23.435 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (exp (* (* x y) y)) 0.020 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 22 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 83 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 201 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 572 enodes (cost 3 ) 0.045 * * [simplify]: iteration 6 : 3029 enodes (cost 3 ) 0.092 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.092 * [simplify]: Simplified to: (exp (* (* x y) y)) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.102 * * * [progress]: generating rewritten candidates 0.102 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.106 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.109 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.138 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of 1 in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.141 * [taylor]: Taking taylor expansion of 1/2 in y 0.141 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.144 * [taylor]: Taking taylor expansion of 1/6 in y 0.144 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.148 * [taylor]: Taking taylor expansion of 1/24 in y 0.148 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.153 * [taylor]: Taking taylor expansion of 1/120 in y 0.153 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.161 * [taylor]: Taking taylor expansion of 1/720 in y 0.161 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.162 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.162 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.163 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.163 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.165 * [taylor]: Taking taylor expansion of -1 in y 0.165 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.165 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.168 * * * [progress]: simplifying candidates 0.168 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.172 * * [simplify]: iteration 0 : 137 enodes (cost 137 ) 0.176 * * [simplify]: iteration 1 : 633 enodes (cost 116 ) 0.193 * * [simplify]: iteration 2 : 3158 enodes (cost 116 ) 0.264 * * [simplify]: iteration 3 : 5001 enodes (cost 116 ) 0.265 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* x (pow y 2))) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (fma x (pow y 2) (fma 1/2 (* (pow x 2) (pow y 4)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.265 * * * [progress]: adding candidates to table 0.312 * * [progress]: iteration 2 / 4 0.312 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.323 * * * [progress]: generating rewritten candidates 0.323 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 0.328 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.328 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.331 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 0.332 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.336 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.337 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of -1 in y 0.348 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.348 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of -1 in x 0.349 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of -1 in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.364 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (* x (pow y 2))))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* x (pow y 2))))) in y 0.364 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* x (pow y 2))))) 1) 0.364 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in y 0.364 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in y 0.364 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.364 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in y 0.364 * [taylor]: Taking taylor expansion of 1 in y 0.364 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 1 in y 0.366 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* x (pow y 2))))) in x 0.366 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* x (pow y 2))))) 1) 0.366 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 0.366 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 0.366 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.366 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (* x (pow y 2))))) in x 0.368 * [taylor]: Rewrote expression to (- (exp (log1p (exp (* x (pow y 2))))) 1) 0.368 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 0.368 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 0.368 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.368 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.375 * [taylor]: Taking taylor expansion of 1/2 in y 0.375 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.381 * [taylor]: Taking taylor expansion of 1/6 in y 0.381 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.390 * [taylor]: Taking taylor expansion of 1/24 in y 0.390 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.402 * [taylor]: Taking taylor expansion of 1/120 in y 0.402 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.419 * [taylor]: Taking taylor expansion of 1/720 in y 0.419 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.421 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (/ 1 (* x (pow y 2)))))) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ 1 (* x (pow y 2)))))) in y 0.421 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 1) 0.421 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in y 0.421 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in y 0.421 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.421 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in y 0.421 * [taylor]: Taking taylor expansion of 1 in y 0.421 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.421 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of 1 in y 0.422 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.422 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 1) 0.422 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.422 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 0.422 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.422 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 0.422 * [taylor]: Taking taylor expansion of 1 in x 0.422 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.422 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.423 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 1) 0.423 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.423 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 0.423 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.423 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.425 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (/ -1 (* x (pow y 2)))))) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ -1 (* x (pow y 2)))))) in y 0.435 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 1) 0.435 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in y 0.435 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in y 0.435 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.435 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in y 0.435 * [taylor]: Taking taylor expansion of 1 in y 0.435 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.435 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of -1 in y 0.435 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.436 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 1) 0.436 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.436 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 0.436 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.436 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 0.436 * [taylor]: Taking taylor expansion of 1 in x 0.436 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.436 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of 1 in x 0.437 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.437 * [taylor]: Rewrote expression to (- (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 1) 0.437 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.437 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 0.437 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.437 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 0.437 * [taylor]: Taking taylor expansion of 1 in x 0.437 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.439 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.439 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of -1 in y 0.439 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.448 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.448 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.448 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of x in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of 1 in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.451 * [taylor]: Taking taylor expansion of 1/2 in y 0.451 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.457 * [taylor]: Taking taylor expansion of 1/6 in y 0.457 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.461 * [taylor]: Taking taylor expansion of 1/24 in y 0.461 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.466 * [taylor]: Taking taylor expansion of 1/120 in y 0.466 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.474 * [taylor]: Taking taylor expansion of 1/720 in y 0.474 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.476 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.476 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.476 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.477 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.478 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.479 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.479 * [taylor]: Taking taylor expansion of -1 in y 0.479 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.479 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.479 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.481 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.481 * [taylor]: Taking taylor expansion of -1 in y 0.481 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * * * [progress]: simplifying candidates 0.482 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp (log1p (exp (* (* x y) y)))) (expm1 (expm1 (log1p (exp (* (* x y) y))))) (log1p (expm1 (log1p (exp (* (* x y) y))))) (log (expm1 (log1p (exp (* (* x y) y))))) (exp (expm1 (log1p (exp (* (* x y) y))))) (* (cbrt (expm1 (log1p (exp (* (* x y) y))))) (cbrt (expm1 (log1p (exp (* (* x y) y)))))) (cbrt (expm1 (log1p (exp (* (* x y) y))))) (* (* (expm1 (log1p (exp (* (* x y) y)))) (expm1 (log1p (exp (* (* x y) y))))) (expm1 (log1p (exp (* (* x y) y))))) (sqrt (expm1 (log1p (exp (* (* x y) y))))) (sqrt (expm1 (log1p (exp (* (* x y) y))))) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.486 * * [simplify]: iteration 0 : 149 enodes (cost 199 ) 0.490 * * [simplify]: iteration 1 : 642 enodes (cost 172 ) 0.507 * * [simplify]: iteration 2 : 3167 enodes (cost 172 ) 0.579 * * [simplify]: iteration 3 : 5001 enodes (cost 172 ) 0.581 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (exp (log1p (exp (* (* x y) y)))) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* (* x y) y)) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* (* x y) y)) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (fma x (pow y 2) (fma 1/2 (* (pow x 2) (pow y 4)) 1)) (exp (* (* x y) y)) (exp (* (* x y) y)) (fma x (pow y 2) (fma 1/2 (* (pow x 2) (pow y 4)) 1)) (exp (* (* x y) y)) (exp (* (* x y) y)) 0.581 * * * [progress]: adding candidates to table 0.660 * * [progress]: iteration 3 / 4 0.660 * * * [progress]: picking best candidate 0.662 * * * * [pick]: Picked # 0.662 * * * [progress]: localizing error 0.672 * * * [progress]: generating rewritten candidates 0.672 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 0.677 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.680 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.684 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.688 * * * [progress]: generating series expansions 0.688 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 0.688 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.692 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.694 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.710 * [taylor]: Taking taylor expansion of -1 in y 0.710 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.710 * [taylor]: Taking taylor expansion of -1 in x 0.710 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.711 * [taylor]: Taking taylor expansion of -1 in x 0.711 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.712 * [taylor]: Taking taylor expansion of -1 in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [taylor]: Taking taylor expansion of 0 in y 0.723 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.723 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.723 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.723 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.724 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of 1 in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.726 * [taylor]: Taking taylor expansion of 1/2 in y 0.726 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.729 * [taylor]: Taking taylor expansion of 1/6 in y 0.729 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.732 * [taylor]: Taking taylor expansion of 1/24 in y 0.732 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.738 * [taylor]: Taking taylor expansion of 1/120 in y 0.738 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.746 * [taylor]: Taking taylor expansion of 1/720 in y 0.746 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.748 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.748 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.748 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.748 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.749 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.750 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.751 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.751 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.751 * [taylor]: Taking taylor expansion of -1 in y 0.751 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.751 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.752 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.753 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.753 * [taylor]: Taking taylor expansion of -1 in y 0.753 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.753 * [taylor]: Taking taylor expansion of x in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.754 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.754 * [approximate]: Taking taylor expansion of (- (exp (log1p (exp (* x (pow y 2))))) 1) in (x y) around 0 0.754 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (* x (pow y 2))))) 1) in y 0.754 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in y 0.754 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in y 0.754 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.754 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in y 0.754 * [taylor]: Taking taylor expansion of 1 in y 0.754 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.754 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.754 * [taylor]: Taking taylor expansion of x in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of 1 in y 0.755 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (* x (pow y 2))))) 1) in x 0.755 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 0.755 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 0.755 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.755 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 0.755 * [taylor]: Taking taylor expansion of 1 in x 0.755 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.755 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of 1 in x 0.757 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (* x (pow y 2))))) 1) in x 0.757 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 0.757 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 0.757 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.757 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of 1 in x 0.757 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of 1 in x 0.759 * [taylor]: Taking taylor expansion of 1 in y 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.764 * [taylor]: Taking taylor expansion of 1/2 in y 0.765 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.770 * [taylor]: Taking taylor expansion of 1/6 in y 0.770 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.779 * [taylor]: Taking taylor expansion of 1/24 in y 0.779 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.791 * [taylor]: Taking taylor expansion of 1/120 in y 0.791 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.812 * [taylor]: Taking taylor expansion of 1/720 in y 0.812 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.813 * [approximate]: Taking taylor expansion of (- (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 1) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 1) in y 0.814 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in y 0.814 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in y 0.814 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.814 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in y 0.814 * [taylor]: Taking taylor expansion of 1 in y 0.814 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.814 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of 1 in y 0.815 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 1) in x 0.815 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.815 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 0.815 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.815 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 0.815 * [taylor]: Taking taylor expansion of 1 in x 0.815 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of 1 in x 0.816 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 1) in x 0.816 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.816 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 0.816 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.816 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 0.816 * [taylor]: Taking taylor expansion of 1 in x 0.816 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.816 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of 1 in x 0.817 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.817 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of x in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [approximate]: Taking taylor expansion of (- (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 1) in (x y) around 0 0.827 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 1) in y 0.827 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in y 0.827 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in y 0.827 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.827 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in y 0.827 * [taylor]: Taking taylor expansion of 1 in y 0.827 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.827 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.827 * [taylor]: Taking taylor expansion of -1 in y 0.827 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of 1 in y 0.828 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 1) in x 0.828 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.828 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 0.828 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.828 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 0.828 * [taylor]: Taking taylor expansion of 1 in x 0.828 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.828 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.828 * [taylor]: Taking taylor expansion of -1 in x 0.828 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.828 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of 1 in x 0.829 * [taylor]: Taking taylor expansion of (- (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 1) in x 0.829 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.829 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 0.829 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.829 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 0.829 * [taylor]: Taking taylor expansion of 1 in x 0.829 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of 1 in x 0.831 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.831 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.831 * [taylor]: Taking taylor expansion of -1 in y 0.831 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.841 * [approximate]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in (x y) around 0 0.841 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in y 0.841 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in y 0.841 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.841 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in y 0.841 * [taylor]: Taking taylor expansion of 1 in y 0.841 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.841 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 0.843 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 0.843 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.843 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 0.843 * [taylor]: Taking taylor expansion of 1 in x 0.843 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.843 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 0.844 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 0.844 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 0.844 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 0.844 * [taylor]: Taking taylor expansion of 1 in x 0.844 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.844 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of 2 in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.851 * [taylor]: Taking taylor expansion of 1/2 in y 0.851 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.856 * [taylor]: Taking taylor expansion of 1/6 in y 0.856 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.865 * [taylor]: Taking taylor expansion of 1/24 in y 0.865 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.877 * [taylor]: Taking taylor expansion of 1/120 in y 0.877 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.898 * [taylor]: Taking taylor expansion of 1/720 in y 0.898 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.899 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in y 0.899 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in y 0.899 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.899 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in y 0.899 * [taylor]: Taking taylor expansion of 1 in y 0.899 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.899 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.900 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 0.900 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.900 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 0.900 * [taylor]: Taking taylor expansion of 1 in x 0.900 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.900 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 0.901 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 0.901 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 0.902 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 0.902 * [taylor]: Taking taylor expansion of 1 in x 0.902 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.902 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 (* x (pow y 2)))) 1) in y 0.903 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.903 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of 1 in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in y 0.912 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in y 0.912 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.912 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in y 0.912 * [taylor]: Taking taylor expansion of 1 in y 0.912 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.912 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of -1 in y 0.912 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.913 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 0.913 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.913 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 0.913 * [taylor]: Taking taylor expansion of 1 in x 0.913 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.913 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.913 * [taylor]: Taking taylor expansion of -1 in x 0.913 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 0.914 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 0.914 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 0.914 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 0.914 * [taylor]: Taking taylor expansion of 1 in x 0.914 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.914 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.914 * [taylor]: Taking taylor expansion of -1 in x 0.914 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 (* x (pow y 2)))) 1) in y 0.915 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.915 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.915 * [taylor]: Taking taylor expansion of -1 in y 0.915 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of 1 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.924 * * * [progress]: simplifying candidates 0.925 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (fma (* (cbrt (exp (log1p (exp (* (* x y) y))))) (cbrt (exp (log1p (exp (* (* x y) y)))))) (cbrt (exp (log1p (exp (* (* x y) y))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (* (cbrt (exp (log1p (exp (* (* x y) y))))) (cbrt (exp (log1p (exp (* (* x y) y)))))) (cbrt (exp (log1p (exp (* (* x y) y))))) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (* (cbrt (exp (log1p (exp (* (* x y) y))))) (cbrt (exp (log1p (exp (* (* x y) y)))))) (cbrt (exp (log1p (exp (* (* x y) y))))) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (sqrt (exp (log1p (exp (* (* x y) y))))) (sqrt (exp (log1p (exp (* (* x y) y))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (sqrt (exp (log1p (exp (* (* x y) y))))) (sqrt (exp (log1p (exp (* (* x y) y))))) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (sqrt (exp (log1p (exp (* (* x y) y))))) (sqrt (exp (log1p (exp (* (* x y) y))))) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma 1 (exp (log1p (exp (* (* x y) y)))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma 1 (exp (log1p (exp (* (* x y) y)))) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma 1 (exp (log1p (exp (* (* x y) y)))) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (expm1 (- (exp (log1p (exp (* (* x y) y)))) 1)) (log1p (- (exp (log1p (exp (* (* x y) y)))) 1)) (- 1) (- 1) (- 1) (/ (exp (exp (log1p (exp (* (* x y) y))))) (exp 1)) (log (- (exp (log1p (exp (* (* x y) y)))) 1)) (exp (- (exp (log1p (exp (* (* x y) y)))) 1)) (* (cbrt (- (exp (log1p (exp (* (* x y) y)))) 1)) (cbrt (- (exp (log1p (exp (* (* x y) y)))) 1))) (cbrt (- (exp (log1p (exp (* (* x y) y)))) 1)) (* (* (- (exp (log1p (exp (* (* x y) y)))) 1) (- (exp (log1p (exp (* (* x y) y)))) 1)) (- (exp (log1p (exp (* (* x y) y)))) 1)) (sqrt (- (exp (log1p (exp (* (* x y) y)))) 1)) (sqrt (- (exp (log1p (exp (* (* x y) y)))) 1)) (- (pow (exp (log1p (exp (* (* x y) y)))) 3) (pow 1 3)) (+ (* (exp (log1p (exp (* (* x y) y)))) (exp (log1p (exp (* (* x y) y))))) (+ (* 1 1) (* (exp (log1p (exp (* (* x y) y)))) 1))) (- 1) (- (* (exp (log1p (exp (* (* x y) y)))) (exp (log1p (exp (* (* x y) y))))) (* 1 1)) (+ (exp (log1p (exp (* (* x y) y)))) 1) (+ (sqrt (exp (log1p (exp (* (* x y) y))))) (sqrt 1)) (- (sqrt (exp (log1p (exp (* (* x y) y))))) (sqrt 1)) (+ (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (- (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (+ (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (- (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (- (exp (log1p (exp (* (* x y) y)))) 1) (- 1) (expm1 (exp (log1p (exp (* (* x y) y))))) (log1p (exp (log1p (exp (* (* x y) y))))) (exp (* (cbrt (log1p (exp (* (* x y) y)))) (cbrt (log1p (exp (* (* x y) y)))))) (exp (sqrt (log1p (exp (* (* x y) y))))) (exp 1) (log (exp (log1p (exp (* (* x y) y))))) (exp (exp (log1p (exp (* (* x y) y))))) (* (cbrt (exp (log1p (exp (* (* x y) y))))) (cbrt (exp (log1p (exp (* (* x y) y)))))) (cbrt (exp (log1p (exp (* (* x y) y))))) (* (* (exp (log1p (exp (* (* x y) y)))) (exp (log1p (exp (* (* x y) y))))) (exp (log1p (exp (* (* x y) y))))) (sqrt (exp (log1p (exp (* (* x y) y))))) (sqrt (exp (log1p (exp (* (* x y) y))))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 2)) (+ (exp (* x (pow y 2))) 1) (+ (exp (* x (pow y 2))) 1) 0.931 * * [simplify]: iteration 0 : 270 enodes (cost 608 ) 0.938 * * [simplify]: iteration 1 : 1089 enodes (cost 451 ) 0.962 * * [simplify]: iteration 2 : 4733 enodes (cost 429 ) 1.066 * * [simplify]: iteration 3 : 5001 enodes (cost 390 ) 1.069 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* x (pow y 2))) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (fma (- 1/2) 2 (pow (cbrt (exp (log1p (exp (* (* x y) y))))) 3)) 0 (fma (- 1/2) 2 (pow (cbrt (exp (log1p (exp (* (* x y) y))))) 3)) 0 (fma (- 1/2) 2 (pow (cbrt (exp (log1p (exp (* (* x y) y))))) 3)) 0 (exp (* x (pow y 2))) 0 (exp (* x (pow y 2))) 0 (exp (* x (pow y 2))) 0 (exp (* x (pow y 2))) 0 (exp (* x (pow y 2))) 0 (exp (* x (pow y 2))) 0 (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (- 1) (- 1) (- 1) (exp (exp (* (* x y) y))) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* x (pow y 2))) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (- (pow (exp (log1p (exp (* (* x y) y)))) 3) 1) (fma (exp (log1p (exp (* (* x y) y)))) (+ (exp (log1p (exp (* (* x y) y)))) 1) 1) (- 1) (fma (- 1/2) 2 (pow (exp 2) (log1p (exp (* (* x y) y))))) (+ (exp (log1p (exp (* (* x y) y)))) 1) (+ (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (- (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (+ (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (- (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (+ (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (- (sqrt (exp (log1p (exp (* (* x y) y))))) 1) (exp (* x (pow y 2))) (- 1) (expm1 (exp (log1p (exp (* (* x y) y))))) (log1p (exp (log1p (exp (* (* x y) y))))) (exp (* (cbrt (log1p (exp (* (* x y) y)))) (cbrt (log1p (exp (* (* x y) y)))))) (exp (sqrt (log1p (exp (* (* x y) y))))) E (log1p (exp (* (* x y) y))) (exp (exp (log1p (exp (* (* x y) y))))) (* (cbrt (exp (log1p (exp (* (* x y) y))))) (cbrt (exp (log1p (exp (* (* x y) y)))))) (cbrt (exp (log1p (exp (* (* x y) y))))) (pow (exp (log1p (exp (* (* x y) y)))) 3) (sqrt (exp (log1p (exp (* (* x y) y))))) (sqrt (exp (log1p (exp (* (* x y) y))))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (fma x (pow y 2) (fma 1/2 (* (pow x 2) (pow y 4)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) (fma x (pow y 2) (fma 1/2 (* (pow x 2) (pow y 4)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) (fma x (pow y 2) (fma 1/2 (* (pow x 2) (pow y 4)) 2)) (+ (exp (* x (pow y 2))) 1) (+ (exp (* x (pow y 2))) 1) 1.069 * * * [progress]: adding candidates to table 1.212 * * [progress]: iteration 4 / 4 1.212 * * * [progress]: picking best candidate 1.214 * * * * [pick]: Picked # 1.214 * * * [progress]: localizing error 1.231 * * * [progress]: generating rewritten candidates 1.231 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1 1) 1.236 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 1.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.255 * * * [progress]: generating series expansions 1.255 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1 1) 1.255 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.255 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.255 * [taylor]: Taking taylor expansion of x in y 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.255 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.255 * [taylor]: Taking taylor expansion of y in x 1.255 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.255 * [taylor]: Taking taylor expansion of y in x 1.255 * [taylor]: Taking taylor expansion of 0 in y 1.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.256 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.259 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.259 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.259 * [taylor]: Taking taylor expansion of x in y 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.260 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.260 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.260 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.265 * [taylor]: Taking taylor expansion of 0 in y 1.268 * [taylor]: Taking taylor expansion of 0 in y 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.272 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.272 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.272 * [taylor]: Taking taylor expansion of -1 in y 1.272 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.272 * [taylor]: Taking taylor expansion of x in y 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.272 * [taylor]: Taking taylor expansion of y in y 1.272 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.272 * [taylor]: Taking taylor expansion of -1 in x 1.272 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.273 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.273 * [taylor]: Taking taylor expansion of -1 in x 1.273 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.273 * [taylor]: Taking taylor expansion of y in x 1.273 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.273 * [taylor]: Taking taylor expansion of -1 in y 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.275 * [taylor]: Taking taylor expansion of 0 in y 1.278 * [taylor]: Taking taylor expansion of 0 in y 1.281 * [taylor]: Taking taylor expansion of 0 in y 1.285 * [taylor]: Taking taylor expansion of 0 in y 1.285 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.285 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.285 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.285 * [taylor]: Taking taylor expansion of x in y 1.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.285 * [taylor]: Taking taylor expansion of y in y 1.285 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.286 * [taylor]: Taking taylor expansion of 0 in y 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of 0 in y 1.289 * [taylor]: Taking taylor expansion of 0 in y 1.289 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.290 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.290 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.290 * [taylor]: Taking taylor expansion of x in y 1.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.290 * [taylor]: Taking taylor expansion of y in y 1.290 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.290 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.290 * [taylor]: Taking taylor expansion of y in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.291 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.291 * [taylor]: Taking taylor expansion of y in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.293 * [taylor]: Taking taylor expansion of 0 in y 1.295 * [taylor]: Taking taylor expansion of 0 in y 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.302 * [taylor]: Taking taylor expansion of 0 in y 1.302 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.302 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.302 * [taylor]: Taking taylor expansion of -1 in y 1.302 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.303 * [taylor]: Taking taylor expansion of -1 in x 1.303 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.303 * [taylor]: Taking taylor expansion of y in x 1.303 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.303 * [taylor]: Taking taylor expansion of -1 in x 1.303 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.303 * [taylor]: Taking taylor expansion of y in x 1.304 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.304 * [taylor]: Taking taylor expansion of -1 in y 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.305 * [taylor]: Taking taylor expansion of 0 in y 1.308 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [taylor]: Taking taylor expansion of 0 in y 1.315 * [taylor]: Taking taylor expansion of 0 in y 1.315 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 1.315 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.315 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.315 * [taylor]: Taking taylor expansion of x in y 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.315 * [taylor]: Taking taylor expansion of y in y 1.315 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of 0 in y 1.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.316 * [taylor]: Taking taylor expansion of y in y 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.319 * [taylor]: Taking taylor expansion of 0 in y 1.319 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.319 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.319 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.319 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.320 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.321 * [taylor]: Taking taylor expansion of y in y 1.322 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.327 * [taylor]: Taking taylor expansion of 0 in y 1.331 * [taylor]: Taking taylor expansion of 0 in y 1.331 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.331 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.331 * [taylor]: Taking taylor expansion of -1 in y 1.331 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.331 * [taylor]: Taking taylor expansion of x in y 1.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.331 * [taylor]: Taking taylor expansion of y in y 1.332 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.332 * [taylor]: Taking taylor expansion of -1 in x 1.332 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.332 * [taylor]: Taking taylor expansion of y in x 1.332 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.332 * [taylor]: Taking taylor expansion of -1 in x 1.332 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.332 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of -1 in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.334 * [taylor]: Taking taylor expansion of 0 in y 1.337 * [taylor]: Taking taylor expansion of 0 in y 1.340 * [taylor]: Taking taylor expansion of 0 in y 1.347 * [taylor]: Taking taylor expansion of 0 in y 1.348 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.348 * [approximate]: Taking taylor expansion of (pow (exp (log1p (exp (* x (pow y 2))))) 3) in (x y) around 0 1.348 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (* x (pow y 2))))) 3) in y 1.348 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in y 1.348 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in y 1.348 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 1.348 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in y 1.348 * [taylor]: Taking taylor expansion of 1 in y 1.348 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 1.348 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.348 * [taylor]: Taking taylor expansion of x in y 1.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.348 * [taylor]: Taking taylor expansion of y in y 1.349 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (* x (pow y 2))))) 3) in x 1.349 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 1.350 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 1.350 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 1.350 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 1.350 * [taylor]: Taking taylor expansion of 1 in x 1.350 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 1.350 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.350 * [taylor]: Taking taylor expansion of y in x 1.351 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (* x (pow y 2))))) 3) in x 1.351 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* x (pow y 2))))) in x 1.351 * [taylor]: Taking taylor expansion of (log1p (exp (* x (pow y 2)))) in x 1.351 * [taylor]: Rewrote expression to (log (+ 1 (exp (* x (pow y 2))))) 1.351 * [taylor]: Taking taylor expansion of (+ 1 (exp (* x (pow y 2)))) in x 1.351 * [taylor]: Taking taylor expansion of 1 in x 1.351 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 1.351 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.351 * [taylor]: Taking taylor expansion of y in x 1.353 * [taylor]: Taking taylor expansion of 8 in y 1.355 * [taylor]: Taking taylor expansion of (* 12 (pow y 2)) in y 1.355 * [taylor]: Taking taylor expansion of 12 in y 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.359 * [taylor]: Taking taylor expansion of (* 12 (pow y 4)) in y 1.359 * [taylor]: Taking taylor expansion of 12 in y 1.359 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of (* 9 (pow y 6)) in y 1.365 * [taylor]: Taking taylor expansion of 9 in y 1.365 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.375 * [taylor]: Taking taylor expansion of (* 11/2 (pow y 8)) in y 1.375 * [taylor]: Taking taylor expansion of 11/2 in y 1.375 * [taylor]: Taking taylor expansion of (pow y 8) in y 1.375 * [taylor]: Taking taylor expansion of y in y 1.389 * [taylor]: Taking taylor expansion of (* 57/20 (pow y 10)) in y 1.389 * [taylor]: Taking taylor expansion of 57/20 in y 1.389 * [taylor]: Taking taylor expansion of (pow y 10) in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (* 77/60 (pow y 12)) in y 1.410 * [taylor]: Taking taylor expansion of 77/60 in y 1.410 * [taylor]: Taking taylor expansion of (pow y 12) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.411 * [approximate]: Taking taylor expansion of (pow (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 3) in (x y) around 0 1.411 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 3) in y 1.411 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in y 1.411 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in y 1.411 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 1.411 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in y 1.411 * [taylor]: Taking taylor expansion of 1 in y 1.411 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 1.411 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.411 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.411 * [taylor]: Taking taylor expansion of x in y 1.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.411 * [taylor]: Taking taylor expansion of y in y 1.412 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 3) in x 1.412 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 1.412 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 1.412 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 1.412 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 1.412 * [taylor]: Taking taylor expansion of 1 in x 1.412 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.412 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.412 * [taylor]: Taking taylor expansion of y in x 1.413 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (/ 1 (* x (pow y 2)))))) 3) in x 1.413 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 1 (* x (pow y 2)))))) in x 1.413 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 (* x (pow y 2))))) in x 1.414 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 (* x (pow y 2)))))) 1.414 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in x 1.414 * [taylor]: Taking taylor expansion of 1 in x 1.414 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 1.414 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.414 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.414 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (* (pow (+ (exp (/ 1 (* x (pow y 2)))) 1) 2) (+ 1 (exp (/ 1 (* x (pow y 2)))))) in y 1.415 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 (* x (pow y 2)))) 1) 2) in y 1.415 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 (* x (pow y 2)))) 1) in y 1.415 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 1.415 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.415 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.415 * [taylor]: Taking taylor expansion of x in y 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of 1 in y 1.416 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 (* x (pow y 2))))) in y 1.416 * [taylor]: Taking taylor expansion of 1 in y 1.416 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 1.416 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.416 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.419 * [taylor]: Taking taylor expansion of 0 in y 1.424 * [taylor]: Taking taylor expansion of 0 in y 1.430 * [taylor]: Taking taylor expansion of 0 in y 1.430 * [approximate]: Taking taylor expansion of (pow (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 3) in (x y) around 0 1.430 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 3) in y 1.430 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in y 1.430 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in y 1.431 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 1.431 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in y 1.431 * [taylor]: Taking taylor expansion of 1 in y 1.431 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 1.431 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.431 * [taylor]: Taking taylor expansion of -1 in y 1.431 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.431 * [taylor]: Taking taylor expansion of x in y 1.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.431 * [taylor]: Taking taylor expansion of y in y 1.431 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 3) in x 1.431 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 1.431 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 1.432 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 1.432 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 1.432 * [taylor]: Taking taylor expansion of 1 in x 1.432 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 1.432 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.432 * [taylor]: Taking taylor expansion of -1 in x 1.432 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.432 * [taylor]: Taking taylor expansion of y in x 1.436 * [taylor]: Taking taylor expansion of (pow (exp (log1p (exp (/ -1 (* x (pow y 2)))))) 3) in x 1.436 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -1 (* x (pow y 2)))))) in x 1.436 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 (* x (pow y 2))))) in x 1.436 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 (* x (pow y 2)))))) 1.436 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 (* x (pow y 2))))) in x 1.436 * [taylor]: Taking taylor expansion of 1 in x 1.436 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 1.436 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.436 * [taylor]: Taking taylor expansion of -1 in x 1.436 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.436 * [taylor]: Taking taylor expansion of y in x 1.437 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 (* x (pow y 2)))) 1) 3) in y 1.437 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 (* x (pow y 2)))) 1) in y 1.438 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 1.438 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.438 * [taylor]: Taking taylor expansion of -1 in y 1.438 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.438 * [taylor]: Taking taylor expansion of x in y 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.438 * [taylor]: Taking taylor expansion of y in y 1.438 * [taylor]: Taking taylor expansion of 1 in y 1.441 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [taylor]: Taking taylor expansion of 0 in y 1.451 * [taylor]: Taking taylor expansion of 0 in y 1.451 * * * [progress]: simplifying candidates 1.452 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (pow (exp (log1p (exp (* (* x y) y)))) 3)) (log1p (pow (exp (log1p (exp (* (* x y) y)))) 3)) (* (log1p (exp (* (* x y) y))) 3) (* (log (exp (log1p (exp (* (* x y) y))))) 3) (* 1 3) (* (cbrt (log1p (exp (* (* x y) y)))) 3) (* (sqrt (log1p (exp (* (* x y) y)))) 3) (* (log1p (exp (* (* x y) y))) 3) (pow (exp (log1p (exp (* (* x y) y)))) (* (cbrt 3) (cbrt 3))) (pow (exp (log1p (exp (* (* x y) y)))) (sqrt 3)) (pow (exp (log1p (exp (* (* x y) y)))) 1) (pow (* (cbrt (exp (log1p (exp (* (* x y) y))))) (cbrt (exp (log1p (exp (* (* x y) y)))))) 3) (pow (cbrt (exp (log1p (exp (* (* x y) y))))) 3) (pow (sqrt (exp (log1p (exp (* (* x y) y))))) 3) (pow (sqrt (exp (log1p (exp (* (* x y) y))))) 3) (pow 1 3) (pow (exp (log1p (exp (* (* x y) y)))) 3) (* (exp (log1p (exp (* (* x y) y)))) (exp (log1p (exp (* (* x y) y))))) (log (pow (exp (log1p (exp (* (* x y) y)))) 3)) (exp (pow (exp (log1p (exp (* (* x y) y)))) 3)) (* (cbrt (pow (exp (log1p (exp (* (* x y) y)))) 3)) (cbrt (pow (exp (log1p (exp (* (* x y) y)))) 3))) (cbrt (pow (exp (log1p (exp (* (* x y) y)))) 3)) (* (* (pow (exp (log1p (exp (* (* x y) y)))) 3) (pow (exp (log1p (exp (* (* x y) y)))) 3)) (pow (exp (log1p (exp (* (* x y) y)))) 3)) (pow (* (cbrt (exp (log1p (exp (* (* x y) y))))) (cbrt (exp (log1p (exp (* (* x y) y)))))) 3) (pow (cbrt (exp (log1p (exp (* (* x y) y))))) 3) (pow (sqrt (exp (log1p (exp (* (* x y) y))))) 3) (pow (sqrt (exp (log1p (exp (* (* x y) y))))) 3) (pow 1 3) (pow (exp (log1p (exp (* (* x y) y)))) 3) (* (exp (log1p (exp (* (* x y) y)))) (exp (log1p (exp (* (* x y) y))))) (sqrt (pow (exp (log1p (exp (* (* x y) y)))) 3)) (sqrt (pow (exp (log1p (exp (* (* x y) y)))) 3)) (pow (exp (log1p (exp (* (* x y) y)))) (/ 3 2)) (pow (exp (log1p (exp (* (* x y) y)))) (/ 3 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* 12 (* x (pow y 2))) (+ (* 12 (* (pow x 2) (pow y 4))) 8)) (pow (+ (exp (* x (pow y 2))) 1) 3) (pow (+ (exp (* x (pow y 2))) 1) 3) 1.458 * * [simplify]: iteration 0 : 219 enodes (cost 469 ) 1.464 * * [simplify]: iteration 1 : 1007 enodes (cost 398 ) 1.492 * * [simplify]: iteration 2 : 5001 enodes (cost 394 ) 1.495 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* x (pow y 2))) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (pow (exp (log1p (exp (* (* x y) y)))) 3)) (log1p (pow (exp (log1p (exp (* (* x y) y)))) 3)) (* (log1p (exp (* (* x y) y))) 3) (* (log1p (exp (* (* x y) y))) 3) 3 (* (cbrt (log1p (exp (* (* x y) y)))) 3) (* (sqrt (log1p (exp (* (* x y) y)))) 3) (* (log1p (exp (* (* x y) y))) 3) (pow (exp (log1p (exp (* (* x y) y)))) (* (cbrt 3) (cbrt 3))) (pow (exp (log1p (exp (* (* x y) y)))) (sqrt 3)) (exp (log1p (exp (* (* x y) y)))) (pow (exp (log1p (exp (* (* x y) y)))) 2) (exp (log1p (exp (* (* x y) y)))) (pow (exp (log1p (exp (* (* x y) y)))) 3/2) (pow (exp (log1p (exp (* (* x y) y)))) 3/2) 1 (pow (exp (log1p (exp (* (* x y) y)))) 3) (pow (exp (log1p (exp (* (* x y) y)))) 2) (* (log1p (exp (* (* x y) y))) 3) (exp (pow (exp (log1p (exp (* (* x y) y)))) 3)) (pow (exp (log1p (exp (* (* x y) y)))) 2) (exp (log1p (exp (* (* x y) y)))) (pow (pow (exp (log1p (exp (* (* x y) y)))) 3) 3) (pow (exp (log1p (exp (* (* x y) y)))) 2) (exp (log1p (exp (* (* x y) y)))) (pow (exp (log1p (exp (* (* x y) y)))) 3/2) (pow (exp (log1p (exp (* (* x y) y)))) 3/2) 1 (pow (exp (log1p (exp (* (* x y) y)))) 3) (pow (exp (log1p (exp (* (* x y) y)))) 2) (sqrt (pow (exp (log1p (exp (* (* x y) y)))) 3)) (sqrt (pow (exp (log1p (exp (* (* x y) y)))) 3)) (pow (exp (log1p (exp (* (* x y) y)))) 3/2) (pow (exp (log1p (exp (* (* x y) y)))) 3/2) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (fma 12 (* x (pow y 2)) (fma 12 (* (pow x 2) (pow y 4)) 8)) (pow (+ (exp (* x (pow y 2))) 1) 3) (pow (+ (exp (* x (pow y 2))) 1) 3) 1.495 * * * [progress]: adding candidates to table 1.728 * [progress]: [Phase 3 of 3] Extracting. 1.728 * * [regime]: Finding splitpoints for: (# #) 1.729 * * * [regime-changes]: Trying 4 branch expressions: ((* (* x y) y) (exp (* (* x y) y)) y x) 1.729 * * * * [regimes]: Trying to branch on (* (* x y) y) from (# #) 1.743 * * * * [regimes]: Trying to branch on (exp (* (* x y) y)) from (# #) 1.756 * * * * [regimes]: Trying to branch on y from (# #) 1.768 * * * * [regimes]: Trying to branch on x from (# #) 1.780 * * * [regime]: Found split indices: #