0.698 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.313 * * * [progress]: [2/2] Setting up program. 0.316 * [progress]: [Phase 2 of 3] Improving. 0.319 * [simplify]: Simplifying: (* 0.5 (- (* x x) y)) 0.319 * [simplify]: Sending expressions to egg_math: (* h2 (- (* h1 h1) h0)) 0.322 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.324 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.325 * * [simplify]: iteration 2 : 29 enodes (cost 3 ) 0.327 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.329 * * [simplify]: iteration 4 : 44 enodes (cost 3 ) 0.330 * * [simplify]: iteration 5 : 44 enodes (cost 3 ) 0.332 * * [progress]: iteration 1 / 4 0.332 * * * [progress]: picking best candidate 0.333 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.376 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.382 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.382 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.383 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [backup-simplify]: Simplify x into x 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [backup-simplify]: Simplify y into y 0.385 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [backup-simplify]: Simplify y into y 0.386 * [backup-simplify]: Simplify (- y) into (- y) 0.386 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.386 * [taylor]: Taking taylor expansion of (- y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (- 1) into -1 0.388 * [backup-simplify]: Simplify -1 into -1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [taylor]: Taking taylor expansion of 1 in y 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.391 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.391 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [backup-simplify]: Simplify x into x 0.391 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [backup-simplify]: Simplify y into y 0.392 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [backup-simplify]: Simplify y into y 0.393 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [taylor]: Taking taylor expansion of 1 in y 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.396 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [backup-simplify]: Simplify (- 1) into -1 0.397 * [backup-simplify]: Simplify -1 into -1 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.401 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.401 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.402 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.404 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [taylor]: Taking taylor expansion of 1 in y 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1 into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) 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 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.410 * * * [progress]: simplifying candidates 0.410 * [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) 0.411 * [simplify]: Sending expressions to egg_math: (fma h1 h1 (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma h1 h1 (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma h1 h1 (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* h1 h1) h0)) (log1p (- (* h1 h1) h0)) (- h0) (/ (exp (* h1 h1)) (exp h0)) (log (- (* h1 h1) h0)) (exp (- (* h1 h1) h0)) (* (cbrt (- (* h1 h1) h0)) (cbrt (- (* h1 h1) h0))) (cbrt (- (* h1 h1) h0)) (* (* (- (* h1 h1) h0) (- (* h1 h1) h0)) (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0)) (- (pow (* h1 h1) 3) (pow h0 3)) (+ (* (* h1 h1) (* h1 h1)) (+ (* h0 h0) (* (* h1 h1) h0))) (- h0) (- (* (* h1 h1) (* h1 h1)) (* h0 h0)) (+ (* h1 h1) h0) (+ h1 (sqrt h0)) (- h1 (sqrt h0)) (- h0) (- (pow h1 2) h0) (- (pow h1 2) h0) (- (pow h1 2) h0) 0.413 * * [simplify]: iteration 0 : 115 enodes (cost 95 ) 0.416 * * [simplify]: iteration 1 : 414 enodes (cost 73 ) 0.425 * * [simplify]: iteration 2 : 2048 enodes (cost 67 ) 0.474 * * [simplify]: iteration 3 : 5001 enodes (cost 64 ) 0.476 * * * [progress]: adding candidates to table 0.510 * * [progress]: iteration 2 / 4 0.510 * * * [progress]: picking best candidate 0.515 * * * * [pick]: Picked # 0.516 * * * [progress]: localizing error 0.521 * * * [progress]: generating rewritten candidates 0.521 * * * [progress]: generating series expansions 0.521 * * * [progress]: simplifying candidates 0.521 * [simplify]: Simplifying: 0.521 * [simplify]: Sending expressions to egg_math: 0.523 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.523 * * * [progress]: adding candidates to table 0.523 * [progress]: [Phase 3 of 3] Extracting. 0.525 * [simplify]: Simplifying: (* 0.5 (fma x x (- y))) 0.525 * [simplify]: Sending expressions to egg_math: (* h2 (fma h1 h1 (- h0))) 0.526 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.526 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 1.006 * [regime-testing]: End program error score: 0.016252031503937992