.5 0.5) im)))) (- (/ (* (* (* 0.5 im) (* 0.5 im)) 1/2) (pow (+ 0.5 0.5) 2)))) (* (/ 0.5 (/ (+ 0.5 0.5) (pow im 2))) (+ 1/2 (/ 0.5 (+ 0.5 0.5))))) (+ (fma 0.25 (/ im (/ (+ 0.5 0.5) im)) (/ 0.5 (/ (+ 0.5 0.5) im))) (+ (log 2) (log 0.5)))) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))) (* 0.5 (- (fma (* 1/2 im) im 1) im)) (/ 0.5 (/ (exp im) 1)) (/ 0.5 (/ (exp im) 1)) (+ (* 0.5 (- (fma (* 1/2 im) im 1) im)) (fma 0.5 im (fma 0.25 (pow im 2) 0.5))) (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) (fma (exp im) 0.5 (/ (pow (sqrt 0.5) 2) (exp im))) (* (sqrt 0.5) (- (fma (* 1/2 im) im 1) im)) (/ (sqrt 0.5) (exp im)) (/ (sqrt 0.5) (exp im)) 2.402 * * * [progress]: adding candidates to table 2.823 * [progress]: [Phase 3 of 3] Extracting. 2.823 * * [regime]: Finding splitpoints for: (# #) 2.823 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 2.823 * * * * [regimes]: Trying to branch on (cos re) from (# #) 2.839 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 2.856 * * * * [regimes]: Trying to branch on im from (# #) 2.871 * * * * [regimes]: Trying to branch on re from (# #) 2.885 * * * [regime]: Found split indices: #