33.070 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (* x (/ (sin y) y)) 0.033 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.035 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.036 * * [simplify]: iteration 2 : 16 enodes (cost 3 ) 0.037 * * [simplify]: iteration 3 : 17 enodes (cost 3 ) 0.039 * * [simplify]: iteration 4 : 17 enodes (cost 3 ) 0.039 * [simplify]: Simplified to: (* x (/ (sin y) y)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.061 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.061 * [taylor]: Taking taylor expansion of (sin y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.066 * [taylor]: Taking taylor expansion of (sin y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.074 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.074 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.074 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.074 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.079 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.079 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.079 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.079 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.080 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.080 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.080 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.092 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.092 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.092 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (sin y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.093 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (sin y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.096 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (sin y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.098 * [taylor]: Taking taylor expansion of (sin y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.118 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.119 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.119 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.119 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.119 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.120 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.132 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.132 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.132 * [taylor]: Taking taylor expansion of -1 in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.133 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.133 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.133 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.133 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.134 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.134 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.134 * [taylor]: Taking taylor expansion of -1 in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * * * [progress]: simplifying candidates 0.150 * [simplify]: Simplifying using # : (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (- (log (sin y)) (log y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y)) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) 1) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (/ 1 1) (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (/ (sin y) 1) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* x (/ (sin y) y))) (log1p (* x (/ (sin y) y))) (* x (/ (sin y) y)) (+ (log x) (- (log (sin y)) (log y))) (+ (log x) (log (/ (sin y) y))) (log (* x (/ (sin y) y))) (exp (* x (/ (sin y) y))) (* (* (* x x) x) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y))) (* (* (* x x) x) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y))) (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y))) (* (* (* x (/ (sin y) y)) (* x (/ (sin y) y))) (* x (/ (sin y) y))) (sqrt (* x (/ (sin y) y))) (sqrt (* x (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (* x (sqrt (/ (sin y) y))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) 1)) (* x (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt (sin y)) (sqrt y))) (* x (/ (sqrt (sin y)) 1)) (* x (/ 1 (* (cbrt y) (cbrt y)))) (* x (/ 1 (sqrt y))) (* x (/ 1 1)) (* x 1) (* x (sin y)) (* (cbrt x) (/ (sin y) y)) (* (sqrt x) (/ (sin y) y)) (* x (/ (sin y) y)) (* x (sin y)) (* x (- (sin y))) (* x 1) (* x (/ (sin y) (* (cbrt y) (cbrt y)))) (* x (/ (sin y) (sqrt y))) (* x (/ (sin y) 1)) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) (* x 1) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.155 * * [simplify]: iteration 0 : 234 enodes (cost 358 ) 0.160 * * [simplify]: iteration 1 : 1087 enodes (cost 326 ) 0.183 * * [simplify]: iteration 2 : 5002 enodes (cost 326 ) 0.185 * [simplify]: Simplified to: (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (log (/ (sin y) y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (pow (/ (sin y) y) 3) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (pow (/ (sin y) y) 3) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (sqrt (sin y)) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) 1 (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* x (/ (sin y) y))) (log1p (* x (/ (sin y) y))) (* x (/ (sin y) y)) (log (* x (/ (sin y) y))) (log (* x (/ (sin y) y))) (log (* x (/ (sin y) y))) (exp (* x (/ (sin y) y))) (pow (* x (/ (sin y) y)) 3) (pow (* x (/ (sin y) y)) 3) (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y))) (pow (* x (/ (sin y) y)) 3) (sqrt (* x (/ (sin y) y))) (sqrt (* x (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (sqrt (/ (sin y) y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* (sqrt x) (/ (sqrt (sin y)) (sqrt y))) (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (* x (sqrt (/ (sin y) y))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt (sin y)) (sqrt y))) (* (sqrt (sin y)) x) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (* (sin y) x) (* (cbrt x) (/ (sin y) y)) (* (sqrt x) (/ (sin y) y)) (* x (/ (sin y) y)) (* (sin y) x) (* x (- (sin y))) x (* x (/ (sin y) (* (cbrt y) (cbrt y)))) (* x (/ (sin y) (sqrt y))) (* (sin y) x) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* (sqrt (sin y)) x) x (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (* x (/ (sin y) y)) (* x (/ (sin y) y)) 0.186 * * * [progress]: adding candidates to table 0.290 * * [progress]: iteration 2 / 4 0.290 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.308 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.319 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.319 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.319 * [taylor]: Taking taylor expansion of (sin y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.320 * [taylor]: Taking taylor expansion of (sin y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.328 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.328 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.328 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.329 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.333 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.333 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.333 * [taylor]: Taking taylor expansion of -1 in y 0.333 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.333 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.333 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.333 * [taylor]: Taking taylor expansion of -1 in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.334 * [taylor]: Taking taylor expansion of -1 in y 0.334 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.334 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.334 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.334 * [taylor]: Taking taylor expansion of -1 in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.350 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.350 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (y x) around 0 0.350 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.350 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (sin y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.352 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (sin y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.353 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (sin y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.358 * [taylor]: Taking taylor expansion of (- (* 1/6 x)) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.358 * [taylor]: Taking taylor expansion of 1/6 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 0 in x 0.363 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (y x) around 0 0.363 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.363 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.363 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.363 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.363 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in x 0.365 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 0 in x 0.369 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (y x) around 0 0.378 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.378 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.378 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.378 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.378 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.378 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.378 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.378 * [taylor]: Taking taylor expansion of -1 in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.379 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.379 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.379 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.379 * [taylor]: Taking taylor expansion of -1 in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in x 0.380 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.384 * [taylor]: Taking taylor expansion of 0 in x 0.388 * [taylor]: Taking taylor expansion of 0 in x 0.392 * * * [progress]: simplifying candidates 0.393 * [simplify]: Simplifying using # : (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (- (log (sin y)) (log y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y)) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) 1) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (/ 1 1) (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (/ (sin y) 1) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* (/ (sin y) y) x)) (log1p (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (+ (- (log (sin y)) (log y)) (log x)) (+ (log (/ (sin y) y)) (log x)) (log (* (/ (sin y) y) x)) (exp (* (/ (sin y) y) x)) (* (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y)) (* (* x x) x)) (* (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y)) (* (* x x) x)) (* (cbrt (* (/ (sin y) y) x)) (cbrt (* (/ (sin y) y) x))) (cbrt (* (/ (sin y) y) x)) (* (* (* (/ (sin y) y) x) (* (/ (sin y) y) x)) (* (/ (sin y) y) x)) (sqrt (* (/ (sin y) y) x)) (sqrt (* (/ (sin y) y) x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sin y) y) (* (cbrt x) (cbrt x))) (* (/ (sin y) y) (sqrt x)) (* (/ (sin y) y) 1) (* (cbrt (/ (sin y) y)) x) (* (sqrt (/ (sin y) y)) x) (* (/ (cbrt (sin y)) (cbrt y)) x) (* (/ (cbrt (sin y)) (sqrt y)) x) (* (/ (cbrt (sin y)) y) x) (* (/ (sqrt (sin y)) (cbrt y)) x) (* (/ (sqrt (sin y)) (sqrt y)) x) (* (/ (sqrt (sin y)) y) x) (* (/ (sin y) (cbrt y)) x) (* (/ (sin y) (sqrt y)) x) (* (/ (sin y) y) x) (* (/ (sin y) y) x) (* (/ 1 y) x) (* (sin y) x) (* (- (sin y)) x) (* 1 x) (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* (/ (sin y) 1) x) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) (* 1 x) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.398 * * [simplify]: iteration 0 : 236 enodes (cost 351 ) 0.403 * * [simplify]: iteration 1 : 1142 enodes (cost 319 ) 0.426 * * [simplify]: iteration 2 : 5002 enodes (cost 319 ) 0.428 * [simplify]: Simplified to: (expm1 (/ (sin y) y)) (log1p (/ (sin y) y)) (log (/ (sin y) y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (pow (/ (sin y) y) 3) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (pow (/ (sin y) y) 3) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (- (sin y)) (- y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (sqrt (sin y)) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) 1 (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (expm1 (* (/ (sin y) y) x)) (log1p (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (log (* (/ (sin y) y) x)) (log (* (/ (sin y) y) x)) (log (* (/ (sin y) y) x)) (exp (* (/ (sin y) y) x)) (pow (* (/ (sin y) y) x) 3) (pow (* (/ (sin y) y) x) 3) (* (cbrt (* (/ (sin y) y) x)) (cbrt (* (/ (sin y) y) x))) (cbrt (* (/ (sin y) y) x)) (pow (* (/ (sin y) y) x) 3) (sqrt (* (/ (sin y) y) x)) (sqrt (* (/ (sin y) y) x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (sqrt (/ (sin y) y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sqrt (sin y)) (sqrt y)) (sqrt x)) (* (/ (sin y) y) (* (cbrt x) (cbrt x))) (* (/ (sin y) y) (sqrt x)) (/ (sin y) y) (* (cbrt (/ (sin y) y)) x) (* (sqrt (/ (sin y) y)) x) (* (/ (cbrt (sin y)) (cbrt y)) x) (* (/ (cbrt (sin y)) (sqrt y)) x) (* (/ (cbrt (sin y)) y) x) (* (/ (sqrt (sin y)) (cbrt y)) x) (* (/ (sqrt (sin y)) (sqrt y)) x) (* (/ (sqrt (sin y)) y) x) (* (/ (sin y) (cbrt y)) x) (* (/ (sin y) (sqrt y)) x) (* (/ (sin y) y) x) (* (/ (sin y) y) x) (/ x y) (* x (sin y)) (* (- (sin y)) x) x (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* x (sin y)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (* (/ (sin y) y) x) (* (/ (sin y) y) x) 0.428 * * * [progress]: adding candidates to table 0.535 * * [progress]: iteration 3 / 4 0.535 * * * [progress]: picking best candidate 0.542 * * * * [pick]: Picked # 0.542 * * * [progress]: localizing error 0.548 * * * [progress]: generating rewritten candidates 0.548 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.551 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.563 * * * [progress]: generating series expansions 0.563 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.564 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.564 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (sin y) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (sin y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.573 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.574 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.574 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.574 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.574 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.574 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.581 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.581 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.581 * [taylor]: Taking taylor expansion of -1 in y 0.581 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.581 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.581 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.581 * [taylor]: Taking taylor expansion of -1 in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.582 * [taylor]: Taking taylor expansion of -1 in y 0.582 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.582 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.582 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.582 * [taylor]: Taking taylor expansion of -1 in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.588 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.589 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.589 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.589 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of (sin y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.589 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (sin y) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.592 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (sin y) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.594 * [taylor]: Taking taylor expansion of (sin y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.615 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.615 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.615 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.615 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.616 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.616 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.616 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.616 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.632 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.632 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.632 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.632 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.632 * [taylor]: Taking taylor expansion of -1 in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.633 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.633 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.633 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.633 * [taylor]: Taking taylor expansion of -1 in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.634 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.634 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.634 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.634 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.634 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.634 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.634 * [taylor]: Taking taylor expansion of -1 in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.647 * * * [progress]: simplifying candidates 0.648 * [simplify]: Simplifying using # : (expm1 (/ y (sin y))) (log1p (/ y (sin y))) (- (log y) (log (sin y))) (log (/ y (sin y))) (exp (/ y (sin y))) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y))) (sqrt (/ y (sin y))) (sqrt (/ y (sin y))) (- y) (- (sin y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt y) (cbrt (sin y))) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))) (/ (cbrt y) (sqrt (sin y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (sin y)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt y) (cbrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) 1) (/ (sqrt y) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ y (sqrt (sin y))) (/ 1 1) (/ y (sin y)) (/ 1 (sin y)) (/ (sin y) y) (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) (/ y 1) (/ (sin y) (cbrt y)) (/ (sin y) (sqrt y)) (/ (sin y) y) (expm1 (/ x (/ y (sin y)))) (log1p (/ x (/ y (sin y)))) (- (log x) (- (log y) (log (sin y)))) (- (log x) (log (/ y (sin y)))) (log (/ x (/ y (sin y)))) (exp (/ x (/ y (sin y)))) (/ (* (* x x) x) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y)))) (/ (* (* x x) x) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y)))) (* (cbrt (/ x (/ y (sin y)))) (cbrt (/ x (/ y (sin y))))) (cbrt (/ x (/ y (sin y)))) (* (* (/ x (/ y (sin y))) (/ x (/ y (sin y)))) (/ x (/ y (sin y)))) (sqrt (/ x (/ y (sin y)))) (sqrt (/ x (/ y (sin y)))) (- x) (- (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cbrt x) (cbrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y (sin y)))) (/ (cbrt x) (sqrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cbrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt x) (/ (cbrt y) (sin y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) 1)) (/ (cbrt x) (/ (sqrt y) (sin y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ y (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt (sin y)))) (/ (cbrt x) (/ y (sqrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) (/ 1 (sin y))) (/ (sqrt x) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (sqrt x) (cbrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (sqrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt x) (/ (cbrt y) (sin y))) (/ (sqrt x) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (sqrt y) 1)) (/ (sqrt x) (/ (sqrt y) (sin y))) (/ (sqrt x) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ y (cbrt (sin y)))) (/ (sqrt x) (/ 1 (sqrt (sin y)))) (/ (sqrt x) (/ y (sqrt (sin y)))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ y (sin y))) (/ (sqrt x) 1) (/ (sqrt x) (/ y (sin y))) (/ (sqrt x) y) (/ (sqrt x) (/ 1 (sin y))) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ x (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (cbrt y) (cbrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ x (/ (cbrt y) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ x (/ (cbrt y) (sin y))) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (sqrt y) (cbrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ x (/ (sqrt y) (sin y))) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ y (cbrt (sin y)))) (/ 1 (/ 1 (sqrt (sin y)))) (/ x (/ y (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ x (/ y (sin y))) (/ 1 1) (/ x (/ y (sin y))) (/ 1 y) (/ x (/ 1 (sin y))) (/ 1 (/ y (sin y))) (/ (/ y (sin y)) x) (/ x (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (sqrt (/ y (sin y)))) (/ x (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ x (/ (* (cbrt y) (cbrt y)) 1)) (/ x (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ x (/ (sqrt y) 1)) (/ x (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ 1 (sqrt (sin y)))) (/ x (/ 1 1)) (/ x 1) (/ x y) (/ (/ y (sin y)) (cbrt x)) (/ (/ y (sin y)) (sqrt x)) (/ (/ y (sin y)) x) (/ x y) (/ x (- y)) (/ x 1) (/ x (/ y (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ y (sqrt (sin y)))) (/ x (/ y 1)) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) (/ x 1) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.654 * * [simplify]: iteration 0 : 377 enodes (cost 743 ) 0.662 * * [simplify]: iteration 1 : 1666 enodes (cost 707 ) 0.692 * * [simplify]: iteration 2 : 5001 enodes (cost 706 ) 0.697 * [simplify]: Simplified to: (expm1 (/ y (sin y))) (log1p (/ y (sin y))) (log (/ y (sin y))) (log (/ y (sin y))) (exp (/ y (sin y))) (pow (/ y (sin y)) 3) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))) (pow (/ y (sin y)) 3) (sqrt (/ y (sin y))) (sqrt (/ y (sin y))) (- y) (- (sin y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt y) (cbrt (sin y))) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))) (/ (cbrt y) (sqrt (sin y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (sin y)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt y) (cbrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (sqrt y) (/ (sqrt y) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ y (sqrt (sin y))) 1 (/ y (sin y)) (/ 1 (sin y)) (/ (sin y) y) (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) y (/ (sin y) (cbrt y)) (/ (sin y) (sqrt y)) (/ (sin y) y) (expm1 (/ x (/ y (sin y)))) (log1p (/ x (/ y (sin y)))) (log (/ x (/ y (sin y)))) (log (/ x (/ y (sin y)))) (log (/ x (/ y (sin y)))) (exp (/ x (/ y (sin y)))) (pow (/ (* x (sin y)) y) 3) (pow (/ (* x (sin y)) y) 3) (* (cbrt (/ x (/ y (sin y)))) (cbrt (/ x (/ y (sin y))))) (cbrt (/ x (/ y (sin y)))) (pow (/ (* x (sin y)) y) 3) (sqrt (/ x (/ y (sin y)))) (sqrt (/ x (/ y (sin y)))) (- x) (- (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cbrt x) (cbrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ y (sin y)))) (/ (cbrt x) (sqrt (/ y (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cbrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (* (cbrt y) (cbrt y)) (cbrt x))) (/ (cbrt x) (/ (cbrt y) (sin y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (cbrt x) (/ (sqrt y) (sin y))) (* (* (cbrt x) (cbrt x)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt x) (/ y (cbrt (sin y)))) (* (* (cbrt x) (cbrt x)) (sqrt (sin y))) (/ (cbrt x) (/ y (sqrt (sin y)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ y (sin y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ y (sin y))) (/ (* (cbrt x) (cbrt x)) y) (* (sin y) (cbrt x)) (/ (sqrt x) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (sqrt x) (cbrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (sqrt (/ y (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (sqrt x) (/ (cbrt y) (sqrt (sin y)))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (cbrt y) (sin y))) (/ (sqrt x) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt x) (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (/ (sqrt y) (sin y))) (* (sqrt x) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt x) (/ y (cbrt (sin y)))) (* (sqrt x) (sqrt (sin y))) (/ (sqrt x) (/ y (sqrt (sin y)))) (sqrt x) (/ (sqrt x) (/ y (sin y))) (sqrt x) (/ (sqrt x) (/ y (sin y))) (/ (sqrt x) y) (* (sqrt x) (sin y)) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ x (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sqrt (sin y)))) (/ 1 (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (sin y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ x (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ 1 (sqrt y)) (/ x (/ (sqrt y) (sin y))) (* (cbrt (sin y)) (cbrt (sin y))) (/ x (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ x (/ y (sqrt (sin y)))) 1 (/ (* x (sin y)) y) 1 (/ (* x (sin y)) y) (/ 1 y) (* x (sin y)) (/ (sin y) y) (/ (/ y (sin y)) x) (/ x (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ x (sqrt (/ y (sin y)))) (/ x (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ x (* (cbrt y) (cbrt y))) (/ x (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (sqrt y) (sqrt (sin y)))) (/ x (sqrt y)) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) x x (/ x y) (/ (/ y (sin y)) (cbrt x)) (/ (/ y (sin y)) (sqrt x)) (/ (/ y (sin y)) x) (/ x y) (/ x (- y)) x (/ x (/ y (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ y (sqrt (sin y)))) (/ x y) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x (fma 1/6 (pow y 2) (fma 7/360 (pow y 4) 1)) (/ y (sin y)) (/ y (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 0.697 * * * [progress]: adding candidates to table 0.879 * * [progress]: iteration 4 / 4 0.879 * * * [progress]: picking best candidate 0.885 * * * * [pick]: Picked # 0.885 * * * [progress]: localizing error 0.892 * * * [progress]: generating rewritten candidates 0.892 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.901 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.924 * * * [progress]: generating series expansions 0.924 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.924 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.924 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.924 * [taylor]: Taking taylor expansion of (sin y) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.925 * [taylor]: Taking taylor expansion of (sin y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.933 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.933 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.933 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.933 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.938 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.938 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.938 * [taylor]: Taking taylor expansion of -1 in y 0.938 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.938 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.938 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.938 * [taylor]: Taking taylor expansion of -1 in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.938 * [taylor]: Taking taylor expansion of -1 in y 0.938 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.938 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.938 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.938 * [taylor]: Taking taylor expansion of -1 in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.954 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.954 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.954 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.954 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (sin y) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.955 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (sin y) in x 0.955 * [taylor]: Taking taylor expansion of y in x 0.955 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.957 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (sin y) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.960 * [taylor]: Taking taylor expansion of (sin y) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.980 * [taylor]: Taking taylor expansion of 0 in y 0.980 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.980 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.980 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.980 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.981 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.981 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.982 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.994 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.994 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.994 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.994 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.994 * [taylor]: Taking taylor expansion of -1 in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of x in y 0.995 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.995 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.995 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.995 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.995 * [taylor]: Taking taylor expansion of -1 in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.996 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.996 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.996 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.996 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.996 * [taylor]: Taking taylor expansion of -1 in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.008 * [taylor]: Taking taylor expansion of 0 in y 1.008 * * * [progress]: simplifying candidates 1.010 * [simplify]: Simplifying using # : (expm1 (* (sin y) (/ 1 y))) (log1p (* (sin y) (/ 1 y))) (* (sin y) (/ 1 y)) (+ (log (sin y)) (- (log y))) (+ (log (sin y)) (- 0 (log y))) (+ (log (sin y)) (- (log 1) (log y))) (+ (log (sin y)) (log (/ 1 y))) (log (* (sin y) (/ 1 y))) (exp (* (sin y) (/ 1 y))) (* (* (* (sin y) (sin y)) (sin y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (sin y) (sin y)) (sin y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y)))) (cbrt (* (sin y) (/ 1 y))) (* (* (* (sin y) (/ 1 y)) (* (sin y) (/ 1 y))) (* (sin y) (/ 1 y))) (sqrt (* (sin y) (/ 1 y))) (sqrt (* (sin y) (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (* (sqrt (sin y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (sin y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (sin y)) (/ 1 (sqrt y))) (* (sqrt (sin y)) (/ 1 (sqrt y))) (* (sin y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (sin y) (sqrt (/ 1 y))) (* (sin y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (sin y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (sin y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (sin y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (sin y) (/ (sqrt 1) (sqrt y))) (* (sin y) (/ (sqrt 1) 1)) (* (sin y) (/ 1 (* (cbrt y) (cbrt y)))) (* (sin y) (/ 1 (sqrt y))) (* (sin y) (/ 1 1)) (* (sin y) 1) (* (sin y) 1) (* (cbrt (sin y)) (/ 1 y)) (* (sqrt (sin y)) (/ 1 y)) (* (sin y) (/ 1 y)) (* (sin y) 1) (* (sin y) (- 1)) (* (sin y) 1) (* (sin y) (/ 1 (* (cbrt y) (cbrt y)))) (* (sin y) (/ 1 (sqrt y))) (* (sin y) (/ 1 1)) (* (sin y) (* (cbrt 1) (cbrt 1))) (* (sin y) (sqrt 1)) (* (sin y) 1) (expm1 (* x (* (sin y) (/ 1 y)))) (log1p (* x (* (sin y) (/ 1 y)))) (* x (* (sin y) (/ 1 y))) (* x (* (sin y) (/ 1 y))) (+ (log x) (+ (log (sin y)) (- (log y)))) (+ (log x) (+ (log (sin y)) (- 0 (log y)))) (+ (log x) (+ (log (sin y)) (- (log 1) (log y)))) (+ (log x) (+ (log (sin y)) (log (/ 1 y)))) (+ (log x) (log (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (exp (* x (* (sin y) (/ 1 y)))) (* (* (* x x) x) (* (* (* (sin y) (sin y)) (sin y)) (/ (* (* 1 1) 1) (* (* y y) y)))) (* (* (* x x) x) (* (* (* (sin y) (sin y)) (sin y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y)))) (* (* (* x x) x) (* (* (* (sin y) (/ 1 y)) (* (sin y) (/ 1 y))) (* (sin y) (/ 1 y)))) (* (cbrt (* x (* (sin y) (/ 1 y)))) (cbrt (* x (* (sin y) (/ 1 y))))) (cbrt (* x (* (sin y) (/ 1 y)))) (* (* (* x (* (sin y) (/ 1 y))) (* x (* (sin y) (/ 1 y)))) (* x (* (sin y) (/ 1 y)))) (sqrt (* x (* (sin y) (/ 1 y)))) (sqrt (* x (* (sin y) (/ 1 y)))) (* (sqrt x) (sqrt (* (sin y) (/ 1 y)))) (* (sqrt x) (sqrt (* (sin y) (/ 1 y)))) (* (sqrt x) (* (sqrt (sin y)) (sqrt (/ 1 y)))) (* (sqrt x) (* (sqrt (sin y)) (sqrt (/ 1 y)))) (* (sqrt x) (* (sqrt (sin y)) (/ (sqrt 1) (sqrt y)))) (* (sqrt x) (* (sqrt (sin y)) (/ (sqrt 1) (sqrt y)))) (* (sqrt x) (* (sqrt (sin y)) (/ 1 (sqrt y)))) (* (sqrt x) (* (sqrt (sin y)) (/ 1 (sqrt y)))) (* x (sin y)) (* x (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y))))) (* x (sqrt (* (sin y) (/ 1 y)))) (* x 1) (* x (* (sqrt (sin y)) (sqrt (/ 1 y)))) (* x (* (sqrt (sin y)) (/ (sqrt 1) (sqrt y)))) (* x (* (sqrt (sin y)) (/ 1 (sqrt y)))) (* x (* (sin y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))))) (* x (* (sin y) (sqrt (/ 1 y)))) (* x (* (sin y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))))) (* x (* (sin y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y)))) (* x (* (sin y) (/ (* (cbrt 1) (cbrt 1)) 1))) (* x (* (sin y) (/ (sqrt 1) (* (cbrt y) (cbrt y))))) (* x (* (sin y) (/ (sqrt 1) (sqrt y)))) (* x (* (sin y) (/ (sqrt 1) 1))) (* x (* (sin y) (/ 1 (* (cbrt y) (cbrt y))))) (* x (* (sin y) (/ 1 (sqrt y)))) (* x (* (sin y) (/ 1 1))) (* x (* (sin y) 1)) (* x (* (sin y) 1)) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) (* x 1) (* x (/ 1 y)) (* (cbrt x) (* (sin y) (/ 1 y))) (* (sqrt x) (* (sin y) (/ 1 y))) (* x (* (sin y) (/ 1 y))) (* x (sin y)) (* x (sin y)) (* x (sin y)) (* x (* (sin y) 1)) (* x (* (sin y) (- 1))) (* x (* (sin y) 1)) (* x (* (sin y) (/ 1 (* (cbrt y) (cbrt y))))) (* x (* (sin y) (/ 1 (sqrt y)))) (* x (* (sin y) (/ 1 1))) (* x (* (sin y) (* (cbrt 1) (cbrt 1)))) (* x (* (sin y) (sqrt 1))) (* x (* (sin y) 1)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 1.015 * * [simplify]: iteration 0 : 376 enodes (cost 580 ) 1.023 * * [simplify]: iteration 1 : 1818 enodes (cost 491 ) 1.054 * * [simplify]: iteration 2 : 5001 enodes (cost 455 ) 1.057 * [simplify]: Simplified to: (expm1 (* (sin y) (/ 1 y))) (log1p (* (sin y) (/ 1 y))) (/ (sin y) y) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (- (log (sin y)) (log y)) (exp (* (sin y) (/ 1 y))) (pow (/ (sin y) y) 3) (pow (/ (sin y) y) 3) (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y)))) (cbrt (* (sin y) (/ 1 y))) (pow (/ (sin y) y) 3) (sqrt (* (sin y) (/ 1 y))) (sqrt (* (sin y) (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (* (sqrt (sin y)) (sqrt (/ 1 y))) (/ (sqrt (sin y)) (pow y 1/2)) (/ (sqrt (sin y)) (pow y 1/2)) (/ (sqrt (sin y)) (pow y 1/2)) (/ (sqrt (sin y)) (pow y 1/2)) (* (sin y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (sin y) (sqrt (/ 1 y))) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (sin y) (sin y) (* (cbrt (sin y)) (/ 1 y)) (* (sqrt (sin y)) (/ 1 y)) (/ (sin y) y) (sin y) (- (sin y)) (sin y) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (sin y) (sin y) (sin y) (expm1 (* x (* (sin y) (/ 1 y)))) (log1p (* x (* (sin y) (/ 1 y)))) (* (/ (sin y) y) x) (* (/ (sin y) y) x) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (log (* x (* (sin y) (/ 1 y)))) (pow (exp x) (/ (sin y) y)) (pow (* (/ (sin y) y) x) 3) (pow (* (/ (sin y) y) x) 3) (pow (* (/ (sin y) y) x) 3) (* (cbrt (* x (* (sin y) (/ 1 y)))) (cbrt (* x (* (sin y) (/ 1 y))))) (cbrt (* x (* (sin y) (/ 1 y)))) (pow (* (/ (sin y) y) x) 3) (sqrt (* x (* (sin y) (/ 1 y)))) (sqrt (* x (* (sin y) (/ 1 y)))) (* (sqrt x) (sqrt (* (sin y) (/ 1 y)))) (* (sqrt x) (sqrt (* (sin y) (/ 1 y)))) (* (sqrt x) (* (sqrt (sin y)) (sqrt (/ 1 y)))) (* (sqrt x) (* (sqrt (sin y)) (sqrt (/ 1 y)))) (/ (* (sqrt x) (sqrt (sin y))) (sqrt y)) (/ (* (sqrt x) (sqrt (sin y))) (sqrt y)) (/ (* (sqrt x) (sqrt (sin y))) (sqrt y)) (/ (* (sqrt x) (sqrt (sin y))) (sqrt y)) (* (sin y) x) (* x (* (cbrt (* (sin y) (/ 1 y))) (cbrt (* (sin y) (/ 1 y))))) (* x (sqrt (* (sin y) (/ 1 y)))) x (* x (* (sqrt (sin y)) (sqrt (/ 1 y)))) (/ (* x (sqrt (sin y))) (sqrt y)) (/ (* x (sqrt (sin y))) (sqrt y)) (* x (* (sin y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))))) (* x (* (sin y) (sqrt (/ 1 y)))) (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* (sin y) x) (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* (sin y) x) (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* (sin y) x) (* (sin y) x) (* (sin y) x) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) x (/ x y) (* (/ (sin y) y) (cbrt x)) (* (/ (sin y) y) (sqrt x)) (* (/ (sin y) y) x) (* (sin y) x) (* (sin y) x) (* (sin y) x) (* (sin y) x) (* (- (sin y)) x) (* (sin y) x) (* (/ (sin y) (* (cbrt y) (cbrt y))) x) (* (/ (sin y) (sqrt y)) x) (* (sin y) x) (* (sin y) x) (* (sin y) x) (* (sin y) x) (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (- x (* 1/6 (* x (pow y 2)))) (* (/ (sin y) y) x) (* (/ (sin y) y) x) 1.057 * * * [progress]: adding candidates to table 1.202 * [progress]: [Phase 3 of 3] Extracting. 1.202 * * [regime]: Finding splitpoints for: (# # # # # #) 1.202 * * * [regime-changes]: Trying 3 branch expressions: ((/ (sin y) y) y x) 1.202 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # # #) 1.222 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.242 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.260 * * * [regime]: Found split indices: #