18.974 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (exp (* (* x y) y)) 0.022 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 22 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 83 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 201 enodes (cost 3 ) 0.032 * * [simplify]: iteration 5 : 572 enodes (cost 3 ) 0.045 * * [simplify]: iteration 6 : 3029 enodes (cost 3 ) 0.091 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.092 * [simplify]: Simplified to: (exp (* (* x y) y)) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [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) 0.108 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.111 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of -1 in y 0.128 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of -1 in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.141 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.144 * [taylor]: Taking taylor expansion of 1/2 in y 0.144 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.147 * [taylor]: Taking taylor expansion of 1/6 in y 0.147 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.151 * [taylor]: Taking taylor expansion of 1/24 in y 0.151 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.156 * [taylor]: Taking taylor expansion of 1/120 in y 0.156 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.164 * [taylor]: Taking taylor expansion of 1/720 in y 0.164 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.165 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 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 (* 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 x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [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 (* 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 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.168 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of -1 in y 0.168 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.170 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.170 * [taylor]: Taking taylor expansion of -1 in y 0.170 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * * * [progress]: simplifying candidates 0.172 * [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))) 0.175 * * [simplify]: iteration 0 : 137 enodes (cost 137 ) 0.179 * * [simplify]: iteration 1 : 633 enodes (cost 116 ) 0.194 * * [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 0.331 * * [progress]: iteration 2 / 4 0.331 * * * [progress]: picking best candidate 0.332 * * * * [pick]: Picked # 0.332 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.347 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.353 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.364 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 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 0.364 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of -1 in y 0.381 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of -1 in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.393 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.393 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.414 * [taylor]: Taking taylor expansion of -1 in y 0.414 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of -1 in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.427 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.427 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.431 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.443 * [taylor]: Taking taylor expansion of -1 in y 0.443 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.444 * [taylor]: Taking taylor expansion of -1 in x 0.444 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of -1 in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.455 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.455 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.455 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.458 * [taylor]: Taking taylor expansion of 1/2 in y 0.458 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.461 * [taylor]: Taking taylor expansion of 1/6 in y 0.461 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.465 * [taylor]: Taking taylor expansion of 1/24 in y 0.465 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.470 * [taylor]: Taking taylor expansion of 1/120 in y 0.470 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.479 * [taylor]: Taking taylor expansion of 1/720 in y 0.479 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 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 (* 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 x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.481 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.482 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.483 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.483 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of -1 in y 0.483 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.483 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.484 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.485 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of -1 in y 0.485 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.486 * * * [progress]: simplifying candidates 0.487 * [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 (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)) (* x (pow y 2)) (* x (pow y 2)) (* 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))) 0.490 * * [simplify]: iteration 0 : 137 enodes (cost 293 ) 0.494 * * [simplify]: iteration 1 : 633 enodes (cost 242 ) 0.509 * * [simplify]: iteration 2 : 3158 enodes (cost 242 ) 0.577 * * [simplify]: iteration 3 : 5001 enodes (cost 242 ) 0.579 * [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 (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) (* (* x y) y) (* (* x y) y) (* (* 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))) 0.579 * * * [progress]: adding candidates to table 0.758 * [progress]: [Phase 3 of 3] Extracting. 0.760 * [simplify]: Simplifying using # : (* (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y)))) 0.761 * * [simplify]: iteration 0 : 11 enodes (cost 14 ) 0.761 * * [simplify]: iteration 1 : 11 enodes (cost 14 ) 0.762 * [simplify]: Simplified to: (* (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y)))) 1.336 * [regime-testing]: End program error score: 0.028119603541325346