23.968 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [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 ) 0.075 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.308 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.310 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.312 * * [progress]: iteration 1 / 4 0.312 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.319 * * * [progress]: generating rewritten candidates 0.319 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.320 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.320 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.320 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of 3 in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.320 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of 3 in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.321 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.322 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.327 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.327 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.327 * [taylor]: Taking taylor expansion of 3 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.328 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.328 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.328 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.328 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of 3 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 0 in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.339 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.339 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.339 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.340 * [taylor]: Taking taylor expansion of 3 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.340 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.340 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.344 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of 3 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of 3 in x 0.346 * [taylor]: Taking taylor expansion of 0 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.355 * * * [progress]: simplifying candidates 0.355 * [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))) 0.358 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.359 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.361 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.367 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.405 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.405 * [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)) 0.406 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 2 / 4 0.427 * * * [progress]: picking best candidate 0.431 * * * * [pick]: Picked # 0.431 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.443 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.449 * * * [progress]: generating series expansions 0.449 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.449 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.449 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.449 * [taylor]: Taking taylor expansion of 3 in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of 3 in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.459 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.460 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of 3 in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of 3 in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.467 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.467 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.467 * [taylor]: Taking taylor expansion of 3 in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of 3 in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.475 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.475 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 0.475 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of 3 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 (+ (pow x 2) (* 3 (pow y 2))) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.475 * [taylor]: Taking taylor expansion of 3 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 (+ (pow x 2) (* 3 (pow y 2))) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.475 * [taylor]: Taking taylor expansion of 3 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 (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 0 in x 0.477 * [taylor]: Taking taylor expansion of 3 in x 0.478 * [taylor]: Taking taylor expansion of 0 in x 0.481 * [taylor]: Taking taylor expansion of 0 in x 0.481 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.482 * [taylor]: Taking taylor expansion of 3 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.482 * [taylor]: Taking taylor expansion of 3 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of 3 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 0.484 * [taylor]: Taking taylor expansion of 3 in x 0.485 * [taylor]: Taking taylor expansion of 0 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [taylor]: Taking taylor expansion of 0 in x 0.493 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of 3 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of 3 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of 3 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 3 in x 0.497 * [taylor]: Taking taylor expansion of 0 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of 0 in x 0.505 * [taylor]: Taking taylor expansion of 0 in x 0.506 * * * [progress]: simplifying candidates 0.506 * [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))) 0.510 * * [simplify]: iteration 0 : 173 enodes (cost 174 ) 0.514 * * [simplify]: iteration 1 : 696 enodes (cost 156 ) 0.527 * * [simplify]: iteration 2 : 2692 enodes (cost 148 ) 0.584 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.585 * [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)) 0.585 * * * [progress]: adding candidates to table 0.646 * * [progress]: iteration 3 / 4 0.646 * * * [progress]: picking best candidate 0.652 * * * * [pick]: Picked # 0.652 * * * [progress]: localizing error 0.657 * * * [progress]: generating rewritten candidates 0.657 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.663 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.670 * * * [progress]: generating series expansions 0.670 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 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 0.670 * [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 0.678 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.678 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of 3 in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.678 * [taylor]: Taking taylor expansion of y 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 0.686 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.686 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of 3 in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of 3 in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.693 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.693 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of 3 in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of 3 in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of 3 in y 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 0 in x 0.695 * [taylor]: Taking taylor expansion of 3 in x 0.697 * [taylor]: Taking taylor expansion of 0 in x 0.699 * [taylor]: Taking taylor expansion of 0 in x 0.699 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.700 * [taylor]: Taking taylor expansion of 3 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.700 * [taylor]: Taking taylor expansion of 3 in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.701 * [taylor]: Taking taylor expansion of x in y 0.701 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.701 * [taylor]: Taking taylor expansion of 3 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of 3 in x 0.703 * [taylor]: Taking taylor expansion of 0 in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 0 in x 0.710 * [taylor]: Taking taylor expansion of 0 in x 0.712 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.715 * [taylor]: Taking taylor expansion of 3 in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.715 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.715 * [taylor]: Taking taylor expansion of 3 in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.716 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.716 * [taylor]: Taking taylor expansion of 3 in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of 3 in x 0.718 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 0 in x 0.725 * [taylor]: Taking taylor expansion of 0 in x 0.727 * * * [progress]: simplifying candidates 0.727 * [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))) 0.731 * * [simplify]: iteration 0 : 182 enodes (cost 172 ) 0.735 * * [simplify]: iteration 1 : 899 enodes (cost 155 ) 0.755 * * [simplify]: iteration 2 : 4389 enodes (cost 147 ) 0.848 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 0.849 * [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)) 0.850 * * * [progress]: adding candidates to table 0.906 * * [progress]: iteration 4 / 4 0.906 * * * [progress]: picking best candidate 0.912 * * * * [pick]: Picked # 0.913 * * * [progress]: localizing error 0.920 * * * [progress]: generating rewritten candidates 0.920 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.921 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.921 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.928 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.930 * * * [progress]: generating series expansions 0.930 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.930 * [approximate]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in (y x) around 0 0.930 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in x 0.930 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.931 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.931 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.931 * [taylor]: Taking taylor expansion of 3 in x 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in y 0.932 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.932 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.932 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.932 * [taylor]: Taking taylor expansion of 3 in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in y 0.933 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.933 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.933 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of 3 in y 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of 0 in x 0.935 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 0.935 * [taylor]: Taking taylor expansion of 3/2 in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of 0 in x 0.938 * [approximate]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 0.938 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.938 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.938 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.938 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.938 * [taylor]: Taking taylor expansion of 3 in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.940 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.940 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.941 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.941 * [taylor]: Taking taylor expansion of 3 in y 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.941 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.946 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.947 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.947 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.947 * [taylor]: Taking taylor expansion of 3 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.950 * [taylor]: Taking taylor expansion of 3 in x 0.951 * [taylor]: Taking taylor expansion of 0 in x 0.953 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.953 * [taylor]: Taking taylor expansion of 1/2 in x 0.953 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.954 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.954 * [taylor]: Taking taylor expansion of 3 in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of 0 in x 0.963 * [approximate]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 0.963 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.963 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.963 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.963 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.963 * [taylor]: Taking taylor expansion of 3 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.966 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.966 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.966 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of 3 in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.969 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.969 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.969 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.969 * [taylor]: Taking taylor expansion of 3 in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.972 * [taylor]: Taking taylor expansion of 3 in x 0.973 * [taylor]: Taking taylor expansion of 0 in x 0.976 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.976 * [taylor]: Taking taylor expansion of 1/2 in x 0.976 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.976 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.976 * [taylor]: Taking taylor expansion of 3 in x 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of 0 in x 0.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.985 * [approximate]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in (y x) around 0 0.985 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in x 0.985 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.985 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.985 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.985 * [taylor]: Taking taylor expansion of 3 in x 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in y 0.986 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.986 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.986 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.986 * [taylor]: Taking taylor expansion of 3 in y 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (pow y 2) (pow x 2))) in y 0.987 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.987 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.987 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of 3 in y 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 0 in x 0.989 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 0.989 * [taylor]: Taking taylor expansion of 3/2 in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of 0 in x 0.992 * [approximate]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 0.992 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.992 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.992 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.992 * [taylor]: Taking taylor expansion of 3 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.995 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.995 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.995 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.995 * [taylor]: Taking taylor expansion of 3 in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.995 * [taylor]: Taking taylor expansion of x in y 0.998 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.998 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.998 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.998 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.998 * [taylor]: Taking taylor expansion of 3 in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.999 * [taylor]: Taking taylor expansion of x in y 1.001 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.001 * [taylor]: Taking taylor expansion of 3 in x 1.002 * [taylor]: Taking taylor expansion of 0 in x 1.005 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 1.005 * [taylor]: Taking taylor expansion of 1/2 in x 1.005 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 1.005 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.005 * [taylor]: Taking taylor expansion of 3 in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of 0 in x 1.014 * [approximate]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.014 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.015 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.015 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.015 * [taylor]: Taking taylor expansion of 3 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.017 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.017 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.017 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.017 * [taylor]: Taking taylor expansion of 3 in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of (sqrt (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.020 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.020 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.020 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.020 * [taylor]: Taking taylor expansion of 3 in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.021 * [taylor]: Taking taylor expansion of x in y 1.026 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.026 * [taylor]: Taking taylor expansion of 3 in x 1.027 * [taylor]: Taking taylor expansion of 0 in x 1.030 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 1.030 * [taylor]: Taking taylor expansion of 1/2 in x 1.030 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 1.030 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.030 * [taylor]: Taking taylor expansion of 3 in x 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of 0 in x 1.039 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.039 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 1.039 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 1.039 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 1.040 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.040 * [taylor]: Taking taylor expansion of 3 in x 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 1.040 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 1.040 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.040 * [taylor]: Taking taylor expansion of 3 in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.040 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 1.040 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 1.040 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.040 * [taylor]: Taking taylor expansion of 3 in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.041 * [taylor]: Taking taylor expansion of 3 in x 1.043 * [taylor]: Taking taylor expansion of 0 in x 1.045 * [taylor]: Taking taylor expansion of 0 in x 1.046 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.046 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.046 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.046 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.046 * [taylor]: Taking taylor expansion of 3 in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.047 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.047 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.047 * [taylor]: Taking taylor expansion of 3 in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.047 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.048 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.048 * [taylor]: Taking taylor expansion of 3 in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of 3 in x 1.050 * [taylor]: Taking taylor expansion of 0 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of 0 in x 1.057 * [taylor]: Taking taylor expansion of 0 in x 1.059 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.059 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.059 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.059 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.059 * [taylor]: Taking taylor expansion of 3 in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.059 * [taylor]: Taking taylor expansion of y in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.060 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.060 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.060 * [taylor]: Taking taylor expansion of 3 in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.060 * [taylor]: Taking taylor expansion of y in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.060 * [taylor]: Taking taylor expansion of x in y 1.060 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.061 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.061 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.061 * [taylor]: Taking taylor expansion of 3 in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.062 * [taylor]: Taking taylor expansion of 3 in x 1.063 * [taylor]: Taking taylor expansion of 0 in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of 0 in x 1.070 * [taylor]: Taking taylor expansion of 0 in x 1.071 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.072 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 1.072 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 1.072 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 1.072 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.072 * [taylor]: Taking taylor expansion of 3 in x 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 1.072 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 1.072 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of 3 in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 1.072 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 1.072 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of 3 in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of 0 in x 1.074 * [taylor]: Taking taylor expansion of 3 in x 1.075 * [taylor]: Taking taylor expansion of 0 in x 1.078 * [taylor]: Taking taylor expansion of 0 in x 1.078 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.078 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.078 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.078 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.078 * [taylor]: Taking taylor expansion of 3 in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.079 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.079 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.079 * [taylor]: Taking taylor expansion of 3 in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.079 * [taylor]: Taking taylor expansion of x in y 1.080 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.080 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.080 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.080 * [taylor]: Taking taylor expansion of 3 in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.080 * [taylor]: Taking taylor expansion of x in y 1.081 * [taylor]: Taking taylor expansion of 3 in x 1.082 * [taylor]: Taking taylor expansion of 0 in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of 0 in x 1.089 * [taylor]: Taking taylor expansion of 0 in x 1.091 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.091 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.091 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.091 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.091 * [taylor]: Taking taylor expansion of 3 in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.092 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.092 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.092 * [taylor]: Taking taylor expansion of 3 in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.092 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.092 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.092 * [taylor]: Taking taylor expansion of 3 in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.094 * [taylor]: Taking taylor expansion of 3 in x 1.095 * [taylor]: Taking taylor expansion of 0 in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of 0 in x 1.102 * [taylor]: Taking taylor expansion of 0 in x 1.106 * * * [progress]: simplifying candidates 1.107 * [simplify]: Simplifying using # : (expm1 (sqrt (fma 3 (* y y) (* x x)))) (log1p (sqrt (fma 3 (* y y) (* x x)))) (log (sqrt (fma 3 (* y y) (* x x)))) (exp (sqrt (fma 3 (* y y) (* x x)))) (* (cbrt (sqrt (fma 3 (* y y) (* x x)))) (cbrt (sqrt (fma 3 (* y y) (* x x))))) (cbrt (sqrt (fma 3 (* y y) (* x x)))) (* (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (sqrt (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x))))) (sqrt (cbrt (fma 3 (* y y) (* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt 1) (sqrt (fma 3 (* y y) (* x x))) (/ 1 2) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (expm1 (sqrt (fma 3 (* y y) (* x x)))) (log1p (sqrt (fma 3 (* y y) (* x x)))) (log (sqrt (fma 3 (* y y) (* x x)))) (exp (sqrt (fma 3 (* y y) (* x x)))) (* (cbrt (sqrt (fma 3 (* y y) (* x x)))) (cbrt (sqrt (fma 3 (* y y) (* x x))))) (cbrt (sqrt (fma 3 (* y y) (* x x)))) (* (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (sqrt (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x))))) (sqrt (cbrt (fma 3 (* y y) (* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt 1) (sqrt (fma 3 (* y y) (* x x))) (/ 1 2) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (expm1 (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (log1p (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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)))) (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (+ 1 1) (+ (log (sqrt (fma 3 (* y y) (* x x)))) (log (sqrt (fma 3 (* y y) (* x x))))) (log (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (exp (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (* (* (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (* (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x))))) (* (cbrt (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (cbrt (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))))) (cbrt (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (* (* (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))) (* (fma 3 (* y y) (* x x)) 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x))))) (* (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (fma 3 (* y y) (* x x))) (* (cbrt (sqrt (fma 3 (* y y) (* x x)))) (cbrt (sqrt (fma 3 (* y y) (* x x)))))) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))))) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (sqrt (fma 3 (* y y) (* x x))))) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt 1)) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (sqrt (fma 3 (* y y) (* x x))))) (* (sqrt (fma 3 (* y y) (* x x))) 1) (* (cbrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (* (sqrt (cbrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (* (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))) (* (sqrt (sqrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x)))) (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))) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (+ (pow x 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))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.113 * * [simplify]: iteration 0 : 127 enodes (cost 542 ) 1.116 * * [simplify]: iteration 1 : 462 enodes (cost 484 ) 1.128 * * [simplify]: iteration 2 : 2877 enodes (cost 464 ) 1.230 * * [simplify]: iteration 3 : 5002 enodes (cost 449 ) 1.232 * [simplify]: Simplified to: (expm1 (sqrt (fma 3 (* y y) (* x x)))) (log1p (sqrt (fma 3 (* y y) (* x x)))) (log (sqrt (fma 3 (* 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(* x x)))) (sqrt (sqrt (fma 3 (* y y) (* x x)))) (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) 1 1 2 1 1 (pow (sqrt (fma 3 (* y y) (* x x))) 4) (fma 3 (* y y) (* x x)) (pow (sqrt (fma 3 (* y y) (* x x))) 4) 2 (log (fma 3 (* y y) (* x x))) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (pow (sqrt (cbrt (fma 3 (* y y) (* x x)))) 4) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (pow (sqrt (fma 3 (* y y) (* x x))) 4) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (pow (cbrt (sqrt (fma 3 (* y y) (* x x)))) 4) (* (cbrt (sqrt (fma 3 (* y y) (* x x)))) (cbrt (sqrt (fma 3 (* y y) (* x x))))) (pow (sqrt (cbrt (fma 3 (* y y) (* x x)))) 4) (cbrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) 1 (fma 3 (* y y) (* x x)) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) 1 (fma 3 (* y y) (* x x)) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) 1 2 1 (pow (cbrt (sqrt (fma 3 (* y y) (* x x)))) 5) (* (fabs (cbrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (pow (sqrt (sqrt (fma 3 (* y y) (* x x)))) 3) (sqrt (fma 3 (* y y) (* x x))) (pow (sqrt (sqrt (fma 3 (* y y) (* x x)))) 3) (sqrt (fma 3 (* y y) (* x x))) (pow (cbrt (sqrt (fma 3 (* y y) (* x x)))) 4) (* (sqrt (cbrt (fma 3 (* y y) (* x x)))) (sqrt (fma 3 (* y y) (* x x)))) (pow (sqrt (sqrt (fma 3 (* y y) (* x x)))) 3) (fma 3 (* y y) (* x x)) (pow (sqrt (sqrt (fma 3 (* y y) (* x x)))) 3) (fma 3 (* y y) (* x x)) (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))) (pow (sqrt (cbrt (fma 3 (* y y) (* x x)))) 4) (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))) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 1.233 * * * [progress]: adding candidates to table 1.400 * [progress]: [Phase 3 of 3] Extracting. 1.400 * * [regime]: Finding splitpoints for: (# # # # # #) 1.401 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.401 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.420 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.437 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.456 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.476 * * * [regime]: Found split indices: #