34.363 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.016 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.017 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.019 * [simplify]: Simplified to: (hypot re im) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.028 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.028 * [taylor]: Taking taylor expansion of (* re re) in im 0.028 * [taylor]: Taking taylor expansion of re in im 0.028 * [taylor]: Taking taylor expansion of re in im 0.028 * [taylor]: Taking taylor expansion of (* im im) in im 0.028 * [taylor]: Taking taylor expansion of im in im 0.028 * [taylor]: Taking taylor expansion of im in im 0.032 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.033 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.033 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.033 * [taylor]: Taking taylor expansion of (* re re) in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of (* im im) in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.034 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.034 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.034 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.034 * [taylor]: Taking taylor expansion of (* re re) in re 0.034 * [taylor]: Taking taylor expansion of re in re 0.034 * [taylor]: Taking taylor expansion of re in re 0.034 * [taylor]: Taking taylor expansion of (* im im) in re 0.034 * [taylor]: Taking taylor expansion of im in re 0.034 * [taylor]: Taking taylor expansion of im in re 0.036 * [taylor]: Taking taylor expansion of im in im 0.036 * [taylor]: Taking taylor expansion of 0 in im 0.037 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.037 * [taylor]: Taking taylor expansion of 1/2 in im 0.037 * [taylor]: Taking taylor expansion of im in im 0.040 * [taylor]: Taking taylor expansion of 0 in im 0.041 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.041 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.041 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.041 * [taylor]: Taking taylor expansion of re in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.041 * [taylor]: Taking taylor expansion of re in im 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.041 * [taylor]: Taking taylor expansion of im in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.041 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.045 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.048 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.048 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.048 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.048 * [taylor]: Taking taylor expansion of re in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.049 * [taylor]: Taking taylor expansion of re in re 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.049 * [taylor]: Taking taylor expansion of im in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.049 * [taylor]: Taking taylor expansion of im in re 0.052 * [taylor]: Taking taylor expansion of 1 in im 0.052 * [taylor]: Taking taylor expansion of 0 in im 0.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.055 * [taylor]: Taking taylor expansion of 1/2 in im 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.055 * [taylor]: Taking taylor expansion of im in im 0.059 * [taylor]: Taking taylor expansion of 0 in im 0.061 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.061 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.061 * [taylor]: Taking taylor expansion of -1 in im 0.061 * [taylor]: Taking taylor expansion of re in im 0.061 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.061 * [taylor]: Taking taylor expansion of -1 in im 0.061 * [taylor]: Taking taylor expansion of re in im 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.061 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.061 * [taylor]: Taking taylor expansion of -1 in im 0.061 * [taylor]: Taking taylor expansion of im in im 0.061 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.061 * [taylor]: Taking taylor expansion of -1 in im 0.061 * [taylor]: Taking taylor expansion of im in im 0.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.066 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.066 * [taylor]: Taking taylor expansion of -1 in re 0.066 * [taylor]: Taking taylor expansion of re in re 0.066 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.066 * [taylor]: Taking taylor expansion of -1 in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.066 * [taylor]: Taking taylor expansion of -1 in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.069 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.069 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.069 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.069 * [taylor]: Taking taylor expansion of -1 in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.070 * [taylor]: Taking taylor expansion of -1 in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.070 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.070 * [taylor]: Taking taylor expansion of -1 in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.070 * [taylor]: Taking taylor expansion of -1 in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.073 * [taylor]: Taking taylor expansion of 1 in im 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.076 * [taylor]: Taking taylor expansion of 1/2 in im 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.082 * * * [progress]: simplifying candidates 0.082 * [simplify]: Simplifying using # : (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (* -1 re) 0.085 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.087 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.088 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.089 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.091 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.093 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.097 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.113 * * [simplify]: iteration 7 : 1693 enodes (cost 24 ) 0.180 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.180 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (* -1 re) 0.180 * * * [progress]: adding candidates to table 0.202 * * [progress]: iteration 2 / 4 0.202 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.218 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.222 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.222 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.222 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.222 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.222 * [taylor]: Taking taylor expansion of (* re re) in im 0.222 * [taylor]: Taking taylor expansion of re in im 0.222 * [taylor]: Taking taylor expansion of re in im 0.222 * [taylor]: Taking taylor expansion of (* im im) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.223 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.223 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.223 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.223 * [taylor]: Taking taylor expansion of (* re re) in re 0.223 * [taylor]: Taking taylor expansion of re in re 0.223 * [taylor]: Taking taylor expansion of re in re 0.224 * [taylor]: Taking taylor expansion of (* im im) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.225 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.225 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.225 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.225 * [taylor]: Taking taylor expansion of (* re re) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [taylor]: Taking taylor expansion of (* im im) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [taylor]: Taking taylor expansion of 0 in im 0.228 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.228 * [taylor]: Taking taylor expansion of 1/2 in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of 0 in im 0.232 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.232 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.232 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.232 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.232 * [taylor]: Taking taylor expansion of re in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.232 * [taylor]: Taking taylor expansion of re in im 0.232 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.236 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.236 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.236 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.237 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.240 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.243 * [taylor]: Taking taylor expansion of 1 in im 0.244 * [taylor]: Taking taylor expansion of 0 in im 0.247 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of 1/2 in im 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of 0 in im 0.252 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.252 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.252 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.253 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.253 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.253 * [taylor]: Taking taylor expansion of -1 in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.253 * [taylor]: Taking taylor expansion of -1 in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.253 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.253 * [taylor]: Taking taylor expansion of -1 in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.253 * [taylor]: Taking taylor expansion of -1 in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.256 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.257 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.257 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.261 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.261 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.261 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.261 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.261 * [taylor]: Taking taylor expansion of -1 in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.261 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.261 * [taylor]: Taking taylor expansion of -1 in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.261 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.262 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.262 * [taylor]: Taking taylor expansion of -1 in re 0.262 * [taylor]: Taking taylor expansion of im in re 0.262 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.262 * [taylor]: Taking taylor expansion of -1 in re 0.262 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of 1 in im 0.265 * [taylor]: Taking taylor expansion of 0 in im 0.268 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.268 * [taylor]: Taking taylor expansion of 1/2 in im 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of 0 in im 0.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.273 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.273 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.273 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.273 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.273 * [taylor]: Taking taylor expansion of (* re re) in im 0.273 * [taylor]: Taking taylor expansion of re in im 0.273 * [taylor]: Taking taylor expansion of re in im 0.273 * [taylor]: Taking taylor expansion of (* im im) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.275 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.275 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.275 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.275 * [taylor]: Taking taylor expansion of (* re re) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.275 * [taylor]: Taking taylor expansion of (* im im) in re 0.275 * [taylor]: Taking taylor expansion of im in re 0.275 * [taylor]: Taking taylor expansion of im in re 0.276 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.276 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.276 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.276 * [taylor]: Taking taylor expansion of (* re re) in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.276 * [taylor]: Taking taylor expansion of (* im im) in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.277 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of 0 in im 0.279 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.279 * [taylor]: Taking taylor expansion of 1/2 in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.286 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.286 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.286 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.286 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.286 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.287 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.287 * [taylor]: Taking taylor expansion of im in im 0.290 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.290 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.290 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.294 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.294 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.294 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.294 * [taylor]: Taking taylor expansion of re in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.294 * [taylor]: Taking taylor expansion of re in re 0.294 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.298 * [taylor]: Taking taylor expansion of 1 in im 0.298 * [taylor]: Taking taylor expansion of 0 in im 0.300 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.300 * [taylor]: Taking taylor expansion of 1/2 in im 0.300 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.300 * [taylor]: Taking taylor expansion of im in im 0.305 * [taylor]: Taking taylor expansion of 0 in im 0.306 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.306 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.306 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.306 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.306 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.306 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.306 * [taylor]: Taking taylor expansion of -1 in im 0.306 * [taylor]: Taking taylor expansion of re in im 0.306 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.306 * [taylor]: Taking taylor expansion of -1 in im 0.306 * [taylor]: Taking taylor expansion of re in im 0.306 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.306 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.306 * [taylor]: Taking taylor expansion of -1 in im 0.306 * [taylor]: Taking taylor expansion of im in im 0.307 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.307 * [taylor]: Taking taylor expansion of -1 in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.310 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.310 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.310 * [taylor]: Taking taylor expansion of -1 in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.311 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.311 * [taylor]: Taking taylor expansion of -1 in re 0.311 * [taylor]: Taking taylor expansion of re in re 0.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.311 * [taylor]: Taking taylor expansion of -1 in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.311 * [taylor]: Taking taylor expansion of -1 in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.314 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.314 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.314 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.314 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.314 * [taylor]: Taking taylor expansion of -1 in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.315 * [taylor]: Taking taylor expansion of -1 in re 0.315 * [taylor]: Taking taylor expansion of re in re 0.315 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.315 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.315 * [taylor]: Taking taylor expansion of -1 in re 0.315 * [taylor]: Taking taylor expansion of im in re 0.315 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.315 * [taylor]: Taking taylor expansion of -1 in re 0.315 * [taylor]: Taking taylor expansion of im in re 0.318 * [taylor]: Taking taylor expansion of 1 in im 0.318 * [taylor]: Taking taylor expansion of 0 in im 0.321 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.321 * [taylor]: Taking taylor expansion of 1/2 in im 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.321 * [taylor]: Taking taylor expansion of im in im 0.326 * [taylor]: Taking taylor expansion of 0 in im 0.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.327 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.327 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.327 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.327 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.327 * [taylor]: Taking taylor expansion of (* re re) in im 0.327 * [taylor]: Taking taylor expansion of re in im 0.327 * [taylor]: Taking taylor expansion of re in im 0.327 * [taylor]: Taking taylor expansion of (* im im) in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.329 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.329 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.329 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.329 * [taylor]: Taking taylor expansion of (* re re) in re 0.329 * [taylor]: Taking taylor expansion of re in re 0.329 * [taylor]: Taking taylor expansion of re in re 0.329 * [taylor]: Taking taylor expansion of (* im im) in re 0.329 * [taylor]: Taking taylor expansion of im in re 0.329 * [taylor]: Taking taylor expansion of im in re 0.330 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.330 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.330 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.330 * [taylor]: Taking taylor expansion of (* re re) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [taylor]: Taking taylor expansion of (* im im) in re 0.330 * [taylor]: Taking taylor expansion of im in re 0.330 * [taylor]: Taking taylor expansion of im in re 0.332 * [taylor]: Taking taylor expansion of im in im 0.332 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.333 * [taylor]: Taking taylor expansion of 1/2 in im 0.333 * [taylor]: Taking taylor expansion of im in im 0.336 * [taylor]: Taking taylor expansion of 0 in im 0.337 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.337 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.337 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.337 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.337 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.341 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.341 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.345 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.345 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.345 * [taylor]: Taking taylor expansion of re in re 0.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.345 * [taylor]: Taking taylor expansion of re in re 0.345 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.345 * [taylor]: Taking taylor expansion of im in re 0.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.345 * [taylor]: Taking taylor expansion of im in re 0.348 * [taylor]: Taking taylor expansion of 1 in im 0.348 * [taylor]: Taking taylor expansion of 0 in im 0.351 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.351 * [taylor]: Taking taylor expansion of 1/2 in im 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.357 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.357 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.357 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.357 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.361 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.361 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.361 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.361 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.361 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.361 * [taylor]: Taking taylor expansion of -1 in re 0.361 * [taylor]: Taking taylor expansion of re in re 0.361 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.361 * [taylor]: Taking taylor expansion of -1 in re 0.361 * [taylor]: Taking taylor expansion of re in re 0.362 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.362 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.362 * [taylor]: Taking taylor expansion of -1 in re 0.362 * [taylor]: Taking taylor expansion of im in re 0.362 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.362 * [taylor]: Taking taylor expansion of -1 in re 0.362 * [taylor]: Taking taylor expansion of im in re 0.365 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.365 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.365 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.365 * [taylor]: Taking taylor expansion of -1 in re 0.365 * [taylor]: Taking taylor expansion of re in re 0.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.365 * [taylor]: Taking taylor expansion of -1 in re 0.365 * [taylor]: Taking taylor expansion of re in re 0.366 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.371 * [taylor]: Taking taylor expansion of 1 in im 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.374 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.374 * [taylor]: Taking taylor expansion of 1/2 in im 0.374 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.378 * [taylor]: Taking taylor expansion of 0 in im 0.380 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.380 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.380 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.380 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.380 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.380 * [taylor]: Taking taylor expansion of (* re re) in im 0.380 * [taylor]: Taking taylor expansion of re in im 0.380 * [taylor]: Taking taylor expansion of re in im 0.380 * [taylor]: Taking taylor expansion of (* im im) in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.382 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.382 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.382 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.382 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.382 * [taylor]: Taking taylor expansion of (* re re) in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [taylor]: Taking taylor expansion of (* im im) in re 0.382 * [taylor]: Taking taylor expansion of im in re 0.382 * [taylor]: Taking taylor expansion of im in re 0.383 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.383 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.383 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.383 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.383 * [taylor]: Taking taylor expansion of (* re re) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [taylor]: Taking taylor expansion of (* im im) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.385 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.385 * [taylor]: Taking taylor expansion of im in im 0.386 * [taylor]: Taking taylor expansion of 0 in im 0.388 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 0.388 * [taylor]: Taking taylor expansion of 1/4 in im 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.389 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.398 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.398 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.398 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.398 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.398 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.398 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.398 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.398 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.399 * [taylor]: Taking taylor expansion of re in im 0.399 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.399 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.399 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.403 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.403 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.404 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.404 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.404 * [taylor]: Taking taylor expansion of re in re 0.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.404 * [taylor]: Taking taylor expansion of re in re 0.404 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.404 * [taylor]: Taking taylor expansion of im in re 0.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.404 * [taylor]: Taking taylor expansion of im in re 0.408 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.408 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.409 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.409 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.409 * [taylor]: Taking taylor expansion of re in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.409 * [taylor]: Taking taylor expansion of re in re 0.409 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.409 * [taylor]: Taking taylor expansion of im in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.409 * [taylor]: Taking taylor expansion of im in re 0.413 * [taylor]: Taking taylor expansion of 0 in im 0.413 * [taylor]: Taking taylor expansion of +nan.0 in im 0.415 * [taylor]: Taking taylor expansion of +nan.0 in im 0.420 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 0.420 * [taylor]: Taking taylor expansion of +nan.0 in im 0.420 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 0.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.420 * [taylor]: Taking taylor expansion of 1/2 in im 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [taylor]: Taking taylor expansion of +nan.0 in im 0.427 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.427 * [taylor]: Taking taylor expansion of +nan.0 in im 0.427 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.427 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.427 * [taylor]: Taking taylor expansion of +nan.0 in im 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.428 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.428 * [taylor]: Taking taylor expansion of +nan.0 in im 0.437 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.437 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.437 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.437 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.437 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.437 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.437 * [taylor]: Taking taylor expansion of -1 in im 0.437 * [taylor]: Taking taylor expansion of re in im 0.437 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.437 * [taylor]: Taking taylor expansion of -1 in im 0.437 * [taylor]: Taking taylor expansion of re in im 0.437 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.437 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.437 * [taylor]: Taking taylor expansion of -1 in im 0.437 * [taylor]: Taking taylor expansion of im in im 0.438 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.438 * [taylor]: Taking taylor expansion of -1 in im 0.438 * [taylor]: Taking taylor expansion of im in im 0.442 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.442 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.443 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.443 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.448 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.448 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.448 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.448 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.448 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.448 * [taylor]: Taking taylor expansion of -1 in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.448 * [taylor]: Taking taylor expansion of -1 in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.449 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.449 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.449 * [taylor]: Taking taylor expansion of -1 in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.449 * [taylor]: Taking taylor expansion of -1 in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [taylor]: Taking taylor expansion of +nan.0 in im 0.459 * [taylor]: Taking taylor expansion of +nan.0 in im 0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 0.463 * [taylor]: Taking taylor expansion of +nan.0 in im 0.463 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 0.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.463 * [taylor]: Taking taylor expansion of 1/2 in im 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.464 * [taylor]: Taking taylor expansion of +nan.0 in im 0.470 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.470 * [taylor]: Taking taylor expansion of +nan.0 in im 0.470 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.470 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.470 * [taylor]: Taking taylor expansion of +nan.0 in im 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.471 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.471 * [taylor]: Taking taylor expansion of +nan.0 in im 0.479 * * * [progress]: simplifying candidates 0.480 * [simplify]: Simplifying using # : (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0.485 * * [simplify]: iteration 0 : 164 enodes (cost 296 ) 0.489 * * [simplify]: iteration 1 : 615 enodes (cost 256 ) 0.506 * * [simplify]: iteration 2 : 3758 enodes (cost 243 ) 0.637 * * [simplify]: iteration 3 : 5001 enodes (cost 243 ) 0.640 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (pow (cbrt (sqrt (hypot re im))) 4) (cbrt (sqrt (hypot re im)))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) 3) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) 1/2 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (fma (- (pow re 2)) +nan.0 (* +nan.0 (- im (pow im 2)))) (- (- (/ +nan.0 re) +nan.0) (/ (/ +nan.0 re) re)) (- (- (/ +nan.0 re) +nan.0) (/ (/ +nan.0 re) re)) 0.640 * * * [progress]: adding candidates to table 0.762 * * [progress]: iteration 3 / 4 0.762 * * * [progress]: picking best candidate 0.763 * * * * [pick]: Picked # 0.763 * * * [progress]: localizing error 0.768 * * * [progress]: generating rewritten candidates 0.768 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.787 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.805 * * * [progress]: generating series expansions 0.805 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.805 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.805 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.805 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.805 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.805 * [taylor]: Taking taylor expansion of re in im 0.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.805 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.806 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.806 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.807 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.807 * [taylor]: Taking taylor expansion of re in re 0.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [taylor]: Taking taylor expansion of 0 in im 0.809 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.809 * [taylor]: Taking taylor expansion of 1/2 in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.811 * [taylor]: Taking taylor expansion of 0 in im 0.812 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.812 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.812 * [taylor]: Taking taylor expansion of im in im 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.813 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.813 * [taylor]: Taking taylor expansion of re in im 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.815 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.815 * [taylor]: Taking taylor expansion of im in re 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.815 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of 1 in im 0.821 * [taylor]: Taking taylor expansion of 0 in im 0.823 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.823 * [taylor]: Taking taylor expansion of 1/2 in im 0.823 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.827 * [taylor]: Taking taylor expansion of 0 in im 0.828 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.828 * [taylor]: Taking taylor expansion of im in im 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.829 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.829 * [taylor]: Taking taylor expansion of re in im 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.831 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.831 * [taylor]: Taking taylor expansion of im in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.831 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.834 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.834 * [taylor]: Taking taylor expansion of im in re 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.834 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.834 * [taylor]: Taking taylor expansion of re in re 0.837 * [taylor]: Taking taylor expansion of 1 in im 0.837 * [taylor]: Taking taylor expansion of 0 in im 0.839 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.839 * [taylor]: Taking taylor expansion of 1/2 in im 0.839 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of 0 in im 0.847 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.847 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.847 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.847 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.847 * [taylor]: Taking taylor expansion of re in im 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.847 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.847 * [taylor]: Taking taylor expansion of re in re 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.847 * [taylor]: Taking taylor expansion of im in re 0.847 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.847 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.847 * [taylor]: Taking taylor expansion of re in re 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.847 * [taylor]: Taking taylor expansion of im in re 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.848 * [taylor]: Taking taylor expansion of 0 in im 0.849 * [taylor]: Taking taylor expansion of 1 in im 0.851 * [taylor]: Taking taylor expansion of 0 in im 0.853 * [taylor]: Taking taylor expansion of 0 in im 0.853 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.853 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.853 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.854 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.854 * [taylor]: Taking taylor expansion of re in im 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.854 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.854 * [taylor]: Taking taylor expansion of im in re 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.854 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.854 * [taylor]: Taking taylor expansion of re in re 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.855 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.855 * [taylor]: Taking taylor expansion of im in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.855 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.855 * [taylor]: Taking taylor expansion of re in re 0.856 * [taylor]: Taking taylor expansion of 1 in im 0.857 * [taylor]: Taking taylor expansion of 0 in im 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.858 * [taylor]: Taking taylor expansion of im in im 0.860 * [taylor]: Taking taylor expansion of 0 in im 0.863 * [taylor]: Taking taylor expansion of 0 in im 0.865 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.865 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.865 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.865 * [taylor]: Taking taylor expansion of re in im 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [taylor]: Taking taylor expansion of 1 in im 0.869 * [taylor]: Taking taylor expansion of 0 in im 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.872 * [taylor]: Taking taylor expansion of 0 in im 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.876 * * * [progress]: simplifying candidates 0.877 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (* 1 1)) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.881 * * [simplify]: iteration 0 : 133 enodes (cost 191 ) 0.884 * * [simplify]: iteration 1 : 559 enodes (cost 178 ) 0.892 * * [simplify]: iteration 2 : 1689 enodes (cost 173 ) 0.925 * * [simplify]: iteration 3 : 5001 enodes (cost 171 ) 0.927 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) im re (* -1 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.927 * * * [progress]: adding candidates to table 1.021 * [progress]: [Phase 3 of 3] Extracting. 1.021 * * [regime]: Finding splitpoints for: (# # #) 1.021 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 1.021 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.033 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 1.047 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # #) 1.059 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # #) 1.074 * * * * [regimes]: Trying to branch on im from (# # #) 1.088 * * * * [regimes]: Trying to branch on re from (# # #) 1.101 * * * [regime]: Found split indices: #