19.837 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (* x (exp (* y y))) 0.037 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.038 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.040 * * [simplify]: iteration 2 : 21 enodes (cost 3 ) 0.042 * * [simplify]: iteration 3 : 48 enodes (cost 3 ) 0.044 * * [simplify]: iteration 4 : 133 enodes (cost 3 ) 0.048 * * [simplify]: iteration 5 : 437 enodes (cost 3 ) 0.061 * * [simplify]: iteration 6 : 1926 enodes (cost 3 ) 0.107 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.108 * [simplify]: Simplified to: (* x (exp (* y y))) 0.108 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.110 * * * * [pick]: Picked # 0.110 * * * [progress]: localizing error 0.115 * * * [progress]: generating rewritten candidates 0.115 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.120 * * * [progress]: generating series expansions 0.120 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.121 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of 0 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 0.125 * [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 (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.128 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 x in y 0.129 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.129 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 x in x 0.129 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.129 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 x in x 0.130 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.138 * [taylor]: Taking taylor expansion of -1 in y 0.138 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.138 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.139 * [taylor]: Taking taylor expansion of -1 in x 0.139 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.139 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 x in x 0.140 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.140 * [taylor]: Taking taylor expansion of -1 in x 0.140 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.140 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (* -1 (exp (/ 1 (pow y 2)))) in y 0.140 * [taylor]: Taking taylor expansion of -1 in y 0.140 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.152 * * * [progress]: simplifying candidates 0.152 * [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))) 0.156 * * [simplify]: iteration 0 : 76 enodes (cost 102 ) 0.160 * * [simplify]: iteration 1 : 279 enodes (cost 87 ) 0.168 * * [simplify]: iteration 2 : 1028 enodes (cost 87 ) 0.195 * * [simplify]: iteration 3 : 4947 enodes (cost 87 ) 0.319 * * [simplify]: iteration 4 : 5001 enodes (cost 87 ) 0.320 * [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))) 0.320 * * * [progress]: adding candidates to table 0.373 * * [progress]: iteration 2 / 4 0.373 * * * [progress]: picking best candidate 0.375 * * * * [pick]: Picked # 0.375 * * * [progress]: localizing error 0.382 * * * [progress]: generating rewritten candidates 0.382 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.404 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.409 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.416 * * * [progress]: generating series expansions 0.416 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.416 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (exp (pow y 2)) 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 (* x (exp (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.424 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.425 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (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 in x 0.426 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.426 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (exp (/ 1 (pow y 2))) x))) 2) in (x y) around 0 0.435 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (exp (/ 1 (pow y 2))) x))) 2) in y 0.435 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (exp (/ 1 (pow y 2))) x))) in y 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.435 * [taylor]: Taking taylor expansion of -1 in y 0.435 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.435 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 x in y 0.437 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (exp (/ 1 (pow y 2))) x))) 2) in x 0.437 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (exp (/ 1 (pow y 2))) x))) in x 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.437 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (exp (/ 1 (pow y 2))) x))) 2) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (exp (/ 1 (pow y 2))) x))) in x 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.438 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (/ 1 (pow y 2))) 2)) in y 0.440 * [taylor]: Taking taylor expansion of +nan.0 in y 0.440 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 (pow y 2))) 2) in y 0.440 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (exp (/ 1 (pow y 2))) 3))) in y 0.444 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (/ 1 (pow y 2))) 3)) in y 0.444 * [taylor]: Taking taylor expansion of +nan.0 in y 0.444 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 (pow y 2))) 3) in y 0.444 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (exp (/ 1 (pow y 2))) 4))) in y 0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (exp (/ 1 (pow y 2))) 4)) in y 0.450 * [taylor]: Taking taylor expansion of +nan.0 in y 0.450 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 (pow y 2))) 4) in y 0.450 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.453 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.453 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of (exp (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 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) 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 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.461 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.461 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.470 * [taylor]: Taking taylor expansion of -1 in y 0.470 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.470 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.471 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.471 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (* -1 (exp (/ 1 (pow y 2)))) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.483 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.483 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of (exp (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 (exp (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.490 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.491 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.491 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.503 * [taylor]: Taking taylor expansion of -1 in y 0.503 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.503 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.504 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.504 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* -1 (exp (/ 1 (pow y 2)))) in y 0.504 * [taylor]: Taking taylor expansion of -1 in y 0.504 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.515 * * * [progress]: simplifying candidates 0.517 * [simplify]: Simplifying using # : (expm1 (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (log1p (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* x (exp (* y y))) (* x (exp (* y y)))) (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y))))) (* (* x (exp (* y y))) (* x (exp (* y y)))) (* (* x (exp (* y y))) (* x (exp (* y y)))) (* (* x (exp (* y y))) (* x (exp (* y y)))) (* (* x (exp (* y y))) (* x (exp (* y y)))) (+ 1 1) (+ (log (sqrt (* x (exp (* y y))))) (log (sqrt (* x (exp (* y y)))))) (log (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (exp (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (* (* (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y))))) (sqrt (* x (exp (* y y))))) (* (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y))))) (sqrt (* x (exp (* y y)))))) (* (cbrt (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (cbrt (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y))))))) (cbrt (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (* (* (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y))))) (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (* (* x (exp (* y y))) (* x (exp (* y y)))) (sqrt (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (sqrt (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))))) (* (* (cbrt (sqrt (* x (exp (* y y))))) (cbrt (sqrt (* x (exp (* y y)))))) (* (cbrt (sqrt (* x (exp (* y y))))) (cbrt (sqrt (* x (exp (* y y))))))) (* (cbrt (sqrt (* x (exp (* y y))))) (cbrt (sqrt (* x (exp (* y y)))))) (* (sqrt x) (sqrt x)) (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (* (sqrt (sqrt (* x (exp (* y y))))) (sqrt (sqrt (* x (exp (* y y)))))) (* (sqrt (sqrt (* x (exp (* y y))))) (sqrt (sqrt (* x (exp (* y y)))))) (* 1 1) (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y))))) (* (sqrt (sqrt (* x (exp (* y y))))) (sqrt (sqrt (* x (exp (* y y)))))) (* (sqrt (sqrt (* x (exp (* y y))))) (sqrt (sqrt (* x (exp (* y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* x (exp (* y y)))) (* (cbrt (sqrt (* x (exp (* y y))))) (cbrt (sqrt (* x (exp (* y y))))))) (* (sqrt (* x (exp (* y y)))) (sqrt x)) (* (sqrt (* x (exp (* y y)))) (sqrt (sqrt (* x (exp (* y y)))))) (* (sqrt (* x (exp (* y y)))) 1) (* (cbrt (sqrt (* x (exp (* y y))))) (sqrt (* x (exp (* y y))))) (* (sqrt (exp (* y y))) (sqrt (* x (exp (* y y))))) (* (sqrt (sqrt (* x (exp (* y y))))) (sqrt (* x (exp (* y y))))) (* (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y))))) (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))) (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))) (- (+ (* +nan.0 (pow (exp (pow y 2)) 2)) (- (+ (* +nan.0 (/ (pow (exp (pow y 2)) 4) (pow x 2))) (- (* +nan.0 (/ (pow (exp (pow y 2)) 3) x))))))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) 0.522 * * [simplify]: iteration 0 : 199 enodes (cost 449 ) 0.528 * * [simplify]: iteration 1 : 954 enodes (cost 375 ) 0.558 * * [simplify]: iteration 2 : 5001 enodes (cost 364 ) 0.561 * [simplify]: Simplified to: (expm1 (* x (exp (* y y)))) (log1p (* x (exp (* y y)))) 1 1 1 2 1 1 1 1 1 1 (* (pow x 2) (pow (exp (pow y 2)) 2)) (* x (exp (* y y))) (* (pow x 2) (pow (exp (pow y 2)) 2)) (* (pow x 2) (pow (exp (pow y 2)) 2)) (* (pow x 2) (pow (exp (pow y 2)) 2)) (* (pow x 2) (pow (exp (pow y 2)) 2)) 2 (fma y y (log x)) (fma y y (log x)) (exp (* x (exp (* y y)))) (pow (* x (exp (* y y))) 3) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (pow (* x (exp (* y y))) 3) (* (pow x 2) (pow (exp (pow y 2)) 2)) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (pow (cbrt (sqrt (* x (exp (* y y))))) 4) (* (cbrt (sqrt (* x (exp (* y y))))) (cbrt (sqrt (* x (exp (* y y)))))) x (exp (* y y)) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) 1 (* x (exp (* y y))) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) 1 2 1 1 1 1 (* (sqrt (* x (exp (* y y)))) (* (cbrt (sqrt (* x (exp (* y y))))) (cbrt (sqrt (* x (exp (* y y))))))) (* (sqrt (* x (exp (* y y)))) (sqrt x)) (pow (sqrt (sqrt (* x (exp (* y y))))) 3) (sqrt (* x (exp (* y y)))) (pow (cbrt (sqrt (* x (exp (* y y))))) 4) (* (sqrt (exp (* y y))) (sqrt (* x (exp (* y y))))) (pow (sqrt (sqrt (* x (exp (* y y))))) 3) (* x (exp (* y y))) (expm1 (* x (exp (* y y)))) (log1p (* x (exp (* y y)))) (* x (exp (* y y))) (fma y y (log x)) (fma y y (log x)) (exp (* x (exp (* y y)))) (pow (* x (exp (* y y))) 3) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (pow (* x (exp (* y y))) 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 (* y y))) (expm1 (* x (exp (* y y)))) (log1p (* x (exp (* y y)))) (* x (exp (* y y))) (fma y y (log x)) (fma y y (log x)) (exp (* x (exp (* y y)))) (pow (* x (exp (* y y))) 3) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (pow (* x (exp (* y y))) 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 (* y y))) x (* x (exp (* y y))) (fma (- (pow (exp (pow y 2)) 2)) +nan.0 (* +nan.0 (- (/ (pow (exp (pow y 2)) 4) (pow x 2)) (/ (pow (exp (pow y 2)) 3) x)))) x (* x (exp (* y y))) (* x (exp (* y y))) x (* x (exp (* y y))) (* x (exp (* y y))) 0.561 * * * [progress]: adding candidates to table 0.734 * [progress]: [Phase 3 of 3] Extracting. 0.734 * * [regime]: Finding splitpoints for: (# #) 0.734 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (exp (* y y)) (* x (exp (* y y))) y x) 0.734 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.745 * * * * [regimes]: Trying to branch on (exp (* y y)) from (# #) 0.757 * * * * [regimes]: Trying to branch on (* x (exp (* y y))) from (# #) 0.772 * * * * [regimes]: Trying to branch on y from (# #) 0.786 * * * * [regimes]: Trying to branch on x from (# #) 0.797 * * * [regime]: Found split indices: #