12.068 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.024 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.025 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.026 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.026 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.046 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.046 * [taylor]: Taking taylor expansion of re in im 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.046 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.048 * [taylor]: Taking taylor expansion of im in im 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.049 * [taylor]: Taking taylor expansion of 1/2 in im 0.049 * [taylor]: Taking taylor expansion of im in im 0.052 * [taylor]: Taking taylor expansion of 0 in im 0.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.053 * [taylor]: Taking taylor expansion of im in im 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.053 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.053 * [taylor]: Taking taylor expansion of re in im 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.055 * [taylor]: Taking taylor expansion of re in re 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.058 * [taylor]: Taking taylor expansion of im in re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.058 * [taylor]: Taking taylor expansion of re in re 0.060 * [taylor]: Taking taylor expansion of 1 in im 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.062 * [taylor]: Taking taylor expansion of 1/2 in im 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.062 * [taylor]: Taking taylor expansion of im in im 0.066 * [taylor]: Taking taylor expansion of 0 in im 0.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.067 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.067 * [taylor]: Taking taylor expansion of re in im 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.069 * [taylor]: Taking taylor expansion of im in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of 1 in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.077 * [taylor]: Taking taylor expansion of 1/2 in im 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.081 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.081 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.083 * [taylor]: Taking taylor expansion of 1 in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of 1 in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.097 * [taylor]: Taking taylor expansion of re in im 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.108 * * * [progress]: simplifying candidates 0.108 * [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 (+ (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)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.112 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.115 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.123 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.159 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.160 * [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) (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)) im re (* -1 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.160 * * * [progress]: adding candidates to table 0.249 * * [progress]: iteration 2 / 4 0.249 * * * [progress]: picking best candidate 0.251 * * * * [pick]: Picked # 0.251 * * * [progress]: localizing error 0.256 * * * [progress]: generating rewritten candidates 0.256 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.257 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.257 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.257 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.257 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.257 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.257 * [taylor]: Taking taylor expansion of (* re re) in im 0.257 * [taylor]: Taking taylor expansion of re in im 0.257 * [taylor]: Taking taylor expansion of re in im 0.257 * [taylor]: Taking taylor expansion of (* im im) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.259 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.259 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.259 * [taylor]: Taking taylor expansion of (* re re) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [taylor]: Taking taylor expansion of (* im im) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.260 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.260 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.260 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.260 * [taylor]: Taking taylor expansion of (* re re) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of (* im im) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.261 * [taylor]: Taking taylor expansion of im in im 0.262 * [taylor]: Taking taylor expansion of 0 in im 0.263 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.263 * [taylor]: Taking taylor expansion of 1/2 in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of 0 in im 0.266 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.266 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.266 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.266 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.266 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.269 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.269 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.269 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.270 * [taylor]: Taking taylor expansion of im in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.270 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.273 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.273 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.273 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.276 * [taylor]: Taking taylor expansion of 1 in im 0.276 * [taylor]: Taking taylor expansion of 0 in im 0.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.278 * [taylor]: Taking taylor expansion of 1/2 in im 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of 0 in im 0.283 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.283 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.283 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.283 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.283 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.283 * [taylor]: Taking taylor expansion of -1 in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.283 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.284 * [taylor]: Taking taylor expansion of -1 in im 0.284 * [taylor]: Taking taylor expansion of re in im 0.284 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.284 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.284 * [taylor]: Taking taylor expansion of -1 in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.284 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.284 * [taylor]: Taking taylor expansion of -1 in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.289 * [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 -1 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 -1 in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.290 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.290 * [taylor]: Taking taylor expansion of -1 in re 0.290 * [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 -1 in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.293 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.293 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.293 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.293 * [taylor]: Taking taylor expansion of -1 in re 0.293 * [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 -1 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 0.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.294 * [taylor]: Taking taylor expansion of -1 in re 0.294 * [taylor]: Taking taylor expansion of im in re 0.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.294 * [taylor]: Taking taylor expansion of -1 in re 0.294 * [taylor]: Taking taylor expansion of im in re 0.297 * [taylor]: Taking taylor expansion of 1 in im 0.297 * [taylor]: Taking taylor expansion of 0 in im 0.299 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.299 * [taylor]: Taking taylor expansion of 1/2 in im 0.299 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.303 * [taylor]: Taking taylor expansion of 0 in im 0.304 * * * [progress]: simplifying candidates 0.305 * [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) 0.307 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.308 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.310 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.311 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.313 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.315 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.319 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.333 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.398 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.398 * [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) 0.399 * * * [progress]: adding candidates to table 0.430 * [progress]: [Phase 3 of 3] Extracting. 0.431 * [simplify]: Simplifying using # : (log (* 1 (hypot re im))) 0.432 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.432 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.432 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.433 * [simplify]: Simplified to: (log (* 1 (hypot re im))) 1.076 * [regime-testing]: End program error score: 0.00012501562695336918