16.338 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* x (/ (sin y) y)) 0.032 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.034 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.035 * * [simplify]: iteration 2 : 16 enodes (cost 3 ) 0.036 * * [simplify]: iteration 3 : 17 enodes (cost 3 ) 0.037 * * [simplify]: iteration 4 : 17 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (* x (/ (sin y) y)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.056 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.056 * [taylor]: Taking taylor expansion of (sin y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of y in y 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 0.061 * [taylor]: Taking taylor expansion of y in y 0.068 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.068 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.068 * [taylor]: Taking taylor expansion of (sin (/ 1 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 y in y 0.069 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.069 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.073 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.073 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.073 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.073 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.073 * [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 -1 in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.085 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.085 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (sin y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.086 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (sin y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.088 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (sin y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.090 * [taylor]: Taking taylor expansion of (sin y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.109 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.109 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.110 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.110 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.110 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.110 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.110 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.122 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.122 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.122 * [taylor]: Taking taylor expansion of -1 in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.122 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.123 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.123 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.123 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.123 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.123 * [taylor]: Taking taylor expansion of -1 in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * * * [progress]: simplifying candidates 0.135 * [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)) (- (+ (* 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) 0.142 * * [simplify]: iteration 0 : 218 enodes (cost 334 ) 0.147 * * [simplify]: iteration 1 : 998 enodes (cost 302 ) 0.168 * * [simplify]: iteration 2 : 5001 enodes (cost 302 ) 0.170 * [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))) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* 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 (* x (sin y)) (* (cbrt x) (/ (sin y) y)) (* (sqrt x) (/ (sin y) y)) (* x (/ (sin y) y)) (* x (sin y)) (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)) 0.170 * * * [progress]: adding candidates to table 0.290 * * [progress]: iteration 2 / 4 0.290 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.311 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.314 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.345 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.345 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.345 * [taylor]: Taking taylor expansion of (sin y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.346 * [taylor]: Taking taylor expansion of (sin y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.353 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.353 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.353 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.354 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.358 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.358 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.358 * [taylor]: Taking taylor expansion of -1 in y 0.358 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.358 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.358 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.358 * [taylor]: Taking taylor expansion of -1 in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.358 * [taylor]: Taking taylor expansion of -1 in y 0.358 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.358 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.358 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.358 * [taylor]: Taking taylor expansion of -1 in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.369 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.369 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.369 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (sin y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (sin y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.377 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.377 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.377 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.377 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [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 (/ 1 (* (sin (/ 1 y)) y)) 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 y in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.384 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.384 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.384 * [taylor]: Taking taylor expansion of -1 in y 0.384 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.384 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.384 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.384 * [taylor]: Taking taylor expansion of -1 in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.385 * [taylor]: Taking taylor expansion of -1 in y 0.385 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.385 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.385 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.385 * [taylor]: Taking taylor expansion of -1 in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.391 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.391 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.391 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (sin y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.392 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (sin y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.394 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (sin y) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.400 * [taylor]: Taking taylor expansion of (sin y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 0.419 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.419 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.420 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.420 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 0.420 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 0.420 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 0.432 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.432 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.432 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.432 * [taylor]: Taking taylor expansion of -1 in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.433 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 0.433 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.434 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.434 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.434 * [taylor]: Taking taylor expansion of -1 in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ y (sin y)))) (log1p (/ 1 (/ y (sin y)))) (- 1) (- (- (log y) (log (sin y)))) (- (log (/ y (sin y)))) (- 0 (- (log y) (log (sin y)))) (- 0 (log (/ y (sin y)))) (- (log 1) (- (log y) (log (sin y)))) (- (log 1) (log (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (exp (/ 1 (/ y (sin y)))) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y)))) (/ (* (* 1 1) 1) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y)))) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y))))) (cbrt (/ 1 (/ y (sin y)))) (* (* (/ 1 (/ y (sin y))) (/ 1 (/ y (sin y)))) (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (- 1) (- (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cbrt 1) (cbrt (/ y (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (sin y)))) (/ (cbrt 1) (sqrt (/ y (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (sin y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (sin y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ y (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin y)))) (/ (cbrt 1) (/ y (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (sin y))) (/ (sqrt 1) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (sqrt 1) (cbrt (/ y (sin y)))) (/ (sqrt 1) (sqrt (/ y (sin y)))) (/ (sqrt 1) (sqrt (/ y (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt 1) (/ (cbrt y) (sin y))) (/ (sqrt 1) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) 1)) (/ (sqrt 1) (/ (sqrt y) (sin y))) (/ (sqrt 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ y (cbrt (sin y)))) (/ (sqrt 1) (/ 1 (sqrt (sin y)))) (/ (sqrt 1) (/ y (sqrt (sin y)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ y (sin y))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ y (sin y))) (/ (sqrt 1) y) (/ (sqrt 1) (/ 1 (sin y))) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (cbrt y) (cbrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ 1 (/ (cbrt y) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ 1 (/ (cbrt y) (sin y))) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ 1 (/ (sqrt y) (sin y))) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ y (cbrt (sin y)))) (/ 1 (/ 1 (sqrt (sin y)))) (/ 1 (/ y (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ 1 (/ y (sin y))) (/ 1 1) (/ 1 (/ y (sin y))) (/ 1 y) (/ 1 (/ 1 (sin y))) (/ 1 (/ y (sin y))) (/ (/ y (sin y)) 1) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ 1 (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 y) (/ (/ y (sin y)) (cbrt 1)) (/ (/ y (sin y)) (sqrt 1)) (/ (/ y (sin y)) 1) (/ 1 y) (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 (/ 1 (/ y (sin y))))) (log1p (* x (/ 1 (/ y (sin y))))) (* x (/ 1 (/ y (sin y)))) (+ (log x) (- (- (log y) (log (sin y))))) (+ (log x) (- (log (/ y (sin y))))) (+ (log x) (- 0 (- (log y) (log (sin y))))) (+ (log x) (- 0 (log (/ y (sin y))))) (+ (log x) (- (log 1) (- (log y) (log (sin y))))) (+ (log x) (- (log 1) (log (/ y (sin y))))) (+ (log x) (log (/ 1 (/ y (sin y))))) (log (* x (/ 1 (/ y (sin y))))) (exp (* x (/ 1 (/ y (sin y))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y))))) (* (* (* x x) x) (* (* (/ 1 (/ y (sin y))) (/ 1 (/ y (sin y)))) (/ 1 (/ y (sin y))))) (* (cbrt (* x (/ 1 (/ y (sin y))))) (cbrt (* x (/ 1 (/ y (sin y)))))) (cbrt (* x (/ 1 (/ y (sin y))))) (* (* (* x (/ 1 (/ y (sin y)))) (* x (/ 1 (/ y (sin y))))) (* x (/ 1 (/ y (sin y))))) (sqrt (* x (/ 1 (/ y (sin y))))) (sqrt (* x (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt x) (/ (sqrt 1) (sqrt (/ y (sin y))))) (* (sqrt x) (/ (sqrt 1) (sqrt (/ y (sin y))))) (* (sqrt x) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* (sqrt x) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* (sqrt x) (/ 1 (sqrt (/ y (sin y))))) (* (sqrt x) (/ 1 (sqrt (/ y (sin y))))) (* (sqrt x) (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* (sqrt x) (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* x (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))) (* x (sqrt (/ 1 (/ y (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) y)) (* x (/ (sqrt 1) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* x (/ (sqrt 1) (sqrt (/ y (sin y))))) (* x (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* x (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1))) (* x (/ (sqrt 1) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* x (/ (sqrt 1) (/ (sqrt y) 1))) (* x (/ (sqrt 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (sqrt 1) (/ 1 (sqrt (sin y))))) (* x (/ (sqrt 1) (/ 1 1))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) y)) (* x (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* x (/ 1 (sqrt (/ y (sin y))))) (* x (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* x (/ 1 (/ (* (cbrt y) (cbrt y)) 1))) (* x (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* x (/ 1 (/ (sqrt y) 1))) (* x (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ 1 (/ 1 (sqrt (sin y))))) (* x (/ 1 (/ 1 1))) (* x (/ 1 1)) (* x (/ 1 y)) (* x 1) (* x 1) (* x (/ 1 y)) (* (cbrt x) (/ 1 (/ y (sin y)))) (* (sqrt x) (/ 1 (/ y (sin y)))) (* x (/ 1 (/ y (sin y)))) (* x 1) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (+ (* 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) 0.456 * * [simplify]: iteration 0 : 576 enodes (cost 1226 ) 0.468 * * [simplify]: iteration 1 : 2906 enodes (cost 1067 ) 0.509 * * [simplify]: iteration 2 : 5001 enodes (cost 946 ) 0.514 * [simplify]: Simplified to: (expm1 (/ 1 (/ y (sin y)))) (log1p (/ 1 (/ y (sin y)))) (- 1) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (exp (/ 1 (/ y (sin y)))) (/ 1 (pow (/ y (sin y)) 3)) (/ 1 (pow (/ y (sin y)) 3)) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y))))) (cbrt (/ 1 (/ y (sin y)))) (/ 1 (pow (/ y (sin y)) 3)) (sqrt (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (- 1) (- (/ y (sin y))) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (sin y) y) (/ y (sin y)) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (sqrt (sin y)) 1 1 (/ 1 y) (/ y (sin y)) (/ y (sin y)) (/ y (sin y)) (/ 1 y) (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 (/ 1 (/ y (sin y))))) (log1p (* x (/ 1 (/ y (sin y))))) (/ x (/ y (sin y))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (- (log x) (log (/ y (sin y)))) (pow (exp x) (/ (sin y) y)) (pow (/ x (/ y (sin y))) 3) (pow (/ x (/ y (sin y))) 3) (pow (/ x (/ y (sin y))) 3) (* (cbrt (* x (/ 1 (/ y (sin y))))) (cbrt (* x (/ 1 (/ y (sin y)))))) (cbrt (* x (/ 1 (/ y (sin y))))) (pow (/ x (/ y (sin y))) 3) (sqrt (* x (/ 1 (/ y (sin y))))) (sqrt (* x (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt x) (sqrt (/ 1 (/ y (sin y))))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (/ (* (sqrt x) 1) (sqrt (/ y (sin y)))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt x) (sqrt y)) (sqrt (sin y))) (* x (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))) (* x (sqrt (/ 1 (/ y (sin y))))) (/ 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)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x (/ x y) (/ 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)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x (/ x y) (/ 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)) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x (/ x y) x x (/ x y) (/ (cbrt x) (/ y (sin y))) (/ (sqrt x) (/ y (sin y))) (/ x (/ y (sin y))) x (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (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 (/ y (sin y))) (/ x (/ y (sin y))) 0.515 * * * [progress]: adding candidates to table 0.822 * * [progress]: iteration 3 / 4 0.822 * * * [progress]: picking best candidate 0.834 * * * * [pick]: Picked # 0.834 * * * [progress]: localizing error 0.842 * * * [progress]: generating rewritten candidates 0.842 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.853 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.856 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.948 * * * [progress]: generating series expansions 0.948 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.949 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.949 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.949 * [taylor]: Taking taylor expansion of (sin y) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.955 * [taylor]: Taking taylor expansion of (sin y) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.963 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.963 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.963 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.963 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.967 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.967 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.967 * [taylor]: Taking taylor expansion of -1 in y 0.967 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.967 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.967 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.967 * [taylor]: Taking taylor expansion of -1 in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.968 * [taylor]: Taking taylor expansion of -1 in y 0.968 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.968 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.968 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.968 * [taylor]: Taking taylor expansion of -1 in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.979 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.979 * [approximate]: Taking taylor expansion of (/ 1 (sin y)) in (y) around 0 0.979 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.979 * [taylor]: Taking taylor expansion of (sin y) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.980 * [taylor]: Taking taylor expansion of (sin y) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.987 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in (y) around 0 0.987 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.987 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.987 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.989 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in (y) around 0 0.989 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.989 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.989 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.989 * [taylor]: Taking taylor expansion of -1 in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.989 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.989 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.989 * [taylor]: Taking taylor expansion of -1 in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.991 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.991 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 0.991 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 0.991 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 0.991 * [taylor]: Taking taylor expansion of x in y 0.991 * [taylor]: Taking taylor expansion of (sin y) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.992 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (sin y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 0.994 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (sin y) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.996 * [taylor]: Taking taylor expansion of (sin y) 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 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 1.015 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 1.015 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.015 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.015 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.015 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.016 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.016 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.016 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.027 * [taylor]: Taking taylor expansion of 0 in y 1.027 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 1.027 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 1.027 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.027 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.027 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.027 * [taylor]: Taking taylor expansion of -1 in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.028 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.028 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.028 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.028 * [taylor]: Taking taylor expansion of -1 in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.028 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.028 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.028 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.028 * [taylor]: Taking taylor expansion of -1 in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.029 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.029 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.029 * [taylor]: Taking taylor expansion of -1 in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.042 * * * [progress]: simplifying candidates 1.050 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 y) (/ 1 (sin y)))) (log1p (/ (/ 1 y) (/ 1 (sin y)))) (- (- (log y)) (- (log (sin y)))) (- (- (log y)) (- 0 (log (sin y)))) (- (- (log y)) (- (log 1) (log (sin y)))) (- (- (log y)) (log (/ 1 (sin y)))) (- (- 0 (log y)) (- (log (sin y)))) (- (- 0 (log y)) (- 0 (log (sin y)))) (- (- 0 (log y)) (- (log 1) (log (sin y)))) (- (- 0 (log y)) (log (/ 1 (sin y)))) (- (- (log 1) (log y)) (- (log (sin y)))) (- (- (log 1) (log y)) (- 0 (log (sin y)))) (- (- (log 1) (log y)) (- (log 1) (log (sin y)))) (- (- (log 1) (log y)) (log (/ 1 (sin y)))) (- (log (/ 1 y)) (- (log (sin y)))) (- (log (/ 1 y)) (- 0 (log (sin y)))) (- (log (/ 1 y)) (- (log 1) (log (sin y)))) (- (log (/ 1 y)) (log (/ 1 (sin y)))) (log (/ (/ 1 y) (/ 1 (sin y)))) (exp (/ (/ 1 y) (/ 1 (sin y)))) (/ (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* (sin y) (sin y)) (sin y)))) (/ (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ 1 (sin y)) (/ 1 (sin y))) (/ 1 (sin y)))) (/ (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* 1 1) 1) (* (* (sin y) (sin y)) (sin y)))) (/ (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ 1 (sin y)) (/ 1 (sin y))) (/ 1 (sin y)))) (* (cbrt (/ (/ 1 y) (/ 1 (sin y)))) (cbrt (/ (/ 1 y) (/ 1 (sin y))))) (cbrt (/ (/ 1 y) (/ 1 (sin y)))) (* (* (/ (/ 1 y) (/ 1 (sin y))) (/ (/ 1 y) (/ 1 (sin y)))) (/ (/ 1 y) (/ 1 (sin y)))) (sqrt (/ (/ 1 y) (/ 1 (sin y)))) (sqrt (/ (/ 1 y) (/ 1 (sin y)))) (- (/ 1 y)) (- (/ 1 (sin y))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ (cbrt (/ 1 y)) (cbrt (/ 1 (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (sqrt (/ 1 (sin y)))) (/ (cbrt (/ 1 y)) (sqrt (/ 1 (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt (/ 1 y)) (/ (cbrt 1) (cbrt (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (/ (cbrt (/ 1 y)) (/ (cbrt 1) (sqrt (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 y)) (/ (cbrt 1) (sin y))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt (/ 1 y)) (/ (sqrt 1) (cbrt (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (sqrt 1) (sqrt (sin y)))) (/ (cbrt (/ 1 y)) (/ (sqrt 1) (sqrt (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 y)) (/ (sqrt 1) (sin y))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt (/ 1 y)) (/ 1 (cbrt (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ 1 (sqrt (sin y)))) (/ (cbrt (/ 1 y)) (/ 1 (sqrt (sin y)))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (/ 1 1)) (/ (cbrt (/ 1 y)) (/ 1 (sin y))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) 1) (/ (cbrt (/ 1 y)) (/ 1 (sin y))) (/ (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) 1) (/ (cbrt (/ 1 y)) (/ 1 (sin y))) (/ (sqrt (/ 1 y)) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ (sqrt (/ 1 y)) (cbrt (/ 1 (sin y)))) (/ (sqrt (/ 1 y)) (sqrt (/ 1 (sin y)))) (/ (sqrt (/ 1 y)) (sqrt (/ 1 (sin y)))) (/ (sqrt (/ 1 y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt (/ 1 y)) (/ (cbrt 1) (cbrt (sin y)))) (/ (sqrt (/ 1 y)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (/ (sqrt (/ 1 y)) (/ (cbrt 1) (sqrt (sin y)))) (/ (sqrt (/ 1 y)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 y)) (/ (cbrt 1) (sin y))) (/ (sqrt (/ 1 y)) (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt (/ 1 y)) (/ (sqrt 1) (cbrt (sin y)))) (/ (sqrt (/ 1 y)) (/ (sqrt 1) (sqrt (sin y)))) (/ (sqrt (/ 1 y)) (/ (sqrt 1) (sqrt (sin y)))) (/ (sqrt (/ 1 y)) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 y)) (/ (sqrt 1) (sin y))) (/ (sqrt (/ 1 y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt (/ 1 y)) (/ 1 (cbrt (sin y)))) (/ (sqrt (/ 1 y)) (/ 1 (sqrt (sin y)))) (/ (sqrt (/ 1 y)) (/ 1 (sqrt (sin y)))) (/ (sqrt (/ 1 y)) (/ 1 1)) (/ (sqrt (/ 1 y)) (/ 1 (sin y))) (/ (sqrt (/ 1 y)) 1) (/ (sqrt (/ 1 y)) (/ 1 (sin y))) (/ (sqrt (/ 1 y)) 1) (/ (sqrt (/ 1 y)) (/ 1 (sin y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ (/ (cbrt 1) (cbrt y)) (cbrt (/ 1 (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (sqrt (/ 1 (sin y)))) (/ (/ (cbrt 1) (cbrt y)) (sqrt (/ 1 (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (/ (cbrt 1) (cbrt y)) (/ (cbrt 1) (cbrt (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (/ (/ (cbrt 1) (cbrt y)) (/ (cbrt 1) (sqrt (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (cbrt y)) (/ (cbrt 1) (sin y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (/ (cbrt 1) (cbrt y)) (/ (sqrt 1) (cbrt (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ (sqrt 1) (sqrt (sin y)))) (/ (/ (cbrt 1) (cbrt y)) (/ (sqrt 1) (sqrt (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (cbrt y)) (/ (sqrt 1) (sin y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (/ (cbrt 1) (cbrt y)) (/ 1 (cbrt (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ 1 (sqrt (sin y)))) (/ (/ (cbrt 1) (cbrt y)) (/ 1 (sqrt (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) (/ 1 1)) (/ (/ (cbrt 1) (cbrt y)) (/ 1 (sin y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt 1) (cbrt y)) (/ 1 (sin y))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt 1) (cbrt y)) (/ 1 (sin y))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ (/ (cbrt 1) (sqrt y)) (cbrt (/ 1 (sin y)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (sqrt (/ 1 (sin y)))) (/ (/ (cbrt 1) (sqrt y)) (sqrt (/ 1 (sin 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y)) x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y)))) x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) (sqrt (sin y))) x) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) x) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) x) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt y)) x) (/ (* x (* (cbrt 1) (cbrt 1))) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ (* x (* (cbrt 1) (cbrt 1))) (sqrt (/ 1 (sin y)))) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))) x) (* (* (* (cbrt 1) (cbrt 1)) (sqrt (sin y))) x) (* (* (cbrt 1) (cbrt 1)) x) (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))) x) (* (* (* (cbrt 1) (cbrt 1)) (sqrt (sin y))) x) (* (* (cbrt 1) (cbrt 1)) x) (* (* (cbrt 1) (cbrt 1)) x) (* (* (cbrt 1) (cbrt 1)) x) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt (/ 1 (sin y))))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y))))) (/ (* x (/ 1 (* (cbrt y) (cbrt y)))) (* (cbrt 1) (cbrt 1))) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (sqrt (sin y))) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (sqrt (sin y))) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* x (/ (/ 1 (sqrt y)) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))))) (* x (/ (/ 1 (sqrt y)) (sqrt (/ 1 (sin y))))) (* x (/ (/ 1 (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (/ 1 (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y))))) (/ (* x (/ 1 (sqrt y))) (* (cbrt 1) (cbrt 1))) (* (* x (/ 1 (sqrt y))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (sqrt y))) (sqrt (sin y))) (* (/ 1 (sqrt y)) x) (* (* x (/ 1 (sqrt y))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (sqrt y))) (sqrt (sin y))) (* (/ 1 (sqrt y)) x) (* (/ 1 (sqrt y)) x) (* (/ 1 (sqrt y)) x) (/ x (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ x (sqrt (/ 1 (sin y)))) (/ x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (/ x (* (cbrt 1) (cbrt 1))) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x x (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt (/ 1 (sin y))))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y))))) (/ (* x (/ 1 (* (cbrt y) (cbrt y)))) (* (cbrt 1) (cbrt 1))) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (sqrt (sin y))) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (* (cbrt y) (cbrt y)))) (sqrt (sin y))) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* x (/ (/ 1 (sqrt y)) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))))) (* x (/ (/ 1 (sqrt y)) (sqrt (/ 1 (sin y))))) (* x (/ (/ 1 (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* x (/ (/ 1 (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y))))) (/ (* x (/ 1 (sqrt y))) (* (cbrt 1) (cbrt 1))) (* (* x (/ 1 (sqrt y))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (sqrt y))) (sqrt (sin y))) (* (/ 1 (sqrt y)) x) (* (* x (/ 1 (sqrt y))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (* x (/ 1 (sqrt y))) (sqrt (sin y))) (* (/ 1 (sqrt y)) x) (* (/ 1 (sqrt y)) x) (* (/ 1 (sqrt y)) x) (/ x (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ x (sqrt (/ 1 (sin y)))) (/ x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (/ x (* (cbrt 1) (cbrt 1))) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x x (/ x (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ x (sqrt (/ 1 (sin y)))) (/ x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (/ x (* (cbrt 1) (cbrt 1))) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x x (/ x (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ x (sqrt (/ 1 (sin y)))) (/ x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (/ x (* (cbrt 1) (cbrt 1))) (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x (* (* (cbrt (sin y)) (cbrt (sin y))) x) (* (sqrt (sin y)) x) x x x x (/ x y) (/ x y) (* (* (/ 1 y) (sin y)) (cbrt x)) (* (* (/ 1 y) (sin y)) (sqrt x)) (* (* (/ 1 y) (sin y)) x) (/ x y) (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (fma (pow y 3) 7/360 (fma y 1/6 (/ 1 y))) (/ 1 (sin y)) (/ 1 (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) 1.116 * * * [progress]: adding candidates to table 1.862 * * [progress]: iteration 4 / 4 1.862 * * * [progress]: picking best candidate 1.873 * * * * [pick]: Picked # 1.873 * * * [progress]: localizing error 1.878 * * * [progress]: generating rewritten candidates 1.878 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.882 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.886 * * * [progress]: generating series expansions 1.887 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.887 * [approximate]: Taking taylor expansion of (/ (* x (sin y)) y) in (x y) around 0 1.887 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in y 1.887 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 1.887 * [taylor]: Taking taylor expansion of x in y 1.887 * [taylor]: Taking taylor expansion of (sin y) in y 1.887 * [taylor]: Taking taylor expansion of y in y 1.887 * [taylor]: Taking taylor expansion of y in y 1.888 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 1.888 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of (sin y) in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.890 * [taylor]: Taking taylor expansion of (/ (* x (sin y)) y) in x 1.890 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of (sin y) in x 1.890 * [taylor]: Taking taylor expansion of y in x 1.890 * [taylor]: Taking taylor expansion of y in x 1.892 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 1.892 * [taylor]: Taking taylor expansion of (sin y) in y 1.892 * [taylor]: Taking taylor expansion of y in y 1.892 * [taylor]: Taking taylor expansion of y in y 1.895 * [taylor]: Taking taylor expansion of 0 in y 1.899 * [taylor]: Taking taylor expansion of 0 in y 1.905 * [taylor]: Taking taylor expansion of 0 in y 1.911 * [taylor]: Taking taylor expansion of 0 in y 1.911 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in (x y) around 0 1.911 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in y 1.911 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.911 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.911 * [taylor]: Taking taylor expansion of y in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.912 * [taylor]: Taking taylor expansion of x in y 1.912 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.912 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.912 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.913 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 y)) y) x) in x 1.913 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in x 1.913 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.913 * [taylor]: Taking taylor expansion of y in x 1.913 * [taylor]: Taking taylor expansion of y in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 1.913 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.913 * [taylor]: Taking taylor expansion of y in y 1.913 * [taylor]: Taking taylor expansion of y in y 1.916 * [taylor]: Taking taylor expansion of 0 in y 1.919 * [taylor]: Taking taylor expansion of 0 in y 1.924 * [taylor]: Taking taylor expansion of 0 in y 1.924 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in (x y) around 0 1.924 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in y 1.924 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.924 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.924 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.924 * [taylor]: Taking taylor expansion of -1 in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.925 * [taylor]: Taking taylor expansion of y in y 1.925 * [taylor]: Taking taylor expansion of x in y 1.925 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.925 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.925 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.925 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.925 * [taylor]: Taking taylor expansion of -1 in x 1.925 * [taylor]: Taking taylor expansion of y in x 1.925 * [taylor]: Taking taylor expansion of y in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) x) in x 1.926 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in x 1.926 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.926 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.926 * [taylor]: Taking taylor expansion of -1 in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 1.926 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.926 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.926 * [taylor]: Taking taylor expansion of -1 in y 1.926 * [taylor]: Taking taylor expansion of y in y 1.926 * [taylor]: Taking taylor expansion of y in y 1.929 * [taylor]: Taking taylor expansion of 0 in y 1.932 * [taylor]: Taking taylor expansion of 0 in y 1.937 * [taylor]: Taking taylor expansion of 0 in y 1.937 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.937 * [approximate]: Taking taylor expansion of (* x (sin y)) in (x y) around 0 1.937 * [taylor]: Taking taylor expansion of (* x (sin y)) in y 1.937 * [taylor]: Taking taylor expansion of x in y 1.937 * [taylor]: Taking taylor expansion of (sin y) in y 1.937 * [taylor]: Taking taylor expansion of y in y 1.937 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (sin y) in x 1.937 * [taylor]: Taking taylor expansion of y in x 1.938 * [taylor]: Taking taylor expansion of (* x (sin y)) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [taylor]: Taking taylor expansion of (sin y) in x 1.938 * [taylor]: Taking taylor expansion of y in x 1.938 * [taylor]: Taking taylor expansion of 0 in y 1.940 * [taylor]: Taking taylor expansion of (sin y) in y 1.940 * [taylor]: Taking taylor expansion of y in y 1.942 * [taylor]: Taking taylor expansion of 0 in y 1.945 * [taylor]: Taking taylor expansion of 0 in y 1.950 * [taylor]: Taking taylor expansion of 0 in y 1.950 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in (x y) around 0 1.950 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in y 1.950 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.950 * [taylor]: Taking taylor expansion of y in y 1.951 * [taylor]: Taking taylor expansion of x in y 1.951 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in x 1.951 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.951 * [taylor]: Taking taylor expansion of y in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.951 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) x) in x 1.951 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.951 * [taylor]: Taking taylor expansion of y in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.951 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.951 * [taylor]: Taking taylor expansion of y in y 1.957 * [taylor]: Taking taylor expansion of 0 in y 1.960 * [taylor]: Taking taylor expansion of 0 in y 1.964 * [taylor]: Taking taylor expansion of 0 in y 1.964 * [approximate]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in (x y) around 0 1.964 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in y 1.964 * [taylor]: Taking taylor expansion of -1 in y 1.964 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in y 1.964 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.964 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.964 * [taylor]: Taking taylor expansion of -1 in y 1.964 * [taylor]: Taking taylor expansion of y in y 1.965 * [taylor]: Taking taylor expansion of x in y 1.965 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in x 1.965 * [taylor]: Taking taylor expansion of -1 in x 1.965 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in x 1.965 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.965 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.965 * [taylor]: Taking taylor expansion of -1 in x 1.965 * [taylor]: Taking taylor expansion of y in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) x)) in x 1.965 * [taylor]: Taking taylor expansion of -1 in x 1.965 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) x) in x 1.965 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.965 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.965 * [taylor]: Taking taylor expansion of -1 in x 1.965 * [taylor]: Taking taylor expansion of y in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (* -1 (sin (/ -1 y))) in y 1.966 * [taylor]: Taking taylor expansion of -1 in y 1.966 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.966 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.966 * [taylor]: Taking taylor expansion of -1 in y 1.966 * [taylor]: Taking taylor expansion of y in y 1.969 * [taylor]: Taking taylor expansion of 0 in y 1.972 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [taylor]: Taking taylor expansion of 0 in y 1.977 * * * [progress]: simplifying candidates 1.978 * [simplify]: Simplifying using # : (expm1 (/ (* x (sin y)) y)) (log1p (/ (* x (sin y)) y)) (- (+ (log x) (log (sin y))) (log y)) (- (log (* x (sin y))) (log y)) (log (/ (* x (sin y)) y)) (exp (/ (* x (sin y)) y)) (/ (* (* (* x x) x) (* (* (sin y) (sin y)) (sin y))) (* (* y y) y)) (/ (* (* (* x (sin y)) (* x (sin y))) (* x (sin y))) (* (* y 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)) (- (* x (sin y))) (- y) (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ x (sqrt y)) (/ (sin y) (sqrt y)) (/ x 1) (/ (sin y) y) (/ 1 y) (/ y (* x (sin y))) (/ (* x (sin y)) (* (cbrt y) (cbrt y))) (/ (* x (sin y)) (sqrt y)) (/ (* x (sin y)) 1) (/ y (sin y)) (expm1 (* x (sin y))) (log1p (* x (sin y))) (* x (sin y)) (+ (log x) (log (sin y))) (log (* x (sin y))) (exp (* x (sin y))) (* (* (* x x) x) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (* x (sin y))) (cbrt (* x (sin y)))) (cbrt (* x (sin y))) (* (* (* x (sin y)) (* x (sin y))) (* x (sin y))) (sqrt (* x (sin y))) (sqrt (* x (sin y))) (* (sqrt x) (sqrt (sin y))) (* (sqrt x) (sqrt (sin y))) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) (* x 1) (* (cbrt x) (sin y)) (* (sqrt x) (sin y)) (* x (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) (* x y) (* x (sin y)) (* x (sin y)) 1.982 * * [simplify]: iteration 0 : 158 enodes (cost 203 ) 1.985 * * [simplify]: iteration 1 : 805 enodes (cost 172 ) 2.005 * * [simplify]: iteration 2 : 5001 enodes (cost 172 ) 2.006 * [simplify]: Simplified to: (expm1 (/ (* x (sin y)) y)) (log1p (/ (* 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)) (- (* x (sin y))) (- y) (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ x (sqrt y)) (/ (sin y) (pow y 1/2)) x (/ (sin y) y) (/ 1 y) (/ y (* x (sin y))) (/ (* x (sin y)) (* (cbrt y) (cbrt y))) (/ (* x (sin y)) (sqrt y)) (* x (sin y)) (/ y (sin y)) (expm1 (* x (sin y))) (log1p (* x (sin y))) (* x (sin y)) (log (* x (sin y))) (log (* x (sin y))) (exp (* x (sin y))) (pow (* x (sin y)) 3) (* (cbrt (* x (sin y))) (cbrt (* x (sin y)))) (cbrt (* x (sin y))) (pow (* x (sin y)) 3) (sqrt (* x (sin y))) (sqrt (* x (sin y))) (* (sqrt x) (sqrt (sin y))) (* (sqrt x) (sqrt (sin y))) (* x (* (cbrt (sin y)) (cbrt (sin y)))) (* x (sqrt (sin y))) x (* (cbrt x) (sin y)) (* (sqrt x) (sin y)) (* x (sin y)) (- x (* 1/6 (* x (pow y 2)))) (/ (* x (sin y)) y) (/ (* x (sin y)) y) (* x y) (* x (sin y)) (* x (sin y)) 2.006 * * * [progress]: adding candidates to table 2.084 * [progress]: [Phase 3 of 3] Extracting. 2.084 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.085 * * * [regime-changes]: Trying 3 branch expressions: ((/ (sin y) y) y x) 2.085 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # # # #) 2.110 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.133 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.154 * * * [regime]: Found split indices: #