15.916 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * [simplify]: Simplifying using # : (* (cosh x) (/ (sin y) y)) 0.082 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.084 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.085 * * [simplify]: iteration 2 : 56 enodes (cost 4 ) 0.087 * * [simplify]: iteration 3 : 102 enodes (cost 4 ) 0.089 * * [simplify]: iteration 4 : 153 enodes (cost 4 ) 0.091 * * [simplify]: iteration 5 : 334 enodes (cost 4 ) 0.096 * * [simplify]: iteration 6 : 924 enodes (cost 4 ) 0.106 * * [simplify]: iteration 7 : 1912 enodes (cost 4 ) 0.135 * * [simplify]: iteration 8 : 5001 enodes (cost 4 ) 0.135 * [simplify]: Simplified to: (* (cosh x) (/ (sin y) y)) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.137 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.147 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.149 * * * [progress]: generating series expansions 0.149 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.149 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.149 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.149 * [taylor]: Taking taylor expansion of (sin y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.150 * [taylor]: Taking taylor expansion of (sin y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.157 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.158 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.158 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.158 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.162 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.162 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.162 * [taylor]: Taking taylor expansion of -1 in y 0.162 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.162 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.162 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.162 * [taylor]: Taking taylor expansion of -1 in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.163 * [taylor]: Taking taylor expansion of -1 in y 0.163 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.163 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.163 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.163 * [taylor]: Taking taylor expansion of -1 in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.180 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.180 * [approximate]: Taking taylor expansion of (cosh x) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (cosh x) in x 0.181 * [taylor]: Rewrote expression to (/ (+ (exp x) (exp (- x))) 2) 0.181 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.181 * [taylor]: Taking taylor expansion of (exp x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.181 * [taylor]: Taking taylor expansion of (- x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of 2 in x 0.182 * [taylor]: Taking taylor expansion of (cosh x) in x 0.182 * [taylor]: Rewrote expression to (/ (+ (exp x) (exp (- x))) 2) 0.182 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.182 * [taylor]: Taking taylor expansion of (exp x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.182 * [taylor]: Taking taylor expansion of (- x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of 2 in x 0.200 * [approximate]: Taking taylor expansion of (cosh (/ 1 x)) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (cosh (/ 1 x)) in x 0.200 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2) 0.200 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.200 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 2 in x 0.201 * [taylor]: Taking taylor expansion of (cosh (/ 1 x)) in x 0.201 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2) 0.201 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [approximate]: Taking taylor expansion of (cosh (/ -1 x)) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (cosh (/ -1 x)) in x 0.213 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) 2) 0.213 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.213 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of 2 in x 0.214 * [taylor]: Taking taylor expansion of (cosh (/ -1 x)) in x 0.214 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) 2) 0.214 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.214 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.214 * [taylor]: Taking taylor expansion of -1 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.214 * [taylor]: Taking taylor expansion of -1 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 2 in x 0.225 * * * [progress]: simplifying candidates 0.225 * [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 (cosh x)) (log1p (cosh x)) (+ (exp x) (exp (- x))) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (* (* (cosh x) (cosh x)) (cosh x)) (sqrt (cosh x)) (sqrt (cosh x)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp x) (exp (- x)))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 0.229 * * [simplify]: iteration 0 : 170 enodes (cost 191 ) 0.232 * * [simplify]: iteration 1 : 492 enodes (cost 177 ) 0.240 * * [simplify]: iteration 2 : 1927 enodes (cost 169 ) 0.282 * * [simplify]: iteration 3 : 5001 enodes (cost 169 ) 0.283 * [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 (cosh x)) (log1p (cosh x)) (+ (exp (* -1 x)) (exp x)) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (pow (cosh x) 3) (sqrt (cosh x)) (sqrt (cosh x)) (fma (pow y 4) 1/120 (- 1 (* 1/6 (pow y 2)))) (/ (sin y) y) (/ (sin y) y) (fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1)) (cosh x) (cosh x) 0.284 * * * [progress]: adding candidates to table 0.385 * * [progress]: iteration 2 / 4 0.385 * * * [progress]: picking best candidate 0.396 * * * * [pick]: Picked # 0.396 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.403 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.409 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.412 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.420 * * * [progress]: generating series expansions 0.421 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.421 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.421 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.421 * [taylor]: Taking taylor expansion of (sin y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.422 * [taylor]: Taking taylor expansion of (sin y) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.429 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.429 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.429 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.429 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.434 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.434 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.434 * [taylor]: Taking taylor expansion of -1 in y 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 0.434 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.434 * [taylor]: Taking taylor expansion of -1 in y 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 0.435 * [taylor]: Taking taylor expansion of y in y 0.446 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.446 * [approximate]: Taking taylor expansion of (/ y (sin y)) in (y) around 0 0.446 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (sin y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (sin y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.454 * [approximate]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.454 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.454 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.454 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 0.455 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.455 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.460 * [approximate]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.460 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.460 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.460 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (/ -1 (* (sin (/ -1 y)) y)) in y 0.461 * [taylor]: Taking taylor expansion of -1 in y 0.461 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.461 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.461 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.461 * [taylor]: Taking taylor expansion of -1 in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.467 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.467 * [approximate]: Taking taylor expansion of (cosh x) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (cosh x) in x 0.467 * [taylor]: Rewrote expression to (/ (+ (exp x) (exp (- x))) 2) 0.467 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.467 * [taylor]: Taking taylor expansion of (exp x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.467 * [taylor]: Taking taylor expansion of (- x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 2 in x 0.468 * [taylor]: Taking taylor expansion of (cosh x) in x 0.468 * [taylor]: Rewrote expression to (/ (+ (exp x) (exp (- x))) 2) 0.468 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.468 * [taylor]: Taking taylor expansion of (exp x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.468 * [taylor]: Taking taylor expansion of (- x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 2 in x 0.485 * [approximate]: Taking taylor expansion of (cosh (/ 1 x)) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (cosh (/ 1 x)) in x 0.485 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2) 0.485 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.485 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of 2 in x 0.486 * [taylor]: Taking taylor expansion of (cosh (/ 1 x)) in x 0.486 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2) 0.486 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of 2 in x 0.504 * [approximate]: Taking taylor expansion of (cosh (/ -1 x)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (cosh (/ -1 x)) in x 0.504 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) 2) 0.504 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.504 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 2 in x 0.505 * [taylor]: Taking taylor expansion of (cosh (/ -1 x)) in x 0.505 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) 2) 0.505 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.505 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.506 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 2 in x 0.516 * * * [progress]: simplifying candidates 0.518 * [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 (cosh x)) (log1p (cosh x)) (+ (exp x) (exp (- x))) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (* (* (cosh x) (cosh x)) (cosh x)) (sqrt (cosh x)) (sqrt (cosh x)) (- (+ (* 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)) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp x) (exp (- x)))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 0.524 * * [simplify]: iteration 0 : 407 enodes (cost 773 ) 0.531 * * [simplify]: iteration 1 : 1701 enodes (cost 683 ) 0.557 * * [simplify]: iteration 2 : 5001 enodes (cost 607 ) 0.560 * [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))) (/ (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) (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 (cosh x)) (log1p (cosh x)) (+ (exp (* -1 x)) (exp x)) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (pow (cosh x) 3) (sqrt (cosh x)) (sqrt (cosh 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)) (fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1)) (fma (exp x) 1/2 (/ 1/2 (exp x))) (fma (exp x) 1/2 (/ 1/2 (exp x))) 0.561 * * * [progress]: adding candidates to table 0.774 * * [progress]: iteration 3 / 4 0.774 * * * [progress]: picking best candidate 0.784 * * * * [pick]: Picked # 0.784 * * * [progress]: localizing error 0.792 * * * [progress]: generating rewritten candidates 0.792 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.803 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.806 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.826 * * * [progress]: generating series expansions 0.826 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.827 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 0.827 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.827 * [taylor]: Taking taylor expansion of (sin y) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 0.828 * [taylor]: Taking taylor expansion of (sin y) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.835 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 0.835 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.835 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 0.835 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.839 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.839 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.839 * [taylor]: Taking taylor expansion of -1 in y 0.839 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.839 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.839 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.839 * [taylor]: Taking taylor expansion of -1 in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 y)) y)) in y 0.840 * [taylor]: Taking taylor expansion of -1 in y 0.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 0.840 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.840 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.840 * [taylor]: Taking taylor expansion of -1 in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.851 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.851 * [approximate]: Taking taylor expansion of (/ 1 (sin y)) in (y) around 0 0.851 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.851 * [taylor]: Taking taylor expansion of (sin y) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (sin y)) in y 0.852 * [taylor]: Taking taylor expansion of (sin y) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.859 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in (y) around 0 0.859 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.859 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 y))) in y 0.859 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.861 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in (y) around 0 0.861 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.861 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.861 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.861 * [taylor]: Taking taylor expansion of -1 in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 y))) in y 0.862 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.862 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.862 * [taylor]: Taking taylor expansion of -1 in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.863 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.863 * [approximate]: Taking taylor expansion of (cosh x) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (cosh x) in x 0.863 * [taylor]: Rewrote expression to (/ (+ (exp x) (exp (- x))) 2) 0.863 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.864 * [taylor]: Taking taylor expansion of (exp x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.864 * [taylor]: Taking taylor expansion of (- x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of 2 in x 0.865 * [taylor]: Taking taylor expansion of (cosh x) in x 0.865 * [taylor]: Rewrote expression to (/ (+ (exp x) (exp (- x))) 2) 0.865 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.865 * [taylor]: Taking taylor expansion of (exp x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.865 * [taylor]: Taking taylor expansion of (- x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of 2 in x 0.888 * [approximate]: Taking taylor expansion of (cosh (/ 1 x)) in (x) around 0 0.888 * [taylor]: Taking taylor expansion of (cosh (/ 1 x)) in x 0.888 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2) 0.888 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.889 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of 2 in x 0.890 * [taylor]: Taking taylor expansion of (cosh (/ 1 x)) in x 0.890 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2) 0.890 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.890 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.890 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of 2 in x 0.900 * [approximate]: Taking taylor expansion of (cosh (/ -1 x)) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (cosh (/ -1 x)) in x 0.901 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) 2) 0.901 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.901 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.901 * [taylor]: Taking taylor expansion of -1 in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.901 * [taylor]: Taking taylor expansion of -1 in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of 2 in x 0.902 * [taylor]: Taking taylor expansion of (cosh (/ -1 x)) in x 0.902 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) 2) 0.902 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.902 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.902 * [taylor]: Taking taylor expansion of -1 in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.902 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.902 * [taylor]: Taking taylor expansion of -1 in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of 2 in x 0.913 * * * [progress]: simplifying candidates 0.917 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 y) (/ 1 (sin y)))) (log1p (/ (/ 1 y) (/ 1 (sin y)))) (- (- (log y)) (- (log (sin y)))) (- (- (log y)) (- 0 (log 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(/ (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) (expm1 (cosh x)) (log1p (cosh x)) (+ (exp x) (exp (- x))) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (* (* (cosh x) (cosh x)) (cosh x)) (sqrt (cosh x)) (sqrt (cosh x)) (- (+ (* 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)) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp x) (exp (- x)))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 0.931 * * [simplify]: iteration 0 : 1239 enodes (cost 2734 ) 0.951 * * [simplify]: iteration 1 : 5001 enodes (cost 2240 ) 0.961 * [simplify]: Simplified to: 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(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)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (/ (/ 1 (cbrt (/ 1 (sin y)))) (cbrt (/ 1 (sin y)))) (/ (/ 1 y) (cbrt (/ 1 (sin y)))) (/ 1 (sqrt (/ 1 (sin y)))) (/ (/ 1 y) (sqrt (/ 1 (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 1) (cbrt 1))) (/ (/ 1 y) (/ (cbrt 1) (cbrt (sin y)))) (/ (sqrt (sin y)) (* (cbrt 1) (cbrt 1))) (/ (/ 1 y) (/ (cbrt 1) (sqrt (sin y)))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ (/ (sin y) y) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))) (* (/ 1 y) (cbrt (sin y))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) 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 (/ (sin y) y) (/ (/ 1 (cbrt (/ 1 (sin y)))) (cbrt (/ 1 (sin y)))) (/ (/ 1 y) (cbrt (/ 1 (sin y)))) (/ 1 (sqrt (/ 1 (sin y)))) (/ (/ 1 y) (sqrt (/ 1 (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 1) (cbrt 1))) (/ (/ 1 y) (/ (cbrt 1) (cbrt (sin y)))) (/ (sqrt (sin y)) (* (cbrt 1) (cbrt 1))) (/ (/ 1 y) (/ (cbrt 1) (sqrt (sin y)))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ (/ (sin y) y) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))) (* (/ 1 y) (cbrt (sin y))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) 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 (/ (sin y) y) (/ (/ 1 (cbrt (/ 1 (sin y)))) (cbrt (/ 1 (sin y)))) (/ (/ 1 y) (cbrt (/ 1 (sin y)))) (/ 1 (sqrt (/ 1 (sin y)))) (/ (/ 1 y) (sqrt (/ 1 (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 1) (cbrt 1))) (/ (/ 1 y) (/ (cbrt 1) (cbrt (sin y)))) (/ (sqrt (sin y)) (* (cbrt 1) (cbrt 1))) (/ (/ 1 y) (/ (cbrt 1) (sqrt (sin y)))) (/ 1 (* (cbrt 1) (cbrt 1))) (/ (/ (sin y) y) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))) (* (/ 1 y) (cbrt (sin y))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) 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 (/ (sin y) y) (sin y) (/ y (sin y)) (/ (/ 1 y) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))) (/ (/ 1 y) (sqrt (/ 1 (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (* (cbrt 1) (cbrt 1)) y)) (/ (/ (sqrt (sin y)) y) (* (cbrt 1) (cbrt 1))) (/ 1 (* (* (cbrt 1) (cbrt 1)) y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) y) (/ (sqrt (sin y)) y) (/ 1 y) (/ (* (cbrt (sin y)) (cbrt (sin y))) y) (/ (sqrt (sin y)) y) (/ 1 y) (/ 1 y) (/ 1 y) (/ (/ 1 (sin y)) (cbrt (/ 1 y))) (/ (/ 1 (sin y)) (sqrt (/ 1 y))) (/ (/ 1 (sin y)) (/ (cbrt 1) (cbrt y))) (/ (/ 1 (sin y)) (/ (cbrt 1) (sqrt y))) (/ (/ 1 (sin y)) (/ (cbrt 1) y)) (* (/ 1 (sin y)) (cbrt y)) (/ (sqrt y) (sin y)) (/ y (sin y)) (* (/ 1 (sin y)) (cbrt y)) (/ (sqrt y) (sin y)) (/ y (sin y)) (/ y (sin y)) (/ y (sin y)) (/ 1 y) (/ y (sin 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))) (pow (/ 1 (sin y)) 3) (* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y)))) (cbrt (/ 1 (sin y))) (pow (/ 1 (sin y)) 3) (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)) (/ (cbrt 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) (cbrt 1)) (sin y) (sin y) (expm1 (cosh x)) (log1p (cosh x)) (+ (exp (* -1 x)) (exp x)) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (pow (cosh x) 3) (sqrt (cosh x)) (sqrt (cosh x)) (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)) (fma 1/2 (pow x 2) (fma 1/24 (pow x 4) 1)) (* 1/2 (+ (exp (* -1 x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 0.962 * * * [progress]: adding candidates to table 1.373 * * [progress]: iteration 4 / 4 1.373 * * * [progress]: picking best candidate 1.382 * * * * [pick]: Picked # 1.382 * * * [progress]: localizing error 1.394 * * * [progress]: generating rewritten candidates 1.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.396 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.399 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.401 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.056 * * * [progress]: generating series expansions 2.056 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 2.057 * [approximate]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in (y) around 0 2.057 * [taylor]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in y 2.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y (sin y))))) in y 2.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y (sin y)))) in y 2.057 * [taylor]: Taking taylor expansion of 1/3 in y 2.057 * [taylor]: Taking taylor expansion of (log (/ y (sin y))) in y 2.057 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 2.057 * [taylor]: Taking taylor expansion of y in y 2.057 * [taylor]: Taking taylor expansion of (sin y) in y 2.057 * [taylor]: Taking taylor expansion of y in y 2.075 * [taylor]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in y 2.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y (sin y))))) in y 2.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y (sin y)))) in y 2.076 * [taylor]: Taking taylor expansion of 1/3 in y 2.076 * [taylor]: Taking taylor expansion of (log (/ y (sin y))) in y 2.076 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 2.076 * [taylor]: Taking taylor expansion of y in y 2.076 * [taylor]: Taking taylor expansion of (sin y) in y 2.076 * [taylor]: Taking taylor expansion of y in y 2.100 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in (y) around 0 2.100 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in y 2.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y))))) in y 2.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y)))) in y 2.101 * [taylor]: Taking taylor expansion of 1/3 in y 2.101 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ 1 y)) y))) in y 2.101 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 2.101 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.101 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.102 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in y 2.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y))))) in y 2.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y)))) in y 2.102 * [taylor]: Taking taylor expansion of 1/3 in y 2.102 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ 1 y)) y))) in y 2.102 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 2.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.102 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.143 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in (y) around 0 2.143 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in y 2.143 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.143 * [taylor]: Taking taylor expansion of -1 in y 2.144 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3) in y 2.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y))))) in y 2.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y)))) in y 2.144 * [taylor]: Taking taylor expansion of 1/3 in y 2.144 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ -1 y)) y))) in y 2.144 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ -1 y)) y)) in y 2.144 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.144 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.144 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.144 * [taylor]: Taking taylor expansion of -1 in y 2.144 * [taylor]: Taking taylor expansion of y in y 2.144 * [taylor]: Taking taylor expansion of y in y 2.145 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in y 2.145 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.145 * [taylor]: Taking taylor expansion of -1 in y 2.146 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3) in y 2.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y))))) in y 2.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y)))) in y 2.146 * [taylor]: Taking taylor expansion of 1/3 in y 2.146 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ -1 y)) y))) in y 2.146 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ -1 y)) y)) in y 2.146 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.146 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.146 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.146 * [taylor]: Taking taylor expansion of -1 in y 2.146 * [taylor]: Taking taylor expansion of y in y 2.146 * [taylor]: Taking taylor expansion of y in y 2.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.204 * [approximate]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in (y) around 0 2.204 * [taylor]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in y 2.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y (sin y))))) in y 2.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y (sin y)))) in y 2.204 * [taylor]: Taking taylor expansion of 1/3 in y 2.204 * [taylor]: Taking taylor expansion of (log (/ y (sin y))) in y 2.204 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 2.204 * [taylor]: Taking taylor expansion of y in y 2.204 * [taylor]: Taking taylor expansion of (sin y) in y 2.204 * [taylor]: Taking taylor expansion of y in y 2.210 * [taylor]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in y 2.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y (sin y))))) in y 2.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y (sin y)))) in y 2.210 * [taylor]: Taking taylor expansion of 1/3 in y 2.210 * [taylor]: Taking taylor expansion of (log (/ y (sin y))) in y 2.210 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 2.210 * [taylor]: Taking taylor expansion of y in y 2.210 * [taylor]: Taking taylor expansion of (sin y) in y 2.210 * [taylor]: Taking taylor expansion of y in y 2.241 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in (y) around 0 2.241 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in y 2.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y))))) in y 2.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y)))) in y 2.241 * [taylor]: Taking taylor expansion of 1/3 in y 2.241 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ 1 y)) y))) in y 2.241 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 2.241 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.241 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.242 * [taylor]: Taking taylor expansion of y in y 2.242 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in y 2.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y))))) in y 2.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y)))) in y 2.243 * [taylor]: Taking taylor expansion of 1/3 in y 2.243 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ 1 y)) y))) in y 2.243 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 2.243 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.243 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.243 * [taylor]: Taking taylor expansion of y in y 2.243 * [taylor]: Taking taylor expansion of y in y 2.285 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in (y) around 0 2.285 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in y 2.285 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.285 * [taylor]: Taking taylor expansion of -1 in y 2.286 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3) in y 2.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y))))) in y 2.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y)))) in y 2.286 * [taylor]: Taking taylor expansion of 1/3 in y 2.286 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ -1 y)) y))) in y 2.286 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ -1 y)) y)) in y 2.286 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.286 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.286 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.286 * [taylor]: Taking taylor expansion of -1 in y 2.286 * [taylor]: Taking taylor expansion of y in y 2.286 * [taylor]: Taking taylor expansion of y in y 2.287 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in y 2.287 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.287 * [taylor]: Taking taylor expansion of -1 in y 2.288 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3) in y 2.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y))))) in y 2.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y)))) in y 2.288 * [taylor]: Taking taylor expansion of 1/3 in y 2.288 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ -1 y)) y))) in y 2.288 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ -1 y)) y)) in y 2.288 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.288 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.288 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.288 * [taylor]: Taking taylor expansion of -1 in y 2.288 * [taylor]: Taking taylor expansion of y in y 2.289 * [taylor]: Taking taylor expansion of y in y 2.347 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 2.347 * [approximate]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in (y) around 0 2.347 * [taylor]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in y 2.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y (sin y))))) in y 2.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y (sin y)))) in y 2.347 * [taylor]: Taking taylor expansion of 1/3 in y 2.347 * [taylor]: Taking taylor expansion of (log (/ y (sin y))) in y 2.347 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.347 * [taylor]: Taking taylor expansion of (sin y) in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.354 * [taylor]: Taking taylor expansion of (pow (/ y (sin y)) 1/3) in y 2.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y (sin y))))) in y 2.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y (sin y)))) in y 2.354 * [taylor]: Taking taylor expansion of 1/3 in y 2.354 * [taylor]: Taking taylor expansion of (log (/ y (sin y))) in y 2.354 * [taylor]: Taking taylor expansion of (/ y (sin y)) in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.354 * [taylor]: Taking taylor expansion of (sin y) in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.379 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in (y) around 0 2.379 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in y 2.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y))))) in y 2.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y)))) in y 2.379 * [taylor]: Taking taylor expansion of 1/3 in y 2.379 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ 1 y)) y))) in y 2.379 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 2.379 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.379 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.379 * [taylor]: Taking taylor expansion of y in y 2.380 * [taylor]: Taking taylor expansion of y in y 2.380 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ 1 y)) y)) 1/3) in y 2.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y))))) in y 2.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ 1 y)) y)))) in y 2.381 * [taylor]: Taking taylor expansion of 1/3 in y 2.381 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ 1 y)) y))) in y 2.381 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ 1 y)) y)) in y 2.381 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.381 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.428 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in (y) around 0 2.429 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in y 2.429 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.429 * [taylor]: Taking taylor expansion of -1 in y 2.429 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3) in y 2.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y))))) in y 2.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y)))) in y 2.429 * [taylor]: Taking taylor expansion of 1/3 in y 2.429 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ -1 y)) y))) in y 2.429 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ -1 y)) y)) in y 2.429 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.429 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.429 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.430 * [taylor]: Taking taylor expansion of -1 in y 2.430 * [taylor]: Taking taylor expansion of y in y 2.430 * [taylor]: Taking taylor expansion of y in y 2.431 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3)) in y 2.431 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.431 * [taylor]: Taking taylor expansion of -1 in y 2.432 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (sin (/ -1 y)) y)) 1/3) in y 2.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y))))) in y 2.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (sin (/ -1 y)) y)))) in y 2.432 * [taylor]: Taking taylor expansion of 1/3 in y 2.432 * [taylor]: Taking taylor expansion of (log (/ 1 (* (sin (/ -1 y)) y))) in y 2.432 * [taylor]: Taking taylor expansion of (/ 1 (* (sin (/ -1 y)) y)) in y 2.432 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.432 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.432 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.432 * [taylor]: Taking taylor expansion of -1 in y 2.432 * [taylor]: Taking taylor expansion of y in y 2.432 * [taylor]: Taking taylor expansion of y in y 2.484 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.485 * [approximate]: Taking taylor expansion of (/ (sin y) y) in (y) around 0 2.485 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 2.485 * [taylor]: Taking taylor expansion of (sin y) in y 2.485 * [taylor]: Taking taylor expansion of y in y 2.485 * [taylor]: Taking taylor expansion of y in y 2.485 * [taylor]: Taking taylor expansion of (/ (sin y) y) in y 2.485 * [taylor]: Taking taylor expansion of (sin y) in y 2.485 * [taylor]: Taking taylor expansion of y in y 2.485 * [taylor]: Taking taylor expansion of y in y 2.499 * [approximate]: Taking taylor expansion of (* (sin (/ 1 y)) y) in (y) around 0 2.499 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.499 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.499 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.499 * [taylor]: Taking taylor expansion of y in y 2.499 * [taylor]: Taking taylor expansion of y in y 2.499 * [taylor]: Taking taylor expansion of (* (sin (/ 1 y)) y) in y 2.499 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.499 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.499 * [taylor]: Taking taylor expansion of y in y 2.500 * [taylor]: Taking taylor expansion of y in y 2.504 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) (pow (cbrt -1) 3)) in (y) around 0 2.504 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) (pow (cbrt -1) 3)) in y 2.504 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.504 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.504 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.504 * [taylor]: Taking taylor expansion of -1 in y 2.504 * [taylor]: Taking taylor expansion of y in y 2.504 * [taylor]: Taking taylor expansion of y in y 2.504 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in y 2.504 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.504 * [taylor]: Taking taylor expansion of -1 in y 2.508 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 y)) y) (pow (cbrt -1) 3)) in y 2.508 * [taylor]: Taking taylor expansion of (* (sin (/ -1 y)) y) in y 2.508 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.508 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.508 * [taylor]: Taking taylor expansion of -1 in y 2.508 * [taylor]: Taking taylor expansion of y in y 2.509 * [taylor]: Taking taylor expansion of y in y 2.509 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in y 2.509 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.509 * [taylor]: Taking taylor expansion of -1 in y 2.542 * * * [progress]: simplifying candidates 2.563 * [simplify]: Simplifying using # : (expm1 (cbrt (/ y (sin y)))) (log1p (cbrt (/ y (sin y)))) (log (cbrt (/ y (sin y)))) (exp (cbrt (/ y (sin y)))) (cbrt (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (cbrt (cbrt (/ y (sin y)))) (cbrt (sqrt (/ y (sin y)))) (cbrt (sqrt (/ y (sin y)))) (cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (/ (cbrt y) (cbrt (sin y)))) (cbrt (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (cbrt (/ (cbrt y) (sqrt (sin y)))) (cbrt (/ (* (cbrt y) (cbrt y)) 1)) (cbrt (/ (cbrt y) (sin y))) (cbrt (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (/ (sqrt y) (cbrt (sin y)))) (cbrt (/ (sqrt y) (sqrt (sin y)))) (cbrt (/ (sqrt y) (sqrt (sin y)))) (cbrt (/ (sqrt y) 1)) (cbrt (/ (sqrt y) (sin y))) (cbrt (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (/ y (cbrt (sin 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(+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) 2.727 * * * [progress]: adding candidates to table 8.403 * [progress]: [Phase 3 of 3] Extracting. 8.403 * * [regime]: Finding splitpoints for: (# # # # # #) 8.404 * * * [regime-changes]: Trying 5 branch expressions: ((/ (sin y) y) (cosh x) (* (cosh x) (/ (sin y) y)) y x) 8.404 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # # #) 8.438 * * * * [regimes]: Trying to branch on (cosh x) from (# # # # # #) 8.472 * * * * [regimes]: Trying to branch on (* (cosh x) (/ (sin y) y)) from (# # # # # #) 8.505 * * * * [regimes]: Trying to branch on y from (# # # # # #) 8.525 * * * * [regimes]: Trying to branch on x from (# # # # # #) 8.547 * * * [regime]: Found split indices: #