24.315 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (* x (exp (* y y))) 0.025 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.028 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.030 * * [simplify]: iteration 2 : 21 enodes (cost 3 ) 0.033 * * [simplify]: iteration 3 : 48 enodes (cost 3 ) 0.036 * * [simplify]: iteration 4 : 133 enodes (cost 3 ) 0.040 * * [simplify]: iteration 5 : 437 enodes (cost 3 ) 0.054 * * [simplify]: iteration 6 : 1926 enodes (cost 3 ) 0.105 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.106 * [simplify]: Simplified to: (* x (exp (* y y))) 0.106 * * [progress]: iteration 1 / 4 0.106 * * * [progress]: picking best candidate 0.112 * * * * [pick]: Picked # 0.112 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.122 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.131 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.132 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.133 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.142 * [taylor]: Taking taylor expansion of -1 in y 0.142 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.142 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.143 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.143 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (* -1 (exp (/ 1 (pow y 2)))) in y 0.144 * [taylor]: Taking taylor expansion of -1 in y 0.144 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * * * [progress]: simplifying candidates 0.157 * [simplify]: Simplifying using # : (expm1 (* x (exp (* y y)))) (log1p (* x (exp (* y y)))) (* x (exp (* y y))) (+ (log x) (* y y)) (log (* x (exp (* y y)))) (exp (* x (exp (* y y)))) (* (* (* x x) x) (* (* (exp (* y y)) (exp (* y y))) (exp (* y y)))) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (* (* (* x (exp (* y y))) (* x (exp (* y y)))) (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) (* x 1) (* (cbrt x) (exp (* y y))) (* (sqrt x) (exp (* y y))) (* x (exp (* y y))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) 0.161 * * [simplify]: iteration 0 : 76 enodes (cost 102 ) 0.164 * * [simplify]: iteration 1 : 279 enodes (cost 87 ) 0.173 * * [simplify]: iteration 2 : 1028 enodes (cost 87 ) 0.199 * * [simplify]: iteration 3 : 4947 enodes (cost 87 ) 0.332 * * [simplify]: iteration 4 : 5001 enodes (cost 87 ) 0.333 * [simplify]: Simplified to: (expm1 (* x (exp (* y y)))) (log1p (* x (exp (* y y)))) (* x (exp (pow y 2))) (fma y y (log x)) (fma y y (log x)) (exp (* x (exp (* y y)))) (pow (* x (exp (pow y 2))) 3) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (pow (* x (exp (pow y 2))) 3) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) x (* (cbrt x) (exp (* y y))) (* (sqrt x) (exp (* y y))) (* x (exp (pow y 2))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) 0.333 * * * [progress]: adding candidates to table 0.385 * * [progress]: iteration 2 / 4 0.385 * * * [progress]: picking best candidate 0.387 * * * * [pick]: Picked # 0.387 * * * [progress]: localizing error 0.394 * * * [progress]: generating rewritten candidates 0.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.401 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.418 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.420 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.423 * * * [progress]: generating series expansions 0.423 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.423 * [approximate]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in (x y) around 0 0.436 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.436 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.443 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.445 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in y 0.455 * [taylor]: Taking taylor expansion of -1 in y 0.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.455 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.457 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.459 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (* -1 (sqrt (exp (/ 1 (pow y 2))))) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.460 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.474 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.475 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.479 * [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 (pow y 2))) x) in (x y) around 0 0.483 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.483 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 x in y 0.484 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.484 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.484 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.494 * [taylor]: Taking taylor expansion of -1 in y 0.494 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.494 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.495 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.495 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* -1 (exp (/ 1 (pow y 2)))) in y 0.496 * [taylor]: Taking taylor expansion of -1 in y 0.496 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.508 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.508 * [approximate]: Taking taylor expansion of (sqrt (exp (pow y 2))) in (y) around 0 0.508 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.508 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.519 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.519 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.519 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.521 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.525 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.525 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.526 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.527 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.531 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.531 * [approximate]: Taking taylor expansion of (sqrt (exp (pow y 2))) in (y) around 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.531 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.533 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.546 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.546 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.546 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.548 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.552 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.552 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.552 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.553 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.558 * * * [progress]: simplifying candidates 0.560 * [simplify]: Simplifying using # : (expm1 (* x (sqrt (exp (* y y))))) (log1p (* x (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) (+ (log x) (log (sqrt (exp (* y y))))) (log (* x (sqrt (exp (* y y))))) (exp (* x (sqrt (exp (* y y))))) (* (* (* x x) x) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (cbrt (* x (sqrt (exp (* y y))))) (cbrt (* x (sqrt (exp (* y y)))))) (cbrt (* x (sqrt (exp (* y y))))) (* (* (* x (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y))))) (sqrt (* x (sqrt (exp (* y y))))) (sqrt (* x (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* x (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))))) (* x (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* x (sqrt (sqrt (exp (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (exp (* y y))))) (* x 1) (* (cbrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y)))) (expm1 (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (log1p (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (+ (+ (log x) (log (sqrt (exp (* y y))))) (log (sqrt (exp (* y y))))) (+ (log (* x (sqrt (exp (* y y))))) (log (sqrt (exp (* y y))))) (log (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (exp (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (* (* x (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y))))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))))) (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (sqrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (sqrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))))) (* (* x (sqrt (exp (* y y)))) (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (* x (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (sqrt 1)) (* (* x (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) 1) (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (expm1 (sqrt (exp (* y y)))) (log1p (sqrt (exp (* y y)))) (log (sqrt (exp (* y y)))) (exp (sqrt (exp (* y y)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y))))) (cbrt (sqrt (exp (* y y)))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (sqrt (cbrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt 1) (sqrt (exp (* y y))) (/ y 2) (/ 1 2) (/ y 2) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (expm1 (sqrt (exp (* y y)))) (log1p (sqrt (exp (* y y)))) (log (sqrt (exp (* y y)))) (exp (sqrt (exp (* y y)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y))))) (cbrt (sqrt (exp (* y y)))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (sqrt (cbrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt 1) (sqrt (exp (* y y))) (/ y 2) (/ 1 2) (/ y 2) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) x (* x (sqrt (exp (pow y 2)))) (* x (sqrt (exp (pow y 2)))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (* 1/2 (pow y 2)) (+ (* 1/8 (pow y 4)) 1)) (sqrt (exp (pow y 2))) (sqrt (exp (pow y 2))) (+ (* 1/2 (pow y 2)) (+ (* 1/8 (pow y 4)) 1)) (sqrt (exp (pow y 2))) (sqrt (exp (pow y 2))) 0.565 * * [simplify]: iteration 0 : 172 enodes (cost 504 ) 0.571 * * [simplify]: iteration 1 : 797 enodes (cost 444 ) 0.592 * * [simplify]: iteration 2 : 3079 enodes (cost 432 ) 0.662 * * [simplify]: iteration 3 : 5001 enodes (cost 429 ) 0.664 * [simplify]: Simplified to: (expm1 (* x (sqrt (exp (* y y))))) (log1p (* x (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) (log (* x (sqrt (exp (* y y))))) (log (* x (sqrt (exp (* y y))))) (exp (* x (sqrt (exp (* y y))))) (pow (* x (sqrt (exp (* y y)))) 3) (* (cbrt (* x (sqrt (exp (* y y))))) (cbrt (* x (sqrt (exp (* y y)))))) (cbrt (* x (sqrt (exp (* y y))))) (pow (* x (sqrt (exp (* y y)))) 3) (sqrt (* x (sqrt (exp (* y y))))) (sqrt (* x (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* x (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))))) (* (fabs (cbrt (exp (* y y)))) x) (* x (sqrt (sqrt (exp (* y y))))) x (* x (sqrt (sqrt (exp (* y y))))) x (* (cbrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y)))) (expm1 (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (log1p (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* x (exp (* y y))) (* x (exp (* y y))) (fma y y (log x)) (fma y y (log x)) (fma y y (log x)) (pow (exp x) (exp (* y y))) (pow (* x (exp (* y y))) 3) (pow (* x (exp (* y y))) 3) (* (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))))) (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (pow (* x (exp (* y y))) 3) (sqrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (sqrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))))) (* x (* (sqrt (exp (* y y))) (fabs (cbrt (exp (* y y)))))) (* (* x (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) (* (* x (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) (exp (* y y)) (expm1 (sqrt (exp (* y y)))) (log1p (sqrt (exp (* y y)))) (log (sqrt (exp (pow y 2)))) (exp (sqrt (exp (pow y 2)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y))))) (cbrt (sqrt (exp (* y y)))) (pow (sqrt (exp (pow y 2))) 3) (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) 1 (sqrt (exp (pow y 2))) (/ y 2) 1/2 (/ y 2) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (expm1 (sqrt (exp (* y y)))) (log1p (sqrt (exp (* y y)))) (log (sqrt (exp (pow y 2)))) (exp (sqrt (exp (pow y 2)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y))))) (cbrt (sqrt (exp (* y y)))) (pow (sqrt (exp (pow y 2))) 3) (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) 1 (sqrt (exp (pow y 2))) (/ y 2) 1/2 (/ y 2) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) x (* x (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y)))) x (* x (exp (* y y))) (* x (exp (* y y))) (fma 1/2 (pow y 2) (fma 1/8 (pow y 4) 1)) (sqrt (exp (pow y 2))) (sqrt (exp (pow y 2))) (fma 1/2 (pow y 2) (fma 1/8 (pow y 4) 1)) (sqrt (exp (pow y 2))) (sqrt (exp (pow y 2))) 0.665 * * * [progress]: adding candidates to table 0.888 * [progress]: [Phase 3 of 3] Extracting. 0.888 * * [regime]: Finding splitpoints for: (# #) 0.889 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (exp (* y y)) (* x (exp (* y y))) y x) 0.889 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.900 * * * * [regimes]: Trying to branch on (exp (* y y)) from (# #) 0.912 * * * * [regimes]: Trying to branch on (* x (exp (* y y))) from (# #) 0.932 * * * * [regimes]: Trying to branch on y from (# #) 0.944 * * * * [regimes]: Trying to branch on x from (# #) 0.956 * * * [regime]: Found split indices: #