6.156 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.088 * [simplify]: Simplifying using # : (* (cosh x) (/ (sin y) y)) 0.091 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.092 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.094 * * [simplify]: iteration 2 : 56 enodes (cost 4 ) 0.095 * * [simplify]: iteration 3 : 102 enodes (cost 4 ) 0.097 * * [simplify]: iteration 4 : 153 enodes (cost 4 ) 0.100 * * [simplify]: iteration 5 : 334 enodes (cost 4 ) 0.104 * * [simplify]: iteration 6 : 924 enodes (cost 4 ) 0.114 * * [simplify]: iteration 7 : 1912 enodes (cost 4 ) 0.145 * * [simplify]: iteration 8 : 5001 enodes (cost 4 ) 0.145 * [simplify]: Simplified to: (* (cosh x) (/ (sin y) y)) 0.145 * * [progress]: iteration 1 / 4 0.145 * * * [progress]: picking best candidate 0.147 * * * * [pick]: Picked # 0.147 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.158 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.158 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.158 * [taylor]: Taking taylor expansion of (sin y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.159 * [taylor]: Taking taylor expansion of (sin y) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.166 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.166 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.166 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.166 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.171 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.171 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.171 * [taylor]: Taking taylor expansion of -1 in y 0.171 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.171 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.171 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.171 * [taylor]: Taking taylor expansion of -1 in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.171 * [taylor]: Taking taylor expansion of -1 in y 0.171 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.171 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.171 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.171 * [taylor]: Taking taylor expansion of -1 in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.183 * * * [progress]: simplifying candidates 0.183 * [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)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) 0.186 * * [simplify]: iteration 0 : 108 enodes (cost 149 ) 0.189 * * [simplify]: iteration 1 : 349 enodes (cost 138 ) 0.196 * * [simplify]: iteration 2 : 1394 enodes (cost 138 ) 0.231 * * [simplify]: iteration 3 : 5002 enodes (cost 138 ) 0.232 * [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)) (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) 0.232 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 2 / 4 0.299 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.321 * * * [progress]: generating rewritten candidates 0.321 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.323 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.332 * * * [progress]: generating series expansions 0.332 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.332 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.332 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (sin y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (sin y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.341 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.341 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.341 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.341 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.342 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.342 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.347 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.347 * [taylor]: Taking taylor expansion of -1 in y 0.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.347 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.347 * [taylor]: Taking taylor expansion of -1 in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.348 * [taylor]: Taking taylor expansion of -1 in y 0.348 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.348 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.348 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.348 * [taylor]: Taking taylor expansion of -1 in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.354 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.354 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.354 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.354 * [taylor]: Taking taylor expansion of (sin y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.355 * [taylor]: Taking taylor expansion of (sin y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.362 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.362 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.362 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.362 * [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 0.363 * [taylor]: Taking taylor expansion of y in y 0.367 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.367 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.367 * [taylor]: Taking taylor expansion of -1 in y 0.367 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.367 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.367 * [taylor]: Taking taylor expansion of -1 in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.367 * [taylor]: Taking taylor expansion of -1 in y 0.367 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.367 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.367 * [taylor]: Taking taylor expansion of -1 in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.379 * * * [progress]: simplifying candidates 0.383 * [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 (/ 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) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) 0.389 * * [simplify]: iteration 0 : 345 enodes (cost 731 ) 0.397 * * [simplify]: iteration 1 : 1556 enodes (cost 644 ) 0.423 * * [simplify]: iteration 2 : 5002 enodes (cost 570 ) 0.426 * [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 (/ 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))) (/ (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)) (/ (cbrt (sin y)) (sqrt 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))) (/ (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)) (/ (cbrt (sin y)) (sqrt 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))) (/ (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)) (/ (cbrt (sin y)) (sqrt 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) (fma 1/6 (pow y 2) (fma 7/360 (pow y 4) 1)) (/ y (sin y)) (/ y (sin y)) (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) 0.427 * * * [progress]: adding candidates to table 0.607 * * [progress]: iteration 3 / 4 0.607 * * * [progress]: picking best candidate 0.619 * * * * [pick]: Picked # 0.619 * * * [progress]: localizing error 0.627 * * * [progress]: generating rewritten candidates 0.627 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.637 * * * [progress]: generating series expansions 0.637 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.637 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.637 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.637 * [taylor]: Taking taylor expansion of (sin y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.638 * [taylor]: Taking taylor expansion of (sin y) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.648 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.648 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.648 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.648 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.653 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.653 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.653 * [taylor]: Taking taylor expansion of -1 in y 0.653 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.653 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.653 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.653 * [taylor]: Taking taylor expansion of -1 in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.653 * [taylor]: Taking taylor expansion of -1 in y 0.653 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.653 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.653 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.653 * [taylor]: Taking taylor expansion of -1 in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.665 * * * [progress]: simplifying candidates 0.666 * [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) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) 0.669 * * [simplify]: iteration 0 : 201 enodes (cost 197 ) 0.674 * * [simplify]: iteration 1 : 867 enodes (cost 166 ) 0.695 * * [simplify]: iteration 2 : 5001 enodes (cost 148 ) 0.696 * [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)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (* (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)) y) (/ (sqrt (sin y)) y) (/ (sin y) y) (sin y) (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) 0.696 * * * [progress]: adding candidates to table 0.770 * * [progress]: iteration 4 / 4 0.770 * * * [progress]: picking best candidate 0.780 * * * * [pick]: Picked # 0.780 * * * [progress]: localizing error 0.792 * * * [progress]: generating rewritten candidates 0.792 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.801 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.810 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 0.815 * * * [progress]: generating series expansions 0.815 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.816 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.816 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (sin y) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (sin y) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.824 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.824 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.824 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.824 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.825 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.825 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.825 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.831 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.831 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.831 * [taylor]: Taking taylor expansion of -1 in y 0.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.831 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.831 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.831 * [taylor]: Taking taylor expansion of -1 in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.832 * [taylor]: Taking taylor expansion of -1 in y 0.832 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.832 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.832 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.832 * [taylor]: Taking taylor expansion of -1 in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.838 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.838 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.838 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.838 * [taylor]: Taking taylor expansion of (sin y) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.838 * [taylor]: Taking taylor expansion of (sin y) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.846 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.846 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.846 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.846 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.851 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.851 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.851 * [taylor]: Taking taylor expansion of -1 in y 0.851 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.851 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.851 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.851 * [taylor]: Taking taylor expansion of -1 in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.851 * [taylor]: Taking taylor expansion of -1 in y 0.851 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.851 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.851 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.851 * [taylor]: Taking taylor expansion of -1 in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.863 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 0.863 * [approximate]: Taking taylor expansion of (/ 1 (sin y)) in (y) around 0 0.863 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.863 * [taylor]: Taking taylor expansion of (sin y) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.864 * [taylor]: Taking taylor expansion of (sin y) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.874 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in (y) around 0 0.875 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.875 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.875 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.877 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in (y) around 0 0.877 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.877 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.877 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.877 * [taylor]: Taking taylor expansion of -1 in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.877 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.877 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.877 * [taylor]: Taking taylor expansion of -1 in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.879 * * * [progress]: simplifying candidates 0.880 * [simplify]: Simplifying using # : (expm1 (* y (/ 1 (sin y)))) (log1p (* y (/ 1 (sin y)))) (* 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)))) (log (* y (/ 1 (sin y)))) (exp (* y (/ 1 (sin y)))) (* (* (* y y) y) (/ (* (* 1 1) 1) (* (* (sin y) (sin y)) (sin y)))) (* (* (* y y) y) (* (* (/ 1 (sin y)) (/ 1 (sin y))) (/ 1 (sin y)))) (* (cbrt (* y (/ 1 (sin y)))) (cbrt (* y (/ 1 (sin y))))) (cbrt (* y (/ 1 (sin y)))) (* (* (* y (/ 1 (sin y))) (* y (/ 1 (sin y)))) (* y (/ 1 (sin y)))) (sqrt (* y (/ 1 (sin y)))) (sqrt (* y (/ 1 (sin y)))) (* (sqrt y) (sqrt (/ 1 (sin y)))) (* (sqrt y) (sqrt (/ 1 (sin y)))) (* (sqrt y) (/ (sqrt 1) (sqrt (sin y)))) (* (sqrt y) (/ (sqrt 1) (sqrt (sin y)))) (* (sqrt y) (/ 1 (sqrt (sin y)))) (* (sqrt y) (/ 1 (sqrt (sin y)))) (* y (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (* y (sqrt (/ 1 (sin y)))) (* y (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))))) (* y (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y)))) (* y (/ (* (cbrt 1) (cbrt 1)) 1)) (* y (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y))))) (* y (/ (sqrt 1) (sqrt (sin y)))) (* y (/ (sqrt 1) 1)) (* y (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (* y (/ 1 (sqrt (sin y)))) (* y (/ 1 1)) (* y 1) (* y 1) (* (cbrt y) (/ 1 (sin y))) (* (sqrt y) (/ 1 (sin y))) (* y (/ 1 (sin y))) (* y 1) (expm1 (/ 1 (* y (/ 1 (sin y))))) (log1p (/ 1 (* y (/ 1 (sin y))))) (- 1) (- 1) (- (+ (log y) (- (log (sin y))))) (- (+ (log y) (- 0 (log (sin y))))) (- (+ (log y) (- (log 1) (log (sin y))))) (- (+ (log y) (log (/ 1 (sin y))))) (- (log (* y (/ 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))))) (- 0 (log (* y (/ 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) (log (* y (/ 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 1) 1) (* (* (* y (/ 1 (sin y))) (* y (/ 1 (sin y)))) (* 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) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (sin y))) (/ (sqrt 1) y) (/ (sqrt 1) (/ 1 (sin y))) (/ 1 y) (/ 1 (/ 1 (sin y))) (/ 1 (* y (/ 1 (sin y)))) (/ (* y (/ 1 (sin y))) 1) (/ 1 y) (/ (* y (/ 1 (sin y))) (cbrt 1)) (/ (* y (/ 1 (sin y))) (sqrt 1)) (/ (* y (/ 1 (sin y))) 1) (/ 1 y) (/ 1 (* y 1)) (expm1 (/ 1 (sin y))) (log1p (/ 1 (sin y))) (- 1) (- (log (sin y))) (- 0 (log (sin y))) (- (log 1) (log (sin y))) (log (/ 1 (sin y))) (exp (/ 1 (sin y))) (/ (* (* 1 1) 1) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))) (cbrt (/ 1 (sin y))) (* (* (/ 1 (sin y)) (/ 1 (sin y))) (/ 1 (sin y))) (sqrt (/ 1 (sin y))) (sqrt (/ 1 (sin y))) (- 1) (- (sin y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt 1) (cbrt (sin y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin y))) (/ (cbrt 1) (sqrt (sin y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin y)) (/ (sqrt 1) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt 1) (cbrt (sin y))) (/ (sqrt 1) (sqrt (sin y))) (/ (sqrt 1) (sqrt (sin y))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ 1 (sqrt (sin y))) (/ 1 1) (/ 1 (sin y)) (/ 1 (sin y)) (/ (sin y) 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (sqrt (sin y))) (/ 1 1) (/ (sin y) (cbrt 1)) (/ (sin y) (sqrt 1)) (/ (sin y) 1) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (+ (* 7/360 (pow y 3)) (+ (/ 1 y) (* 1/6 y))) (/ 1 (sin y)) (/ 1 (sin y)) 0.887 * * [simplify]: iteration 0 : 349 enodes (cost 560 ) 0.894 * * [simplify]: iteration 1 : 1599 enodes (cost 453 ) 0.922 * * [simplify]: iteration 2 : 5002 enodes (cost 410 ) 0.925 * [simplify]: Simplified to: (expm1 (* y (/ 1 (sin y)))) (log1p (* y (/ 1 (sin y)))) (/ y (sin y)) (log (/ y (sin y))) (log (/ y (sin y))) (log (/ y (sin y))) (log (/ y (sin y))) (log (/ y (sin y))) (exp (/ y (sin y))) (pow (/ y (sin y)) 3) (pow (/ y (sin y)) 3) (* (cbrt (* y (/ 1 (sin y)))) (cbrt (* y (/ 1 (sin y))))) (cbrt (* y (/ 1 (sin y)))) (pow (/ y (sin y)) 3) (sqrt (* y (/ 1 (sin y)))) (sqrt (* y (/ 1 (sin y)))) (* (sqrt y) (sqrt (/ 1 (sin y)))) (* (sqrt y) (sqrt (/ 1 (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) (sqrt (sin y))) (* y (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (* y (sqrt (/ 1 (sin y)))) (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) y (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) y (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) y y y (/ (cbrt y) (sin y)) (/ (sqrt y) (sin y)) (/ y (sin y)) y (expm1 (/ 1 (* y (/ 1 (sin y))))) (log1p (/ 1 (* y (/ 1 (sin y))))) (- 1) (- 1) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (- (log (/ y (sin y)))) (pow (exp (/ 1 y)) (sin y)) (pow (/ (sin y) y) 3) (pow (/ (sin y) y) 3) (pow (/ (sin y) y) 3) (* (cbrt (/ 1 (* y (/ 1 (sin y))))) (cbrt (/ 1 (* y (/ 1 (sin y)))))) (cbrt (/ 1 (* y (/ 1 (sin y))))) (pow (/ (sin y) y) 3) (sqrt (/ 1 (* y (/ 1 (sin y))))) (sqrt (/ 1 (* y (/ 1 (sin y))))) (- 1) (/ (- y) (sin y)) (/ 1 y) (sin y) (/ 1 y) (sin y) (/ 1 y) (sin y) (/ (sin y) y) (/ y (sin y)) (/ 1 y) (/ y (sin y)) (/ y (sin y)) (/ y (sin y)) (/ 1 y) (/ 1 y) (expm1 (/ 1 (sin y))) (log1p (/ 1 (sin y))) (- 1) (log (/ 1 (sin y))) (log (/ 1 (sin y))) (log (/ 1 (sin y))) (log (/ 1 (sin y))) (exp (/ 1 (sin y))) (/ 1 (pow (sin y) 3)) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))) (cbrt (/ 1 (sin y))) (/ 1 (pow (sin y) 3)) (sqrt (/ 1 (sin y))) (sqrt (/ 1 (sin y))) (- 1) (- (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ 1 (sqrt (sin y))) 1 (/ 1 (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ 1 (sqrt (sin y))) 1 (/ 1 (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ 1 (sqrt (sin y))) 1 (/ 1 (sin y)) (/ 1 (sin y)) (sin y) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ 1 (sqrt (sin y))) 1 (sin y) (sin y) (sin y) (fma 1/6 (pow y 2) (fma 7/360 (pow y 4) 1)) (/ y (sin y)) (/ y (sin 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)) 0.925 * * * [progress]: adding candidates to table 1.105 * [progress]: [Phase 3 of 3] Extracting. 1.105 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.106 * * * [regime-changes]: Trying 5 branch expressions: ((/ (sin y) y) (cosh x) (* (cosh x) (/ (sin y) y)) y x) 1.106 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # # # #) 1.134 * * * * [regimes]: Trying to branch on (cosh x) from (# # # # # # #) 1.155 * * * * [regimes]: Trying to branch on (* (cosh x) (/ (sin y) y)) from (# # # # # # #) 1.186 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.211 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.234 * * * [regime]: Found split indices: #