0.725 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.326 * * * [progress]: [2/2] Setting up program. 0.329 * [progress]: [Phase 2 of 3] Improving. 0.331 * [simplify]: Simplifying: (* 0.5 (- (* x x) y)) 0.332 * [simplify]: Sending expressions to egg_math: (* h0 (- (* h1 h1) h2)) 0.335 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.336 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.338 * * [simplify]: iteration 2 : 29 enodes (cost 3 ) 0.340 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.341 * * [simplify]: iteration 4 : 44 enodes (cost 3 ) 0.343 * * [simplify]: iteration 5 : 44 enodes (cost 3 ) 0.344 * * [progress]: iteration 1 / 4 0.344 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.353 * * * [progress]: generating rewritten candidates 0.354 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.396 * * * [progress]: generating series expansions 0.396 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.401 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.401 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [backup-simplify]: Simplify x into x 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [backup-simplify]: Simplify y into y 0.403 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (- y) into (- y) 0.403 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.403 * [taylor]: Taking taylor expansion of (- y) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- 1) into -1 0.405 * [backup-simplify]: Simplify -1 into -1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.408 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.408 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [backup-simplify]: Simplify x into x 0.409 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [backup-simplify]: Simplify y into y 0.410 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [backup-simplify]: Simplify y into y 0.410 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.413 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.413 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (- 1) into -1 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.418 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.419 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [backup-simplify]: Simplify x into x 0.419 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.419 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [backup-simplify]: Simplify y into y 0.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [backup-simplify]: Simplify y into y 0.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [taylor]: Taking taylor expansion of 1 in y 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.427 * * * [progress]: simplifying candidates 0.427 * [simplify]: Simplifying: (fma x x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma x x (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma x x (- (* y 1))) (fma (- y) 1 (* y 1)) (expm1 (- (* x x) y)) (log1p (- (* x x) y)) (- y) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.428 * [simplify]: Sending expressions to egg_math: (fma h0 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma h0 h0 (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma h0 h0 (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (expm1 (- (* h0 h0) h1)) (log1p (- (* h0 h0) h1)) (- h1) (/ (exp (* h0 h0)) (exp h1)) (log (- (* h0 h0) h1)) (exp (- (* h0 h0) h1)) (* (cbrt (- (* h0 h0) h1)) (cbrt (- (* h0 h0) h1))) (cbrt (- (* h0 h0) h1)) (* (* (- (* h0 h0) h1) (- (* h0 h0) h1)) (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1)) (- (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* h1 h1) (* (* h0 h0) h1))) (- h1) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (+ (* h0 h0) h1) (+ h0 (sqrt h1)) (- h0 (sqrt h1)) (- h1) (- (pow h0 2) h1) (- (pow h0 2) h1) (- (pow h0 2) h1) 0.430 * * [simplify]: iteration 0 : 115 enodes (cost 95 ) 0.433 * * [simplify]: iteration 1 : 414 enodes (cost 73 ) 0.442 * * [simplify]: iteration 2 : 2048 enodes (cost 67 ) 0.489 * * [simplify]: iteration 3 : 5001 enodes (cost 64 ) 0.490 * * * [progress]: adding candidates to table 0.529 * * [progress]: iteration 2 / 4 0.529 * * * [progress]: picking best candidate 0.530 * * * * [pick]: Picked # 0.530 * * * [progress]: localizing error 0.536 * * * [progress]: generating rewritten candidates 0.536 * * * [progress]: generating series expansions 0.536 * * * [progress]: simplifying candidates 0.536 * [simplify]: Simplifying: 0.536 * [simplify]: Sending expressions to egg_math: 0.538 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.538 * * * [progress]: adding candidates to table 0.538 * [progress]: [Phase 3 of 3] Extracting. 0.540 * [simplify]: Simplifying: (* 0.5 (fma x x (- y))) 0.540 * [simplify]: Sending expressions to egg_math: (* h0 (fma h1 h1 (- h2))) 0.541 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.541 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 1.027 * [regime-testing]: End program error score: 0.032379047380922614