0.775 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.325 * * * [progress]: [2/2] Setting up program. 0.328 * [progress]: [Phase 2 of 3] Improving. 0.331 * [simplify]: Simplifying: (* (+ x y) z) 0.331 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) h2) 0.334 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.336 * * [simplify]: iteration 1 : 15 enodes (cost 2 ) 0.337 * * [simplify]: iteration 2 : 19 enodes (cost 2 ) 0.338 * * [simplify]: iteration 3 : 21 enodes (cost 2 ) 0.340 * * [simplify]: iteration 4 : 21 enodes (cost 2 ) 0.341 * * [progress]: iteration 1 / 4 0.341 * * * [progress]: picking best candidate 0.343 * * * * [pick]: Picked # 0.343 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.399 * * * [progress]: generating series expansions 0.400 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.405 * [backup-simplify]: Simplify (* (+ x y) z) into (* z (+ x y)) 0.405 * [approximate]: Taking taylor expansion of (* z (+ x y)) in (x y z) around 0 0.406 * [taylor]: Taking taylor expansion of (* z (+ x y)) in z 0.406 * [taylor]: Taking taylor expansion of z in z 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of (+ x y) in z 0.406 * [taylor]: Taking taylor expansion of x in z 0.406 * [backup-simplify]: Simplify x into x 0.406 * [taylor]: Taking taylor expansion of y in z 0.406 * [backup-simplify]: Simplify y into y 0.406 * [taylor]: Taking taylor expansion of (* z (+ x y)) in y 0.406 * [taylor]: Taking taylor expansion of z in y 0.406 * [backup-simplify]: Simplify z into z 0.406 * [taylor]: Taking taylor expansion of (+ x y) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (* z (+ x y)) in x 0.406 * [taylor]: Taking taylor expansion of z in x 0.406 * [backup-simplify]: Simplify z into z 0.406 * [taylor]: Taking taylor expansion of (+ x y) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [backup-simplify]: Simplify y into y 0.406 * [taylor]: Taking taylor expansion of (* z (+ x y)) in x 0.406 * [taylor]: Taking taylor expansion of z in x 0.406 * [backup-simplify]: Simplify z into z 0.406 * [taylor]: Taking taylor expansion of (+ x y) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [backup-simplify]: Simplify y into y 0.407 * [backup-simplify]: Simplify (+ 0 y) into y 0.407 * [backup-simplify]: Simplify (* z y) into (* z y) 0.407 * [taylor]: Taking taylor expansion of (* z y) in y 0.407 * [taylor]: Taking taylor expansion of z in y 0.407 * [backup-simplify]: Simplify z into z 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* z 0) into 0 0.407 * [taylor]: Taking taylor expansion of 0 in z 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ 1 0) into 1 0.408 * [backup-simplify]: Simplify (+ (* z 1) (* 0 y)) into z 0.408 * [taylor]: Taking taylor expansion of z in y 0.408 * [backup-simplify]: Simplify z into z 0.408 * [taylor]: Taking taylor expansion of z in z 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.409 * [taylor]: Taking taylor expansion of z in z 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 y))) into 0 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in z 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in z 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 z)) into (/ (+ (/ 1 y) (/ 1 x)) z) 0.410 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in (x y z) around 0 0.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in z 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.410 * [taylor]: Taking taylor expansion of y in z 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 x) in z 0.410 * [taylor]: Taking taylor expansion of x in z 0.410 * [backup-simplify]: Simplify x into x 0.410 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.410 * [taylor]: Taking taylor expansion of z in z 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (+ (/ 1 y) (/ 1 x)) into (+ (/ 1 y) (/ 1 x)) 0.411 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) 1) into (+ (/ 1 y) (/ 1 x)) 0.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [backup-simplify]: Simplify x into x 0.411 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.411 * [taylor]: Taking taylor expansion of z in y 0.411 * [backup-simplify]: Simplify z into z 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [backup-simplify]: Simplify y into y 0.412 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of z in x 0.412 * [backup-simplify]: Simplify z into z 0.413 * [backup-simplify]: Simplify (+ 0 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [backup-simplify]: Simplify y into y 0.413 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of z in x 0.413 * [backup-simplify]: Simplify z into z 0.413 * [backup-simplify]: Simplify (+ 0 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.414 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.414 * [taylor]: Taking taylor expansion of z in y 0.414 * [backup-simplify]: Simplify z into z 0.414 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.415 * [backup-simplify]: Simplify (- (/ (/ 1 y) z) (+ (* (/ 1 z) (/ 0 z)))) into (/ 1 (* z y)) 0.415 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.415 * [taylor]: Taking taylor expansion of (* z y) in y 0.415 * [taylor]: Taking taylor expansion of z in y 0.415 * [backup-simplify]: Simplify z into z 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* z 0) into 0 0.415 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.415 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.415 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.415 * [taylor]: Taking taylor expansion of z in z 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.416 * [taylor]: Taking taylor expansion of z in z 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* (/ 1 (* z y)) (/ 0 z)))) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in z 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in z 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* (/ 1 (* z y)) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [taylor]: Taking taylor expansion of 0 in z 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in z 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in z 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 z)) (* 1 (/ 1 (/ 1 x))))) (* 1 (* (/ 1 (/ 1 z)) (* (/ 1 (/ 1 y)) 1)))) into (+ (* x z) (* z y)) 0.423 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (/ (+ (/ 1 y) (/ 1 x)) z) 0.423 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in (x y z) around 0 0.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in z 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.423 * [taylor]: Taking taylor expansion of y in z 0.423 * [backup-simplify]: Simplify y into y 0.424 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.424 * [taylor]: Taking taylor expansion of x in z 0.424 * [backup-simplify]: Simplify x into x 0.424 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.424 * [taylor]: Taking taylor expansion of z in z 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (+ (/ 1 y) (/ 1 x)) into (+ (/ 1 y) (/ 1 x)) 0.424 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) 1) into (+ (/ 1 y) (/ 1 x)) 0.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in y 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [backup-simplify]: Simplify x into x 0.424 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.424 * [taylor]: Taking taylor expansion of z in y 0.424 * [backup-simplify]: Simplify z into z 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.425 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in x 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of z in x 0.425 * [backup-simplify]: Simplify z into z 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in x 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of z in x 0.426 * [backup-simplify]: Simplify z into z 0.427 * [backup-simplify]: Simplify (+ 0 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.427 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.427 * [taylor]: Taking taylor expansion of z in y 0.427 * [backup-simplify]: Simplify z into z 0.427 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.428 * [backup-simplify]: Simplify (- (/ (/ 1 y) z) (+ (* (/ 1 z) (/ 0 z)))) into (/ 1 (* z y)) 0.428 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.428 * [taylor]: Taking taylor expansion of (* z y) in y 0.428 * [taylor]: Taking taylor expansion of z in y 0.428 * [backup-simplify]: Simplify z into z 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* z 0) into 0 0.428 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.428 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.428 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.428 * [taylor]: Taking taylor expansion of z in z 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.429 * [taylor]: Taking taylor expansion of z in z 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* (/ 1 (* z y)) (/ 0 z)))) into 0 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in z 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in z 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* (/ 1 (* z y)) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [taylor]: Taking taylor expansion of 0 in z 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in z 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in z 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- z))) (* 1 (/ 1 (/ 1 (- x)))))) (* 1 (* (/ 1 (/ 1 (- z))) (* (/ 1 (/ 1 (- y))) 1)))) into (+ (* x z) (* z y)) 0.436 * * * [progress]: simplifying candidates 0.436 * [simplify]: Simplifying: (expm1 (* (+ x y) z)) (log1p (* (+ x y) z)) (* (+ x y) z) (+ (log (+ x y)) (log z)) (log (* (+ x y) z)) (exp (* (+ x y) z)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* z z) z)) (* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z))) (cbrt (* (+ x y) z)) (* (* (* (+ x y) z) (* (+ x y) z)) (* (+ x y) z)) (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)) (* (sqrt (+ x y)) (sqrt z)) (* (sqrt (+ x y)) (sqrt z)) (* (+ x y) (* (cbrt z) (cbrt z))) (* (+ x y) (sqrt z)) (* (+ x y) 1) (* (cbrt (+ x y)) z) (* (sqrt (+ x y)) z) (* (+ x y) z) (* (+ x y) z) (* (+ (pow x 3) (pow y 3)) z) (* (- (* x x) (* y y)) z) 0 (+ (* x z) (* z y)) (+ (* x z) (* z y)) 0.437 * [simplify]: Sending expressions to egg_math: (expm1 (* (+ h0 h1) h2)) (log1p (* (+ h0 h1) h2)) (* (+ h0 h1) h2) (+ (log (+ h0 h1)) (log h2)) (log (* (+ h0 h1) h2)) (exp (* (+ h0 h1) h2)) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (+ h0 h1) h2)) (cbrt (* (+ h0 h1) h2))) (cbrt (* (+ h0 h1) h2)) (* (* (* (+ h0 h1) h2) (* (+ h0 h1) h2)) (* (+ h0 h1) h2)) (sqrt (* (+ h0 h1) h2)) (sqrt (* (+ h0 h1) h2)) (* (sqrt (+ h0 h1)) (sqrt h2)) (* (sqrt (+ h0 h1)) (sqrt h2)) (* (+ h0 h1) (* (cbrt h2) (cbrt h2))) (* (+ h0 h1) (sqrt h2)) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) h2) (* (sqrt (+ h0 h1)) h2) (* (+ h0 h1) h2) (* (+ h0 h1) h2) (* (+ (pow h0 3) (pow h1 3)) h2) (* (- (* h0 h0) (* h1 h1)) h2) 0 (+ (* h0 h2) (* h2 h1)) (+ (* h0 h2) (* h2 h1)) 0.440 * * [simplify]: iteration 0 : 110 enodes (cost 88 ) 0.443 * * [simplify]: iteration 1 : 433 enodes (cost 78 ) 0.452 * * [simplify]: iteration 2 : 1936 enodes (cost 78 ) 0.476 * * [simplify]: iteration 3 : 5003 enodes (cost 78 ) 0.476 * * * [progress]: adding candidates to table 0.525 * * [progress]: iteration 2 / 4 0.525 * * * [progress]: picking best candidate 0.527 * * * * [pick]: Picked # 0.527 * * * [progress]: localizing error 0.532 * * * [progress]: generating rewritten candidates 0.532 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.532 * * * [progress]: generating series expansions 0.532 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.533 * [backup-simplify]: Simplify (fma x z (* z y)) into (fma x z (* z y)) 0.533 * [approximate]: Taking taylor expansion of (fma x z (* z y)) in (x z y) around 0 0.533 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in y 0.534 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.534 * [taylor]: Taking taylor expansion of (* x z) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [backup-simplify]: Simplify x into x 0.534 * [taylor]: Taking taylor expansion of z in y 0.534 * [backup-simplify]: Simplify z into z 0.534 * [taylor]: Taking taylor expansion of (* z y) in y 0.534 * [taylor]: Taking taylor expansion of z in y 0.534 * [backup-simplify]: Simplify z into z 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in z 0.534 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.534 * [taylor]: Taking taylor expansion of (* x z) in z 0.534 * [taylor]: Taking taylor expansion of x in z 0.534 * [backup-simplify]: Simplify x into x 0.534 * [taylor]: Taking taylor expansion of z in z 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of (* z y) in z 0.534 * [taylor]: Taking taylor expansion of z in z 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [taylor]: Taking taylor expansion of y in z 0.535 * [backup-simplify]: Simplify y into y 0.535 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in x 0.535 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.535 * [taylor]: Taking taylor expansion of (* x z) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [taylor]: Taking taylor expansion of z in x 0.535 * [backup-simplify]: Simplify z into z 0.535 * [taylor]: Taking taylor expansion of (* z y) in x 0.535 * [taylor]: Taking taylor expansion of z in x 0.535 * [backup-simplify]: Simplify z into z 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [backup-simplify]: Simplify y into y 0.535 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in x 0.535 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.535 * [taylor]: Taking taylor expansion of (* x z) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [taylor]: Taking taylor expansion of z in x 0.535 * [backup-simplify]: Simplify z into z 0.535 * [taylor]: Taking taylor expansion of (* z y) in x 0.535 * [taylor]: Taking taylor expansion of z in x 0.535 * [backup-simplify]: Simplify z into z 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [backup-simplify]: Simplify y into y 0.535 * [backup-simplify]: Simplify (* 0 z) into 0 0.535 * [backup-simplify]: Simplify (* z y) into (* z y) 0.535 * [backup-simplify]: Simplify (+ 0 (* z y)) into (* z y) 0.535 * [taylor]: Taking taylor expansion of (* z y) in z 0.535 * [taylor]: Taking taylor expansion of z in z 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of y in z 0.536 * [backup-simplify]: Simplify y into y 0.536 * [backup-simplify]: Simplify (* 0 y) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 z)) into z 0.536 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.536 * [backup-simplify]: Simplify (+ z 0) into z 0.536 * [taylor]: Taking taylor expansion of z in z 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.536 * [taylor]: Taking taylor expansion of y in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 z))) into 0 0.537 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [taylor]: Taking taylor expansion of 0 in z 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [taylor]: Taking taylor expansion of 1 in y 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 z)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in z 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 (* y (* z 1))) (* 1 (* 1 (* z x)))) into (+ (* x z) (* z y)) 0.541 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 z) (* (/ 1 z) (/ 1 y))) into (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) 0.541 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in (x z y) around 0 0.541 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in y 0.541 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.541 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [backup-simplify]: Simplify x into x 0.541 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.541 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.541 * [taylor]: Taking taylor expansion of z in y 0.541 * [backup-simplify]: Simplify z into z 0.541 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.541 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.541 * [taylor]: Taking taylor expansion of (* z y) in y 0.541 * [taylor]: Taking taylor expansion of z in y 0.541 * [backup-simplify]: Simplify z into z 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* z 0) into 0 0.542 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.542 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.542 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in z 0.542 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.542 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in z 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.542 * [taylor]: Taking taylor expansion of x in z 0.542 * [backup-simplify]: Simplify x into x 0.542 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.542 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.542 * [taylor]: Taking taylor expansion of z in z 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.542 * [taylor]: Taking taylor expansion of (* z y) in z 0.542 * [taylor]: Taking taylor expansion of z in z 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of y in z 0.542 * [backup-simplify]: Simplify y into y 0.542 * [backup-simplify]: Simplify (* 0 y) into 0 0.543 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.543 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.543 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in x 0.543 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.543 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.543 * [taylor]: Taking taylor expansion of z in x 0.543 * [backup-simplify]: Simplify z into z 0.543 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.543 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.543 * [taylor]: Taking taylor expansion of (* z y) in x 0.543 * [taylor]: Taking taylor expansion of z in x 0.543 * [backup-simplify]: Simplify z into z 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [backup-simplify]: Simplify y into y 0.543 * [backup-simplify]: Simplify (* z y) into (* z y) 0.543 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.543 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in x 0.543 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.543 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.544 * [taylor]: Taking taylor expansion of z in x 0.544 * [backup-simplify]: Simplify z into z 0.544 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.544 * [taylor]: Taking taylor expansion of (* z y) in x 0.544 * [taylor]: Taking taylor expansion of z in x 0.544 * [backup-simplify]: Simplify z into z 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (* z y) into (* z y) 0.544 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.544 * [backup-simplify]: Simplify (* 1 (/ 1 z)) into (/ 1 z) 0.544 * [backup-simplify]: Simplify (+ (/ 1 z) 0) into (/ 1 z) 0.544 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.544 * [taylor]: Taking taylor expansion of z in z 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of 1 in y 0.544 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ 1 z))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 (/ 1 (* z y))) into (/ 1 (* z y)) 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.545 * [taylor]: Taking taylor expansion of (* z y) in z 0.545 * [taylor]: Taking taylor expansion of z in z 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [taylor]: Taking taylor expansion of y in z 0.545 * [backup-simplify]: Simplify y into y 0.545 * [backup-simplify]: Simplify (* 0 y) into 0 0.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.546 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.546 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [taylor]: Taking taylor expansion of 0 in z 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 z))))) into 0 0.551 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))) (* 0 (/ 0 (* z y))))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in z 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 z)) (/ 1 (/ 1 x))))) (* 1 (* (/ 1 (/ 1 y)) (* (/ 1 (/ 1 z)) 1)))) into (+ (* x z) (* z y)) 0.554 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- z)) (* (/ 1 (- z)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) 0.554 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in (x z y) around 0 0.554 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in y 0.554 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.554 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in y 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.554 * [taylor]: Taking taylor expansion of -1 in y 0.554 * [backup-simplify]: Simplify -1 into -1 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [backup-simplify]: Simplify x into x 0.554 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.554 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.554 * [taylor]: Taking taylor expansion of -1 in y 0.554 * [backup-simplify]: Simplify -1 into -1 0.554 * [taylor]: Taking taylor expansion of z in y 0.554 * [backup-simplify]: Simplify z into z 0.554 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.554 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.554 * [taylor]: Taking taylor expansion of (* z y) in y 0.554 * [taylor]: Taking taylor expansion of z in y 0.554 * [backup-simplify]: Simplify z into z 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* z 0) into 0 0.555 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.555 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.555 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in z 0.555 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in z 0.555 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.555 * [taylor]: Taking taylor expansion of -1 in z 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of x in z 0.555 * [backup-simplify]: Simplify x into x 0.555 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.555 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.555 * [taylor]: Taking taylor expansion of -1 in z 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of z in z 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ -1 1) into -1 0.555 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.555 * [taylor]: Taking taylor expansion of (* z y) in z 0.555 * [taylor]: Taking taylor expansion of z in z 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [taylor]: Taking taylor expansion of y in z 0.555 * [backup-simplify]: Simplify y into y 0.556 * [backup-simplify]: Simplify (* 0 y) into 0 0.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.556 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.556 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in x 0.556 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.556 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.556 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of z in x 0.556 * [backup-simplify]: Simplify z into z 0.556 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.556 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.556 * [taylor]: Taking taylor expansion of (* z y) in x 0.556 * [taylor]: Taking taylor expansion of z in x 0.556 * [backup-simplify]: Simplify z into z 0.556 * [taylor]: Taking taylor expansion of y in x 0.557 * [backup-simplify]: Simplify y into y 0.557 * [backup-simplify]: Simplify (* z y) into (* z y) 0.557 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.557 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in x 0.557 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.557 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [backup-simplify]: Simplify -1 into -1 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ -1 1) into -1 0.557 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [backup-simplify]: Simplify -1 into -1 0.557 * [taylor]: Taking taylor expansion of z in x 0.557 * [backup-simplify]: Simplify z into z 0.557 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.557 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.557 * [taylor]: Taking taylor expansion of (* z y) in x 0.557 * [taylor]: Taking taylor expansion of z in x 0.557 * [backup-simplify]: Simplify z into z 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [backup-simplify]: Simplify y into y 0.557 * [backup-simplify]: Simplify (* z y) into (* z y) 0.557 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.557 * [backup-simplify]: Simplify (* -1 (/ -1 z)) into (/ 1 z) 0.558 * [backup-simplify]: Simplify (+ (/ 1 z) 0) into (/ 1 z) 0.558 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.558 * [taylor]: Taking taylor expansion of z in z 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of 1 in y 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ -1 z))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 (/ 1 (* z y))) into (/ 1 (* z y)) 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.559 * [taylor]: Taking taylor expansion of (* z y) in z 0.559 * [taylor]: Taking taylor expansion of z in z 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [taylor]: Taking taylor expansion of y in z 0.559 * [backup-simplify]: Simplify y into y 0.559 * [backup-simplify]: Simplify (* 0 y) into 0 0.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.559 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [taylor]: Taking taylor expansion of 0 in z 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 z))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))) (* 0 (/ 0 (* z y))))) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in z 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- z))) (/ 1 (/ 1 (- x)))))) (* 1 (* (/ 1 (/ 1 (- y))) (* (/ 1 (/ 1 (- z))) 1)))) into (+ (* x z) (* z y)) 0.567 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying: (expm1 (fma x z (* z y))) (log1p (fma x z (* z y))) (* x z) (log (fma x z (* z y))) (exp (fma x z (* z y))) (* (cbrt (fma x z (* z y))) (cbrt (fma x z (* z y)))) (cbrt (fma x z (* z y))) (* (* (fma x z (* z y)) (fma x z (* z y))) (fma x z (* z y))) (sqrt (fma x z (* z y))) (sqrt (fma x z (* z y))) (+ (* x z) (* z y)) (+ (* x z) (* z y)) (+ (* x z) (* z y)) 0.568 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 h1 (* h1 h2))) (log1p (fma h0 h1 (* h1 h2))) (* h0 h1) (log (fma h0 h1 (* h1 h2))) (exp (fma h0 h1 (* h1 h2))) (* (cbrt (fma h0 h1 (* h1 h2))) (cbrt (fma h0 h1 (* h1 h2)))) (cbrt (fma h0 h1 (* h1 h2))) (* (* (fma h0 h1 (* h1 h2)) (fma h0 h1 (* h1 h2))) (fma h0 h1 (* h1 h2))) (sqrt (fma h0 h1 (* h1 h2))) (sqrt (fma h0 h1 (* h1 h2))) (+ (* h0 h1) (* h1 h2)) (+ (* h0 h1) (* h1 h2)) (+ (* h0 h1) (* h1 h2)) 0.570 * * [simplify]: iteration 0 : 20 enodes (cost 43 ) 0.571 * * [simplify]: iteration 1 : 54 enodes (cost 38 ) 0.573 * * [simplify]: iteration 2 : 207 enodes (cost 38 ) 0.578 * * [simplify]: iteration 3 : 766 enodes (cost 38 ) 0.599 * * [simplify]: iteration 4 : 3820 enodes (cost 38 ) 0.667 * * [simplify]: iteration 5 : 5001 enodes (cost 38 ) 0.668 * * * [progress]: adding candidates to table 0.695 * [progress]: [Phase 3 of 3] Extracting. 0.695 * * [regime]: Finding splitpoints for: (# #) 0.696 * * * [regime-changes]: Trying 5 branch expressions: ((+ x y) (* (+ x y) z) z y x) 0.696 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 0.709 * * * * [regimes]: Trying to branch on (* (+ x y) z) from (# #) 0.723 * * * * [regimes]: Trying to branch on z from (# #) 0.735 * * * * [regimes]: Trying to branch on y from (# #) 0.747 * * * * [regimes]: Trying to branch on x from (# #) 0.761 * * * [regime]: Found split indices: #