18.664 * [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. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.038 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.041 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.047 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.073 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.294 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.296 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.299 * * [progress]: iteration 1 / 4 0.299 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.307 * * * [progress]: generating series expansions 0.307 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.308 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.308 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.308 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.308 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of 3 in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.308 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.308 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of 3 in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.308 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.308 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of 3 in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 0 in x 0.310 * [taylor]: Taking taylor expansion of 3 in x 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.314 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.315 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.315 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.315 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.315 * [taylor]: Taking taylor expansion of 3 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.316 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.316 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.316 * [taylor]: Taking taylor expansion of 3 in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.317 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.317 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.317 * [taylor]: Taking taylor expansion of 3 in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of 3 in x 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.329 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.329 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.329 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of 3 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.330 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.330 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of 3 in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.331 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.331 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.331 * [taylor]: Taking taylor expansion of 3 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of 3 in x 0.333 * [taylor]: Taking taylor expansion of 0 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.343 * * * [progress]: simplifying candidates 0.343 * [simplify]: Simplifying using # : (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.346 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.347 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.349 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.355 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.392 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.393 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.393 * * * [progress]: adding candidates to table 0.416 * * [progress]: iteration 2 / 4 0.416 * * * [progress]: picking best candidate 0.420 * * * * [pick]: Picked # 0.420 * * * [progress]: localizing error 0.426 * * * [progress]: generating rewritten candidates 0.426 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.431 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.437 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.437 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of 3 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of 3 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.446 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.446 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of 3 in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of 3 in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.454 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.454 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of 3 in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of 3 in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.462 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.463 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of 3 in x 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of 3 in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of 3 in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 0 in x 0.465 * [taylor]: Taking taylor expansion of 3 in x 0.466 * [taylor]: Taking taylor expansion of 0 in x 0.469 * [taylor]: Taking taylor expansion of 0 in x 0.469 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.470 * [taylor]: Taking taylor expansion of 3 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.470 * [taylor]: Taking taylor expansion of 3 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.471 * [taylor]: Taking taylor expansion of 3 in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of 3 in x 0.473 * [taylor]: Taking taylor expansion of 0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 0 in x 0.484 * [taylor]: Taking taylor expansion of 0 in x 0.485 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of 3 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of 3 in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of 3 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 3 in x 0.490 * [taylor]: Taking taylor expansion of 0 in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of 0 in x 0.497 * [taylor]: Taking taylor expansion of 0 in x 0.499 * * * [progress]: simplifying candidates 0.499 * [simplify]: Simplifying using # : (expm1 (* 3 (* y y))) (log1p (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (expm1 (+ (* 3 (* y y)) (* x x))) (log1p (+ (* 3 (* y y)) (* x x))) (* (exp (* 3 (* y y))) (exp (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (* (* (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x))) (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow (* 3 (* y y)) 3) (pow (* x x) 3)) (+ (* (* 3 (* y y)) (* 3 (* y y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* x x)))) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.503 * * [simplify]: iteration 0 : 173 enodes (cost 174 ) 0.507 * * [simplify]: iteration 1 : 696 enodes (cost 156 ) 0.519 * * [simplify]: iteration 2 : 2692 enodes (cost 148 ) 0.576 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.577 * [simplify]: Simplified to: (expm1 (* 3 (* y y))) (log1p (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (expm1 (+ (* 3 (* y y)) (* x x))) (log1p (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (fma 27 (pow (pow y 2) 3) (pow x 6)) (fma (pow y 4) 9 (* (pow x 2) (- (pow x 2) (* 3 (* y y))))) (fma (pow y 4) 9 (* (- (pow x 3)) x)) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.577 * * * [progress]: adding candidates to table 0.632 * * [progress]: iteration 3 / 4 0.632 * * * [progress]: picking best candidate 0.637 * * * * [pick]: Picked # 0.637 * * * [progress]: localizing error 0.643 * * * [progress]: generating rewritten candidates 0.643 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.648 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.653 * * * [progress]: generating series expansions 0.653 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.653 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.653 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of 3 in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of 3 in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.662 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.662 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of 3 in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of 3 in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.670 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.670 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.670 * [taylor]: Taking taylor expansion of 3 in y 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of 3 in y 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.679 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.679 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.679 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.679 * [taylor]: Taking taylor expansion of 3 in x 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of 3 in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of 3 in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of 0 in x 0.681 * [taylor]: Taking taylor expansion of 3 in x 0.683 * [taylor]: Taking taylor expansion of 0 in x 0.685 * [taylor]: Taking taylor expansion of 0 in x 0.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of 3 in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.686 * [taylor]: Taking taylor expansion of 3 in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.687 * [taylor]: Taking taylor expansion of x in y 0.687 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.687 * [taylor]: Taking taylor expansion of 3 in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of 3 in x 0.692 * [taylor]: Taking taylor expansion of 0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of 0 in x 0.700 * [taylor]: Taking taylor expansion of 0 in x 0.701 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.702 * [taylor]: Taking taylor expansion of 3 in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.702 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.702 * [taylor]: Taking taylor expansion of 3 in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.703 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.703 * [taylor]: Taking taylor expansion of x in y 0.703 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.703 * [taylor]: Taking taylor expansion of 3 in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of 3 in x 0.706 * [taylor]: Taking taylor expansion of 0 in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of 0 in x 0.713 * [taylor]: Taking taylor expansion of 0 in x 0.715 * * * [progress]: simplifying candidates 0.715 * [simplify]: Simplifying using # : (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (expm1 (+ (* (* 3 y) y) (* x x))) (log1p (+ (* (* 3 y) y) (* x x))) (* (exp (* (* 3 y) y)) (exp (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (* (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))) (- (* (* 3 y) y) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.719 * * [simplify]: iteration 0 : 182 enodes (cost 172 ) 0.724 * * [simplify]: iteration 1 : 899 enodes (cost 155 ) 0.744 * * [simplify]: iteration 2 : 4389 enodes (cost 147 ) 0.836 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 0.837 * [simplify]: Simplified to: (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) (expm1 (+ (* (* 3 y) y) (* x x))) (log1p (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (fma (* 3 y) y (* x x)) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (fma 27 (pow (pow y 2) 3) (pow x 6)) (fma 9 (pow y 4) (* (pow x 2) (- (pow x 2) (* (* 3 y) y)))) (fma 9 (pow y 4) (* (- (pow x 3)) x)) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) 0.838 * * * [progress]: adding candidates to table 0.888 * * [progress]: iteration 4 / 4 0.888 * * * [progress]: picking best candidate 0.896 * * * * [pick]: Picked # 0.896 * * * [progress]: localizing error 0.901 * * * [progress]: generating rewritten candidates 0.901 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.902 * * * [progress]: generating series expansions 0.902 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.902 * [approximate]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in (y x) around 0 0.902 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in x 0.902 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.902 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in x 0.902 * [taylor]: Taking taylor expansion of (* 3 y) in x 0.902 * [taylor]: Taking taylor expansion of 3 in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in y 0.902 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.902 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in y 0.902 * [taylor]: Taking taylor expansion of (* 3 y) in y 0.902 * [taylor]: Taking taylor expansion of 3 in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.902 * [taylor]: Taking taylor expansion of x in y 0.902 * [taylor]: Taking taylor expansion of (fma (* 3 y) y (pow x 2)) in y 0.902 * [taylor]: Rewrote expression to (+ (* (* 3 y) y) (pow x 2)) 0.902 * [taylor]: Taking taylor expansion of (* (* 3 y) y) in y 0.903 * [taylor]: Taking taylor expansion of (* 3 y) in y 0.903 * [taylor]: Taking taylor expansion of 3 in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of 0 in x 0.906 * [taylor]: Taking taylor expansion of 3 in x 0.908 * [taylor]: Taking taylor expansion of 0 in x 0.911 * [taylor]: Taking taylor expansion of 0 in x 0.911 * [approximate]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in (y x) around 0 0.912 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in x 0.912 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 0.912 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 3 y) in x 0.912 * [taylor]: Taking taylor expansion of 3 in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in y 0.912 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 0.912 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in y 0.912 * [taylor]: Taking taylor expansion of (/ 3 y) in y 0.912 * [taylor]: Taking taylor expansion of 3 in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of (fma (/ 3 y) (/ 1 y) (/ 1 (pow x 2))) in y 0.913 * [taylor]: Rewrote expression to (+ (* (/ 3 y) (/ 1 y)) (/ 1 (pow x 2))) 0.913 * [taylor]: Taking taylor expansion of (* (/ 3 y) (/ 1 y)) in y 0.913 * [taylor]: Taking taylor expansion of (/ 3 y) in y 0.913 * [taylor]: Taking taylor expansion of 3 in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of 3 in x 0.916 * [taylor]: Taking taylor expansion of 0 in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of 0 in x 0.924 * [taylor]: Taking taylor expansion of 0 in x 0.925 * [approximate]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in (y x) around 0 0.925 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in x 0.926 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 0.926 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in x 0.926 * [taylor]: Taking taylor expansion of (/ -3 y) in x 0.926 * [taylor]: Taking taylor expansion of -3 in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.926 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in y 0.926 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 0.926 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in y 0.926 * [taylor]: Taking taylor expansion of (/ -3 y) in y 0.926 * [taylor]: Taking taylor expansion of -3 in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.927 * [taylor]: Taking taylor expansion of -1 in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [taylor]: Taking taylor expansion of (fma (/ -3 y) (/ -1 y) (/ 1 (pow x 2))) in y 0.927 * [taylor]: Rewrote expression to (+ (* (/ -3 y) (/ -1 y)) (/ 1 (pow x 2))) 0.927 * [taylor]: Taking taylor expansion of (* (/ -3 y) (/ -1 y)) in y 0.927 * [taylor]: Taking taylor expansion of (/ -3 y) in y 0.927 * [taylor]: Taking taylor expansion of -3 in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.928 * [taylor]: Taking taylor expansion of -1 in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of 3 in x 0.930 * [taylor]: Taking taylor expansion of 0 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of 0 in x 0.939 * [taylor]: Taking taylor expansion of 0 in x 0.940 * * * [progress]: simplifying candidates 0.940 * [simplify]: Simplifying using # : (expm1 (fma (* 3 y) y (* x x))) (log1p (fma (* 3 y) y (* x x))) (* (* 3 y) y) (log (fma (* 3 y) y (* x x))) (exp (fma (* 3 y) y (* x x))) (* (cbrt (fma (* 3 y) y (* x x))) (cbrt (fma (* 3 y) y (* x x)))) (cbrt (fma (* 3 y) y (* x x))) (* (* (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x))) (fma (* 3 y) y (* x x))) (sqrt (fma (* 3 y) y (* x x))) (sqrt (fma (* 3 y) y (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.943 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.944 * * [simplify]: iteration 1 : 82 enodes (cost 52 ) 0.947 * * [simplify]: iteration 2 : 266 enodes (cost 52 ) 0.952 * * [simplify]: iteration 3 : 1088 enodes (cost 52 ) 0.990 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.990 * [simplify]: Simplified to: (expm1 (fma (* 3 y) y (* x x))) (log1p (fma (* 3 y) y (* x x))) (* (* 3 y) y) (log (fma (* 3 y) y (* x x))) (exp (fma (* 3 y) y (* x x))) (* (cbrt (fma (* 3 y) y (* x x))) (cbrt (fma (* 3 y) y (* x x)))) (cbrt (fma (* 3 y) y (* x x))) (pow (fma (* 3 y) y (* x x)) 3) (sqrt (fma (* 3 y) y (* x x))) (sqrt (fma (* 3 y) y (* x x))) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) 0.991 * * * [progress]: adding candidates to table 1.011 * [progress]: [Phase 3 of 3] Extracting. 1.011 * * [regime]: Finding splitpoints for: (# # # # # #) 1.012 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.012 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.028 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.047 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.066 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.086 * * * [regime]: Found split indices: #