65.251 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.017 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) h1) h1) 0.020 * * [simplify]: iteration 0 : 10 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.023 * * [simplify]: iteration 2 : 16 enodes (cost 2 ) 0.025 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.026 * * [simplify]: iteration 4 : 17 enodes (cost 2 ) 0.026 * [simplify]: Simplified to: (+ y (fma x x y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (+ (fma x x y) y) in (y x) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in x 0.043 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.044 * [taylor]: Rewrote expression to (+ (* x x) y) 0.044 * [taylor]: Taking taylor expansion of (* x x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.044 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.044 * [taylor]: Rewrote expression to (+ (* x x) y) 0.044 * [taylor]: Taking taylor expansion of (* x x) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.044 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.044 * [taylor]: Rewrote expression to (+ (* x x) y) 0.044 * [taylor]: Taking taylor expansion of (* x x) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 2 in x 0.046 * [taylor]: Taking taylor expansion of 0 in x 0.047 * [taylor]: Taking taylor expansion of 0 in x 0.049 * [taylor]: Taking taylor expansion of 0 in x 0.049 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (y x) around 0 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.049 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.050 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.050 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.051 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 2 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 0 in x 0.058 * [taylor]: Taking taylor expansion of 0 in x 0.061 * [taylor]: Taking taylor expansion of 0 in x 0.065 * [taylor]: Taking taylor expansion of 0 in x 0.066 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in (y x) around 0 0.066 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.066 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.066 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.067 * [taylor]: Taking taylor expansion of -1 in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.067 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.067 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.067 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.067 * [taylor]: Taking taylor expansion of -1 in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.067 * [taylor]: Taking taylor expansion of -1 in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.067 * [taylor]: Taking taylor expansion of -1 in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.068 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.068 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.068 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.068 * [taylor]: Taking taylor expansion of -1 in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.068 * [taylor]: Taking taylor expansion of -1 in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.068 * [taylor]: Taking taylor expansion of -1 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of -2 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 0 in x 0.076 * [taylor]: Taking taylor expansion of 0 in x 0.079 * [taylor]: Taking taylor expansion of 0 in x 0.082 * [taylor]: Taking taylor expansion of 0 in x 0.083 * * * [progress]: simplifying candidates 0.083 * [simplify]: Simplifying using # : (expm1 (+ y (fma x x y))) (log1p (+ y (fma x x y))) (* (exp y) (exp (fma x x y))) (log (+ y (fma x x y))) (exp (+ y (fma x x y))) (* (cbrt (+ y (fma x x y))) (cbrt (+ y (fma x x y)))) (cbrt (+ y (fma x x y))) (* (* (+ y (fma x x y)) (+ y (fma x x y))) (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (+ (pow y 3) (pow (fma x x y) 3)) (+ (* y y) (- (* (fma x x y) (fma x x y)) (* y (fma x x y)))) (- (* y y) (* (fma x x y) (fma x x y))) (- y (fma x x y)) (+ y (fma x x y)) (+ y (* x x)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.083 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (fma h1 h1 h0))) (log1p (+ h0 (fma h1 h1 h0))) (* (exp h0) (exp (fma h1 h1 h0))) (log (+ h0 (fma h1 h1 h0))) (exp (+ h0 (fma h1 h1 h0))) (* (cbrt (+ h0 (fma h1 h1 h0))) (cbrt (+ h0 (fma h1 h1 h0)))) (cbrt (+ h0 (fma h1 h1 h0))) (* (* (+ h0 (fma h1 h1 h0)) (+ h0 (fma h1 h1 h0))) (+ h0 (fma h1 h1 h0))) (sqrt (+ h0 (fma h1 h1 h0))) (sqrt (+ h0 (fma h1 h1 h0))) (+ (pow h0 3) (pow (fma h1 h1 h0) 3)) (+ (* h0 h0) (- (* (fma h1 h1 h0) (fma h1 h1 h0)) (* h0 (fma h1 h1 h0)))) (- (* h0 h0) (* (fma h1 h1 h0) (fma h1 h1 h0))) (- h0 (fma h1 h1 h0)) (+ h0 (fma h1 h1 h0)) (+ h0 (* h1 h1)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) 0.087 * * [simplify]: iteration 0 : 80 enodes (cost 68 ) 0.090 * * [simplify]: iteration 1 : 232 enodes (cost 59 ) 0.096 * * [simplify]: iteration 2 : 949 enodes (cost 59 ) 0.120 * * [simplify]: iteration 3 : 5001 enodes (cost 58 ) 0.121 * [simplify]: Simplified to: (expm1 (+ y (fma x x y))) (log1p (+ y (fma x x y))) (exp (+ y (fma x x y))) (log (+ y (fma x x y))) (exp (+ y (fma x x y))) (* (cbrt (+ y (fma x x y))) (cbrt (+ y (fma x x y)))) (cbrt (+ y (fma x x y))) (pow (+ y (fma x x y)) 3) (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (+ (pow y 3) (pow (fma x x y) 3)) (fma (pow x 2) (fma x x y) (* y y)) (- (* y y) (* (fma x x y) (fma x x y))) (- y (fma x x y)) (fma y 2 (pow x 2)) (fma x x y) (fma y 2 (pow x 2)) (fma y 2 (pow x 2)) (fma y 2 (pow x 2)) 0.121 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.172 * * * [progress]: generating rewritten candidates 0.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.173 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.174 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.175 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.188 * * * [progress]: generating series expansions 0.189 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.189 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.189 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.189 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.189 * [taylor]: Taking taylor expansion of 1/3 in y 0.189 * [taylor]: Taking taylor expansion of (log y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.190 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.190 * [taylor]: Taking taylor expansion of 1/3 in y 0.190 * [taylor]: Taking taylor expansion of (log y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.239 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.239 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.239 * [taylor]: Taking taylor expansion of 1/3 in y 0.239 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.240 * [taylor]: Taking taylor expansion of 1/3 in y 0.240 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.294 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.294 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.294 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.294 * [taylor]: Taking taylor expansion of -1 in y 0.295 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.295 * [taylor]: Taking taylor expansion of 1/3 in y 0.295 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.296 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.296 * [taylor]: Taking taylor expansion of -1 in y 0.296 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.296 * [taylor]: Taking taylor expansion of 1/3 in y 0.297 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.362 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.362 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.362 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.362 * [taylor]: Taking taylor expansion of 1/3 in y 0.362 * [taylor]: Taking taylor expansion of (log y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.363 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.363 * [taylor]: Taking taylor expansion of 1/3 in y 0.363 * [taylor]: Taking taylor expansion of (log y) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.412 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.412 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.412 * [taylor]: Taking taylor expansion of 1/3 in y 0.412 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.413 * [taylor]: Taking taylor expansion of 1/3 in y 0.413 * [taylor]: Taking taylor expansion of (log (/ 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 0.468 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.468 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.468 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.468 * [taylor]: Taking taylor expansion of -1 in y 0.469 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.469 * [taylor]: Taking taylor expansion of 1/3 in y 0.469 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.470 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.470 * [taylor]: Taking taylor expansion of -1 in y 0.470 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.471 * [taylor]: Taking taylor expansion of 1/3 in y 0.471 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.536 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.536 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.536 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.536 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.536 * [taylor]: Taking taylor expansion of 1/3 in y 0.536 * [taylor]: Taking taylor expansion of (log y) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.537 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.537 * [taylor]: Taking taylor expansion of 1/3 in y 0.537 * [taylor]: Taking taylor expansion of (log y) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.587 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.587 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.587 * [taylor]: Taking taylor expansion of 1/3 in y 0.587 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.588 * [taylor]: Taking taylor expansion of 1/3 in y 0.588 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.639 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.639 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.639 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.639 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.640 * [taylor]: Taking taylor expansion of 1/3 in y 0.640 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.641 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.641 * [taylor]: Taking taylor expansion of -1 in y 0.641 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.641 * [taylor]: Taking taylor expansion of 1/3 in y 0.641 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.706 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.707 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 0.707 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.707 * [taylor]: Taking taylor expansion of 1/3 in y 0.707 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.708 * [taylor]: Taking taylor expansion of 1/3 in y 0.708 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.762 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 0.762 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.762 * [taylor]: Taking taylor expansion of 1/3 in y 0.762 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.764 * [taylor]: Taking taylor expansion of 1/3 in y 0.764 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.823 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 0.823 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 0.823 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.823 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.823 * [taylor]: Taking taylor expansion of -1 in y 0.824 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.824 * [taylor]: Taking taylor expansion of 1/3 in y 0.824 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 0.825 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.825 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.825 * [taylor]: Taking taylor expansion of -1 in y 0.826 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.826 * [taylor]: Taking taylor expansion of 1/3 in y 0.826 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.903 * * * [progress]: simplifying candidates 0.904 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 0.904 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (* (cbrt h0) (cbrt h0))) (log1p (* (cbrt h0) (cbrt h0))) (+ 1/3 1/3) (+ 1 1) (* h0 h0) (* (cbrt h0) (cbrt h0)) (+ 1 1) (+ (log (cbrt h0)) (log (cbrt h0))) (log (* (cbrt h0) (cbrt h0))) (exp (* (cbrt h0) (cbrt h0))) (* h0 h0) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (cbrt (* (cbrt h0) (cbrt h0))) (* (* (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))) (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt 1) (cbrt 1)) (* (cbrt h0) (cbrt h0)) (* (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 1 1) (* (cbrt h0) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 2 1/3) (* 2 1) (* (cbrt h0) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt h0) (cbrt (sqrt h0))) (* (cbrt h0) (cbrt 1)) (* (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt h0) (sqrt (cbrt h0))) (* (cbrt h0) 1) (* (cbrt (cbrt h0)) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt (cbrt h0)) (cbrt h0)) (* (sqrt (cbrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 2/3) (pow (/ 1 h0) -2/3) (* (pow (cbrt -1) 2) (pow (pow h0 2) 1/3)) 0.908 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.912 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.928 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 0.997 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 0.998 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 0.999 * * * [progress]: adding candidates to table 1.203 * [progress]: [Phase 3 of 3] Extracting. 1.203 * * [regime]: Finding splitpoints for: (# #) 1.203 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.203 * * * * [regimes]: Trying to branch on y from (# #) 1.216 * * * * [regimes]: Trying to branch on x from (# #) 1.226 * * * [regime]: Found split indices: #