14.006 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.018 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.022 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.023 * [simplify]: Simplified to: (hypot x y) 0.277 * * [progress]: iteration 1 / 4 0.277 * * * [progress]: picking best candidate 0.279 * * * * [pick]: Picked # 0.279 * * * [progress]: localizing error 0.282 * * * [progress]: generating rewritten candidates 0.282 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.283 * * * [progress]: generating series expansions 0.283 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.283 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.283 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.283 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.283 * [taylor]: Taking taylor expansion of (* x x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (* y y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.286 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.286 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.286 * [taylor]: Taking taylor expansion of (* x x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* y y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.289 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.289 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.289 * [taylor]: Taking taylor expansion of (* x x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* y y) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.292 * [taylor]: Taking taylor expansion of 1/2 in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.296 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.296 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.299 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.299 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.303 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of 1/2 in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.314 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.314 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.314 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.314 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.314 * [taylor]: Taking taylor expansion of -1 in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.314 * [taylor]: Taking taylor expansion of -1 in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.314 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.314 * [taylor]: Taking taylor expansion of -1 in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.315 * [taylor]: Taking taylor expansion of -1 in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.318 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.318 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.319 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.319 * [taylor]: Taking taylor expansion of -1 in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.319 * [taylor]: Taking taylor expansion of -1 in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.322 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.322 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.322 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.323 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.323 * [taylor]: Taking taylor expansion of -1 in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.323 * [taylor]: Taking taylor expansion of -1 in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of 1 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of 1/2 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying using # : (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.338 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.341 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.344 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.347 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.350 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.352 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.358 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.378 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.454 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.455 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.455 * * * [progress]: adding candidates to table 0.484 * [progress]: [Phase 3 of 3] Extracting. 0.486 * [simplify]: Simplifying using # : (hypot x y) 0.486 * * [simplify]: iteration 0 : 3 enodes (cost 1 ) 0.487 * [simplify]: Simplified to: (hypot x y) 0.877 * [regime-testing]: End program error score: 0.004750593824228029 0.912 * [regime-testing]: Target error score: 17.516376856748323