33.340 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.141 * * * [progress]: [2/2] Setting up program. 0.143 * [progress]: [Phase 2 of 3] Improving. 0.143 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.145 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.147 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.148 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.149 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.151 * * [simplify]: iteration 4 : 63 enodes (cost 9 ) 0.153 * * [simplify]: iteration 5 : 179 enodes (cost 9 ) 0.158 * * [simplify]: iteration 6 : 1184 enodes (cost 9 ) 0.190 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.191 * [simplify]: Simplified to: (* 1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) 0.194 * * [progress]: iteration 1 / 4 0.194 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.207 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.207 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.208 * * * [progress]: generating series expansions 0.208 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.208 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.208 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.208 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.208 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.208 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.208 * [taylor]: Taking taylor expansion of 2 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of 1 in x 0.209 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.209 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.209 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.209 * [taylor]: Taking taylor expansion of 1 in x 0.210 * [taylor]: Taking taylor expansion of 1 in x 0.210 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.210 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.210 * [taylor]: Taking taylor expansion of 2 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.212 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.213 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.213 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.213 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.213 * [taylor]: Taking taylor expansion of 2 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of 1 in x 0.213 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.213 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.213 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.213 * [taylor]: Taking taylor expansion of 1 in x 0.213 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.214 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.214 * [taylor]: Taking taylor expansion of 2 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.241 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.241 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.241 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.241 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of 2 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.242 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.242 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 2 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.244 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.244 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.244 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.245 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.245 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of 2 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.256 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.256 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.257 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.257 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.257 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of 2 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.258 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.258 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.258 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.258 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of 2 in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.259 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.259 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.259 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.259 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 2 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of 1 in x 0.260 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.260 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.260 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.260 * [taylor]: Taking taylor expansion of 1 in x 0.260 * [taylor]: Taking taylor expansion of 1 in x 0.260 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.260 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of 2 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.277 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.277 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.278 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.278 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.278 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.278 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.278 * [taylor]: Taking taylor expansion of 2 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.278 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.278 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.279 * [taylor]: Taking taylor expansion of 1 in x 0.279 * [taylor]: Taking taylor expansion of 1 in x 0.279 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.279 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.279 * [taylor]: Taking taylor expansion of 2 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.283 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.283 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.283 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 2 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.284 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.284 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 2 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.290 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.290 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.290 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.291 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of 2 in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.292 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.292 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of 2 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.298 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.298 * [approximate]: Taking taylor expansion of (expm1 (* 2 x)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.298 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.298 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.298 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.299 * [taylor]: Taking taylor expansion of 2 in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.299 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.299 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.299 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.299 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.299 * [taylor]: Taking taylor expansion of 2 in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [approximate]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in (x) around 0 0.306 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.306 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.306 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of 2 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of 1 in x 0.307 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.307 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.307 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of 2 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.311 * [approximate]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.311 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.311 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.311 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of 2 in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.312 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.312 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.312 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of 2 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.316 * * * [progress]: simplifying candidates 0.317 * [simplify]: Simplifying using # : (expm1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log1p (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (- (log (expm1 (+ x x))) (log (fma 1 1 (exp (+ x x))))) (log (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (exp (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (/ (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x))) (* (* (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x)))) (fma 1 1 (exp (+ x x))))) (* (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (* (* (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (- (expm1 (+ x x))) (- (fma 1 1 (exp (+ x x)))) (/ (exp (+ x x)) (fma 1 1 (exp (+ x x)))) (/ 1 (fma 1 1 (exp (+ x x)))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (cbrt (expm1 (+ x x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) 1) (/ (cbrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) 1) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (+ x x)) (cbrt (fma 1 1 (exp (+ x x))))) (/ 1 (sqrt (fma 1 1 (exp (+ x x))))) (/ (expm1 (+ x x)) (sqrt (fma 1 1 (exp (+ x x))))) (/ 1 1) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ 1 (fma 1 1 (exp (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (expm1 (+ x x)) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (+ x x)) (sqrt (fma 1 1 (exp (+ x x))))) (/ (expm1 (+ x x)) 1) (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (sqrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (expm1 (fma 1 1 (exp (+ x x)))) (log1p (fma 1 1 (exp (+ x x)))) (* 1 1) (log (fma 1 1 (exp (+ x x)))) (exp (fma 1 1 (exp (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (cbrt (fma 1 1 (exp (+ x x)))) (* (* (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x)))) (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x)))) (exp (+ x x)) (expm1 (expm1 (+ x x))) (log1p (expm1 (+ x x))) (log (expm1 (+ x x))) (exp (expm1 (+ x x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (cbrt (expm1 (+ x x))) (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (* 2 (pow x 2)) (+ (* 2 x) 2)) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (+ (* 2 (pow x 2)) (+ (* 4/3 (pow x 3)) (* 2 x))) (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1) 0.322 * * [simplify]: iteration 0 : 164 enodes (cost 440 ) 0.325 * * [simplify]: iteration 1 : 564 enodes (cost 391 ) 0.336 * * [simplify]: iteration 2 : 2669 enodes (cost 384 ) 0.396 * * [simplify]: iteration 3 : 5001 enodes (cost 382 ) 0.398 * [simplify]: Simplified to: (expm1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log1p (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (exp (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (pow (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) 3) (* (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (pow (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) 3) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (- (expm1 (+ x x))) (- (fma 1 1 (exp (+ x x)))) (/ (exp (* 2 x)) (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1)) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (hypot 1 (exp x))) (/ (/ (cbrt (expm1 (+ x x))) 1) (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (/ (cbrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (sqrt (expm1 (+ x x))) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (+ x x)) (cbrt (fma 1 1 (exp (+ x x))))) (/ 1 (/ (hypot 1 (exp x)) 1)) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) 1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ 1 (+ (exp (* 2 x)) 1)) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (expm1 (+ x x)) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (expm1 (* 2 x)) (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (sqrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (expm1 (fma 1 1 (exp (+ x x)))) (log1p (fma 1 1 (exp (+ x x)))) 1 (log1p (exp (* 2 x))) (exp (fma 1 1 (exp (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (cbrt (fma 1 1 (exp (+ x x)))) (pow (+ (exp (* 2 x)) 1) 3) (hypot 1 (exp x)) (hypot 1 (exp x)) (exp (* 2 x)) (expm1 (expm1 (+ x x))) (+ x x) (log (expm1 (+ x x))) (exp (expm1 (+ x x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (cbrt (expm1 (+ x x))) (pow (expm1 (* 2 x)) 3) (sqrt (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (fma x (fma 2 x 2) 2) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (fma x (fma 2 x 2) (* 4/3 (pow x 3))) (expm1 (* 2 x)) (expm1 (* 2 x)) 0.399 * * * [progress]: adding candidates to table 0.543 * * [progress]: iteration 2 / 4 0.543 * * * [progress]: picking best candidate 0.549 * * * * [pick]: Picked # 0.549 * * * [progress]: localizing error 0.559 * * * [progress]: generating rewritten candidates 0.559 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.561 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.566 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.566 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.571 * * * [progress]: generating series expansions 0.571 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.571 * [approximate]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 x))) (expm1 (* 2 x))) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 x))) (expm1 (* 2 x))) in x 0.571 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.571 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.571 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.571 * [taylor]: Taking taylor expansion of 1 in x 0.571 * [taylor]: Taking taylor expansion of 1 in x 0.571 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.571 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.571 * [taylor]: Taking taylor expansion of 2 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.572 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.572 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.572 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.572 * [taylor]: Taking taylor expansion of 2 in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 x))) (expm1 (* 2 x))) in x 0.575 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.575 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.575 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.575 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.575 * [taylor]: Taking taylor expansion of 2 in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.576 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.576 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.576 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.576 * [taylor]: Taking taylor expansion of 2 in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1 in x 0.607 * [approximate]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 (/ 1 x)))) (expm1 (* 2 (/ 1 x)))) in (x) around 0 0.607 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 (/ 1 x)))) (expm1 (* 2 (/ 1 x)))) in x 0.607 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.607 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.608 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.608 * [taylor]: Taking taylor expansion of 1 in x 0.608 * [taylor]: Taking taylor expansion of 1 in x 0.608 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of 2 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.608 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.608 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of 2 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 1 in x 0.610 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 (/ 1 x)))) (expm1 (* 2 (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.610 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.610 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.610 * [taylor]: Taking taylor expansion of 1 in x 0.610 * [taylor]: Taking taylor expansion of 1 in x 0.610 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 2 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.611 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.611 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of 2 in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 1 in x 0.622 * [approximate]: Taking taylor expansion of (/ (fma 1 1 (exp (- (* 2 (/ 1 x))))) (expm1 (- (* 2 (/ 1 x))))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (- (* 2 (/ 1 x))))) (expm1 (- (* 2 (/ 1 x))))) in x 0.622 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.622 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.622 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.622 * [taylor]: Taking taylor expansion of 1 in x 0.622 * [taylor]: Taking taylor expansion of 1 in x 0.622 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of 2 in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.623 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.623 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of 2 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of 1 in x 0.625 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (- (* 2 (/ 1 x))))) (expm1 (- (* 2 (/ 1 x))))) in x 0.625 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.625 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.625 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.625 * [taylor]: Taking taylor expansion of 1 in x 0.625 * [taylor]: Taking taylor expansion of 1 in x 0.625 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of 2 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.626 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.626 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of 2 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of 1 in x 0.638 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.638 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in (x) around 0 0.638 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.638 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.639 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.639 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.639 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.639 * [taylor]: Taking taylor expansion of 2 in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of 1 in x 0.639 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.639 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.640 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.640 * [taylor]: Taking taylor expansion of 1 in x 0.640 * [taylor]: Taking taylor expansion of 1 in x 0.640 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.640 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.640 * [taylor]: Taking taylor expansion of 2 in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.643 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.643 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.643 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.643 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.643 * [taylor]: Taking taylor expansion of 2 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 1 in x 0.644 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.644 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.644 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.644 * [taylor]: Taking taylor expansion of 1 in x 0.644 * [taylor]: Taking taylor expansion of 1 in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.644 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.644 * [taylor]: Taking taylor expansion of 2 in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.670 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.671 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.671 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.671 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of 2 in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.671 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.671 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of 2 in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.673 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.673 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.673 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.673 * [taylor]: Taking taylor expansion of 2 in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of 1 in x 0.678 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.678 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.679 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.679 * [taylor]: Taking taylor expansion of 1 in x 0.679 * [taylor]: Taking taylor expansion of 1 in x 0.679 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.679 * [taylor]: Taking taylor expansion of 2 in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.690 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.690 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.690 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.690 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of 2 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of 1 in x 0.691 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.691 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.691 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.691 * [taylor]: Taking taylor expansion of 1 in x 0.691 * [taylor]: Taking taylor expansion of 1 in x 0.691 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.691 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of 2 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.693 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.693 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.693 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.693 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of 2 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.694 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.694 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.694 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of 2 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.706 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.706 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.706 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.707 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.707 * [taylor]: Taking taylor expansion of 1 in x 0.707 * [taylor]: Taking taylor expansion of 1 in x 0.707 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.707 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.707 * [taylor]: Taking taylor expansion of 2 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.707 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.707 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.707 * [taylor]: Taking taylor expansion of 1 in x 0.707 * [taylor]: Taking taylor expansion of 1 in x 0.707 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.708 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.708 * [taylor]: Taking taylor expansion of 2 in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.712 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.712 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.712 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.712 * [taylor]: Taking taylor expansion of 1 in x 0.712 * [taylor]: Taking taylor expansion of 1 in x 0.712 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of 2 in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.713 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.713 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.713 * [taylor]: Taking taylor expansion of 1 in x 0.713 * [taylor]: Taking taylor expansion of 1 in x 0.713 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of 2 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.719 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 0.719 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.719 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.719 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.719 * [taylor]: Taking taylor expansion of 1 in x 0.719 * [taylor]: Taking taylor expansion of 1 in x 0.719 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.719 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.719 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.719 * [taylor]: Taking taylor expansion of 2 in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.720 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.720 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.720 * [taylor]: Taking taylor expansion of 1 in x 0.720 * [taylor]: Taking taylor expansion of 1 in x 0.720 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.720 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.720 * [taylor]: Taking taylor expansion of 2 in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.727 * [approximate]: Taking taylor expansion of (expm1 (* 2 x)) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.727 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.727 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.727 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.727 * [taylor]: Taking taylor expansion of 2 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of 1 in x 0.728 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.728 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.728 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.728 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.728 * [taylor]: Taking taylor expansion of 2 in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1 in x 0.735 * [approximate]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.735 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.735 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 2 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of 1 in x 0.736 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.736 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.736 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of 2 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of 1 in x 0.739 * [approximate]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in (x) around 0 0.740 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.740 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.740 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.740 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of 2 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of 1 in x 0.741 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.741 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.741 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.741 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of 2 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 1 in x 0.745 * * * [progress]: simplifying candidates 0.747 * [simplify]: Simplifying using # : (expm1 (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (log1p (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (- (log (fma 1 1 (exp (+ x x)))) (log (expm1 (+ x x)))) (log (/ (fma 1 1 (exp (+ x x))) 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(* (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x)))) (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x)))) (exp (+ x x)) (expm1 (expm1 (+ x x))) (log1p (expm1 (+ x x))) (log (expm1 (+ x x))) (exp (expm1 (+ x x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (cbrt (expm1 (+ x x))) (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (- (+ (/ 1 x) (* 1/3 x)) (* 1/45 (pow x 3))) (/ (+ (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ (+ (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (* 2 (pow x 2)) (+ (* 2 x) 2)) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (+ (* 2 (pow x 2)) (+ (* 4/3 (pow x 3)) (* 2 x))) (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1) 0.755 * * [simplify]: iteration 0 : 401 enodes (cost 1494 ) 0.762 * * [simplify]: iteration 1 : 1795 enodes (cost 1297 ) 0.789 * * [simplify]: iteration 2 : 5001 enodes (cost 1209 ) 0.799 * [simplify]: Simplified to: (expm1 (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (log1p (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (log (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (log (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (exp (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (pow (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) 3) (* (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (pow (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) 3) (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (- (fma 1 1 (exp (+ x x)))) (- (expm1 (+ x x))) (/ (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x))))) (/ (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (expm1 (+ x x)))) (/ (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (sqrt (expm1 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(- (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (/ (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (* 2 x)) (cbrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (hypot 1 (exp x))) (/ (cbrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (/ 1 (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x))))) (sqrt (expm1 (+ x x))) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (* 2 x)) (/ (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (* 2 x)) (cbrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (hypot 1 (exp x))) (/ (cbrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (/ 1 (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x))))) (sqrt (expm1 (+ x x))) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (* 2 x)) (/ (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (* 2 x)) (cbrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (hypot 1 (exp x))) (/ (cbrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (/ 1 (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x))))) (sqrt (expm1 (+ x x))) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (* 2 x)) (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (sqrt (expm1 (+ x x))) 1 1 (/ 1 (+ (exp (* 2 x)) 1)) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (fma 1 1 (exp (+ x x)))) (log1p (fma 1 1 (exp (+ x x)))) 1 (log1p (exp (* 2 x))) (exp (fma 1 1 (exp (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (cbrt (fma 1 1 (exp (+ x x)))) (pow (fma 1 1 (exp (+ x x))) 3) (hypot 1 (exp x)) (hypot 1 (exp x)) (exp (* 2 x)) (expm1 (expm1 (+ x x))) (+ x x) (log (expm1 (+ x x))) (exp (expm1 (+ x x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (cbrt (expm1 (+ x x))) (pow (expm1 (* 2 x)) 3) (sqrt (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (fma x 1/3 (- (/ 1 x) (* 1/45 (pow x 3)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (fma 2 (pow x 2) (fma 2 x 2)) (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x))) (fma 2 (pow x 2) (fma 4/3 (pow x 3) (* 2 x))) (expm1 (* 2 x)) (expm1 (* 2 x)) 0.800 * * * [progress]: adding candidates to table 1.042 * * [progress]: iteration 3 / 4 1.042 * * * [progress]: picking best candidate 1.046 * * * * [pick]: Picked # 1.046 * * * [progress]: localizing error 1.056 * * * [progress]: generating rewritten candidates 1.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.088 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.091 * * * [progress]: generating series expansions 1.091 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.091 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1)) in (x) around 0 1.091 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1)) in x 1.091 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.091 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.091 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.091 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.091 * [taylor]: Taking taylor expansion of 2 in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of 1 in x 1.092 * [taylor]: Taking taylor expansion of (+ (exp (* 2 x)) 1) in x 1.092 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.092 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.092 * [taylor]: Taking taylor expansion of 2 in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of 1 in x 1.095 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (+ (exp (* 2 x)) 1)) in x 1.095 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.095 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.095 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.095 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.095 * [taylor]: Taking taylor expansion of 2 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of 1 in x 1.096 * [taylor]: Taking taylor expansion of (+ (exp (* 2 x)) 1) in x 1.096 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.096 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.096 * [taylor]: Taking taylor expansion of 2 in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of 1 in x 1.121 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (+ (exp (/ 2 x)) 1)) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (+ (exp (/ 2 x)) 1)) in x 1.121 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.121 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.121 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of 2 in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of 1 in x 1.122 * [taylor]: Taking taylor expansion of (+ (exp (/ 2 x)) 1) in x 1.122 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.122 * [taylor]: Taking taylor expansion of 2 in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of 1 in x 1.123 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (+ (exp (/ 2 x)) 1)) in x 1.123 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.123 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.123 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of 2 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of 1 in x 1.124 * [taylor]: Taking taylor expansion of (+ (exp (/ 2 x)) 1) in x 1.124 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.124 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.124 * [taylor]: Taking taylor expansion of 2 in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of 1 in x 1.131 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (+ (exp (/ -2 x)) 1)) in (x) around 0 1.132 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (+ (exp (/ -2 x)) 1)) in x 1.132 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.132 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.132 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.132 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of 2 in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of 1 in x 1.133 * [taylor]: Taking taylor expansion of (+ (exp (/ -2 x)) 1) in x 1.133 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.133 * [taylor]: Taking taylor expansion of -2 in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of 1 in x 1.133 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (+ (exp (/ -2 x)) 1)) in x 1.133 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.134 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.134 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.134 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.134 * [taylor]: Taking taylor expansion of 2 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of 1 in x 1.135 * [taylor]: Taking taylor expansion of (+ (exp (/ -2 x)) 1) in x 1.135 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.135 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.135 * [taylor]: Taking taylor expansion of -2 in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of 1 in x 1.142 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.142 * [approximate]: Taking taylor expansion of (+ (exp (* 2 x)) 1) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (+ (exp (* 2 x)) 1) in x 1.142 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.142 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.142 * [taylor]: Taking taylor expansion of 2 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of 1 in x 1.143 * [taylor]: Taking taylor expansion of (+ (exp (* 2 x)) 1) in x 1.143 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.143 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.143 * [taylor]: Taking taylor expansion of 2 in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of 1 in x 1.147 * [approximate]: Taking taylor expansion of (+ (exp (/ 2 x)) 1) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (+ (exp (/ 2 x)) 1) in x 1.147 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.147 * [taylor]: Taking taylor expansion of 2 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of 1 in x 1.147 * [taylor]: Taking taylor expansion of (+ (exp (/ 2 x)) 1) in x 1.147 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.147 * [taylor]: Taking taylor expansion of 2 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 1 in x 1.149 * [approximate]: Taking taylor expansion of (+ (exp (/ -2 x)) 1) in (x) around 0 1.149 * [taylor]: Taking taylor expansion of (+ (exp (/ -2 x)) 1) in x 1.149 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.149 * [taylor]: Taking taylor expansion of -2 in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of 1 in x 1.150 * [taylor]: Taking taylor expansion of (+ (exp (/ -2 x)) 1) in x 1.150 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.150 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.150 * [taylor]: Taking taylor expansion of -2 in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of 1 in x 1.152 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.152 * [approximate]: Taking taylor expansion of (/ 1 (+ (exp (* 2 x)) 1)) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (* 2 x)) 1)) in x 1.152 * [taylor]: Taking taylor expansion of (+ (exp (* 2 x)) 1) in x 1.152 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.152 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.152 * [taylor]: Taking taylor expansion of 2 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of 1 in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (* 2 x)) 1)) in x 1.153 * [taylor]: Taking taylor expansion of (+ (exp (* 2 x)) 1) in x 1.153 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.153 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.153 * [taylor]: Taking taylor expansion of 2 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of 1 in x 1.166 * [approximate]: Taking taylor expansion of (/ 1 (+ (exp (/ 2 x)) 1)) in (x) around 0 1.166 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 2 x)) 1)) in x 1.166 * [taylor]: Taking taylor expansion of (+ (exp (/ 2 x)) 1) in x 1.166 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.166 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.166 * [taylor]: Taking taylor expansion of 2 in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of 1 in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 2 x)) 1)) in x 1.167 * [taylor]: Taking taylor expansion of (+ (exp (/ 2 x)) 1) in x 1.167 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.167 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.167 * [taylor]: Taking taylor expansion of 2 in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of 1 in x 1.170 * [approximate]: Taking taylor expansion of (/ 1 (+ (exp (/ -2 x)) 1)) in (x) around 0 1.170 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ -2 x)) 1)) in x 1.170 * [taylor]: Taking taylor expansion of (+ (exp (/ -2 x)) 1) in x 1.170 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.170 * [taylor]: Taking taylor expansion of -2 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of 1 in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ -2 x)) 1)) in x 1.171 * [taylor]: Taking taylor expansion of (+ (exp (/ -2 x)) 1) in x 1.171 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.171 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.171 * [taylor]: Taking taylor expansion of -2 in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of 1 in x 1.174 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.175 * [approximate]: Taking taylor expansion of (expm1 (* 2 x)) in (x) around 0 1.175 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.175 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.175 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.175 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.175 * [taylor]: Taking taylor expansion of 2 in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of 1 in x 1.175 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.175 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.175 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.175 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.176 * [taylor]: Taking taylor expansion of 2 in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of 1 in x 1.182 * [approximate]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in (x) around 0 1.182 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.182 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.182 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of 2 in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of 1 in x 1.183 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.183 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.183 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of 2 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of 1 in x 1.187 * [approximate]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in (x) around 0 1.187 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.187 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.187 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.187 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.187 * [taylor]: Taking taylor expansion of 2 in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of 1 in x 1.188 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.188 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.188 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.188 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.188 * [taylor]: Taking taylor expansion of 2 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of 1 in x 1.192 * * * [progress]: simplifying candidates 1.193 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (log1p (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (+ (- (log (+ (exp (* 2 x)) 1))) (log (expm1 (+ x x)))) (+ (- 0 (log (+ (exp (* 2 x)) 1))) (log (expm1 (+ x x)))) (+ (- (log 1) (log (+ (exp (* 2 x)) 1))) (log (expm1 (+ x x)))) (+ (log (/ 1 (+ (exp (* 2 x)) 1))) (log (expm1 (+ x x)))) (log (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (exp (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (* (/ (* (* 1 1) 1) (* (* (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (exp (* 2 x)) 1))) (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x)))) (* (* (* (/ 1 (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1))) (/ 1 (+ (exp (* 2 x)) 1))) (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x)))) (* (cbrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (cbrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))))) (cbrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (* (* (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (sqrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (sqrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (* (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (* (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (* (/ (sqrt 1) (sqrt (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (* (/ (sqrt 1) (sqrt (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (* (/ 1 (sqrt (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (* (/ 1 (sqrt (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (* (/ 1 (+ (exp (* 2 x)) 1)) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x))))) (* (/ 1 (+ (exp (* 2 x)) 1)) (sqrt (expm1 (+ x x)))) (* (/ 1 (+ (exp (* 2 x)) 1)) 1) (* (cbrt (/ 1 (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (/ (cbrt 1) (cbrt (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (/ (cbrt 1) (sqrt (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (/ (cbrt 1) (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ (cbrt 1) (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ (sqrt 1) (cbrt (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (/ (sqrt 1) (sqrt (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (/ (sqrt 1) (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ (sqrt 1) (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (/ 1 (sqrt (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))) (* (+ (* (exp (* 2 x)) (exp (* 2 x))) (- (* 1 1) (* (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (- (exp (* 2 x)) 1) (expm1 (+ x x))) (* 1 (expm1 (+ x x))) (expm1 (+ (exp (* 2 x)) 1)) (log1p (+ (exp (* 2 x)) 1)) (* (exp (exp (* 2 x))) (exp 1)) (log (+ (exp (* 2 x)) 1)) (exp (+ (exp (* 2 x)) 1)) (* (cbrt (+ (exp (* 2 x)) 1)) (cbrt (+ (exp (* 2 x)) 1))) (cbrt (+ (exp (* 2 x)) 1)) (* (* (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (exp (* 2 x)) 1)) (sqrt (+ (exp (* 2 x)) 1)) (sqrt (+ (exp (* 2 x)) 1)) (+ (pow (exp (* 2 x)) 3) (pow 1 3)) (+ (* (exp (* 2 x)) (exp (* 2 x))) (- (* 1 1) (* (exp (* 2 x)) 1))) (- (* (exp (* 2 x)) (exp (* 2 x))) (* 1 1)) (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (expm1 (/ 1 (+ (exp (* 2 x)) 1))) (log1p (/ 1 (+ (exp (* 2 x)) 1))) (- 1) (- (log (+ (exp (* 2 x)) 1))) (- 0 (log (+ (exp (* 2 x)) 1))) (- (log 1) (log (+ (exp (* 2 x)) 1))) (log (/ 1 (+ (exp (* 2 x)) 1))) (exp (/ 1 (+ (exp (* 2 x)) 1))) (/ (* (* 1 1) 1) (* (* (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (exp (* 2 x)) 1))) (* (cbrt (/ 1 (+ (exp (* 2 x)) 1))) (cbrt (/ 1 (+ (exp (* 2 x)) 1)))) (cbrt (/ 1 (+ (exp (* 2 x)) 1))) (* (* (/ 1 (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1))) (/ 1 (+ (exp (* 2 x)) 1))) (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (- 1) (- (+ (exp (* 2 x)) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (exp (* 2 x)) 1)) (cbrt (+ (exp (* 2 x)) 1)))) (/ (cbrt 1) (cbrt (+ (exp (* 2 x)) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (exp (* 2 x)) 1))) (/ (cbrt 1) (sqrt (+ (exp (* 2 x)) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (exp (* 2 x)) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (exp (* 2 x)) 1)) (/ (sqrt 1) (* (cbrt (+ (exp (* 2 x)) 1)) (cbrt (+ (exp (* 2 x)) 1)))) (/ (sqrt 1) (cbrt (+ (exp (* 2 x)) 1))) (/ (sqrt 1) (sqrt (+ (exp (* 2 x)) 1))) (/ (sqrt 1) (sqrt (+ (exp (* 2 x)) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (exp (* 2 x)) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (exp (* 2 x)) 1)) (/ 1 (* (cbrt (+ (exp (* 2 x)) 1)) (cbrt (+ (exp (* 2 x)) 1)))) (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (sqrt (+ (exp (* 2 x)) 1))) (/ 1 (sqrt (+ (exp (* 2 x)) 1))) (/ 1 1) (/ 1 (+ (exp (* 2 x)) 1)) (/ 1 1) (/ 1 (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1)) (/ (+ (exp (* 2 x)) 1) 1) (/ 1 (* (cbrt (+ (exp (* 2 x)) 1)) (cbrt (+ (exp (* 2 x)) 1)))) (/ 1 (sqrt (+ (exp (* 2 x)) 1))) (/ 1 1) (/ 1 1) (/ (+ (exp (* 2 x)) 1) (cbrt 1)) (/ (+ (exp (* 2 x)) 1) (sqrt 1)) (/ (+ (exp (* 2 x)) 1) 1) (/ 1 (+ (pow (exp (* 2 x)) 3) (pow 1 3))) (/ 1 (- (* (exp (* 2 x)) (exp (* 2 x))) (* 1 1))) (exp (+ x x)) (expm1 (expm1 (+ x x))) (log1p (expm1 (+ x x))) (log (expm1 (+ x x))) (exp (expm1 (+ x x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (cbrt (expm1 (+ x x))) (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (* 2 (pow x 2)) (+ (* 2 x) 2)) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (- (+ (* 1/6 (pow x 3)) 1/2) (* 1/2 x)) (/ 1 (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1)) (+ (* 2 (pow x 2)) (+ (* 4/3 (pow x 3)) (* 2 x))) (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1) 1.199 * * [simplify]: iteration 0 : 331 enodes (cost 819 ) 1.206 * * [simplify]: iteration 1 : 1630 enodes (cost 653 ) 1.232 * * [simplify]: iteration 2 : 5002 enodes (cost 650 ) 1.235 * [simplify]: Simplified to: (expm1 (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (log1p (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (pow E (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1))) (pow (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) 3) (pow (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) 3) (* (cbrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (cbrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x))))) (cbrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (pow (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) 3) (sqrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (sqrt (* (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (+ x x)))) (* (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (* (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (sqrt (expm1 (+ x x)))) (/ (* (sqrt (expm1 (+ x x))) 1) (hypot (exp x) 1)) (/ (* (sqrt (expm1 (+ x x))) 1) (hypot (exp x) 1)) (/ (* (sqrt (expm1 (+ x x))) 1) (hypot (exp x) 1)) (/ (* (sqrt (expm1 (+ x x))) 1) (hypot (exp x) 1)) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (+ (exp (* 2 x)) 1)) (/ (sqrt (expm1 (+ x x))) (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1)) (* (cbrt (/ 1 (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (* (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (expm1 (+ x x))) (/ (expm1 (+ x x)) (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (/ (hypot (exp x) 1) (expm1 (+ x x)))) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (/ (hypot (exp x) 1) (expm1 (+ x x)))) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (/ (hypot (exp x) 1) (expm1 (+ x x)))) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (* (- (+ (pow (exp 2) (+ x x)) 1) (exp (* 2 x))) (expm1 (+ x x))) (* (expm1 (+ x x)) (expm1 (* 2 x))) (expm1 (+ x x)) (expm1 (+ (exp (* 2 x)) 1)) (log1p (+ (exp (* 2 x)) 1)) (exp (+ (exp (* 2 x)) 1)) (log1p (exp (* 2 x))) (exp (+ (exp (* 2 x)) 1)) (* (cbrt (+ (exp (* 2 x)) 1)) (cbrt (+ (exp (* 2 x)) 1))) (cbrt (+ (exp (* 2 x)) 1)) (pow (+ (exp (* 2 x)) 1) 3) (hypot (exp x) 1) (hypot (exp x) 1) (+ (pow (exp (* 2 x)) 3) 1) (+ (* (exp (* 2 x)) (expm1 (+ x x))) 1) (expm1 (+ (* 2 x) (* 2 x))) (expm1 (+ x x)) (+ (exp (* 2 x)) 1) (expm1 (/ 1 (+ (exp (* 2 x)) 1))) (log1p (/ 1 (+ (exp (* 2 x)) 1))) (- 1) (- 0 (log1p (exp (* 2 x)))) (- 0 (log1p (exp (* 2 x)))) (- 0 (log1p (exp (* 2 x)))) (- 0 (log1p (exp (* 2 x)))) (exp (/ 1 (+ (exp (* 2 x)) 1))) (/ 1 (pow (+ (exp (* 2 x)) 1) 3)) (* (cbrt (/ 1 (+ (exp (* 2 x)) 1))) (cbrt (/ 1 (+ (exp (* 2 x)) 1)))) (cbrt (/ 1 (+ (exp (* 2 x)) 1))) (/ 1 (pow (+ (exp (* 2 x)) 1) 3)) (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (sqrt (/ 1 (+ (exp (* 2 x)) 1))) (- 1) (- (+ (exp (* 2 x)) 1)) (/ (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (hypot (exp x) 1)) (/ 1 (hypot (exp x) 1)) 1 (/ 1 (+ (exp (* 2 x)) 1)) 1 (/ 1 (+ (exp (* 2 x)) 1)) (/ (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (hypot (exp x) 1)) (/ 1 (hypot (exp x) 1)) 1 (/ 1 (+ (exp (* 2 x)) 1)) 1 (/ 1 (+ (exp (* 2 x)) 1)) (/ (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (hypot (exp x) 1)) (/ 1 (hypot (exp x) 1)) 1 (/ 1 (+ (exp (* 2 x)) 1)) 1 (/ 1 (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1)) (+ (exp (* 2 x)) 1) (/ (/ 1 (cbrt (+ (exp (* 2 x)) 1))) (cbrt (+ (exp (* 2 x)) 1))) (/ 1 (hypot (exp x) 1)) 1 1 (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (/ 1 (+ (pow (exp (* 2 x)) 3) 1)) (/ 1 (expm1 (+ (* 2 x) (* 2 x)))) (exp (* 2 x)) (expm1 (expm1 (+ x x))) (+ x x) (log (expm1 (+ x x))) (exp (expm1 (+ x x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (cbrt (expm1 (+ x x))) (pow (expm1 (+ x x)) 3) (sqrt (expm1 (+ x x))) (sqrt (expm1 (+ x x))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (/ (expm1 (+ x x)) (+ (exp (* 2 x)) 1)) (fma 2 (pow x 2) (fma 2 x 2)) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (fma (pow x 3) 1/6 (- 1/2 (* 1/2 x))) (/ 1 (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1)) (fma 2 (pow x 2) (fma 4/3 (pow x 3) (* 2 x))) (expm1 (+ x x)) (expm1 (+ x x)) 1.236 * * * [progress]: adding candidates to table 1.460 * * [progress]: iteration 4 / 4 1.460 * * * [progress]: picking best candidate 1.462 * * * * [pick]: Picked # 1.462 * * * [progress]: localizing error 1.475 * * * [progress]: generating rewritten candidates 1.475 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 3 2) 1.481 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.482 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 3) 1.485 * * * [progress]: generating series expansions 1.485 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 3 2) 1.486 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 1.486 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.486 * [taylor]: Taking taylor expansion of 1/3 in x 1.486 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.486 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.486 * [taylor]: Taking taylor expansion of 1/3 in x 1.486 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.497 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 1.497 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.497 * [taylor]: Taking taylor expansion of 1/3 in x 1.497 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.498 * [taylor]: Taking taylor expansion of 1/3 in x 1.498 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.509 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 1.509 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.509 * [taylor]: Taking taylor expansion of -1/3 in x 1.509 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.510 * [taylor]: Taking taylor expansion of -1/3 in x 1.510 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.521 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.521 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 1.521 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.521 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.521 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.521 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of 2/15 in x 1.521 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.521 * [taylor]: Taking taylor expansion of 1/3 in x 1.521 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.521 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.521 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.521 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of 2/15 in x 1.521 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.521 * [taylor]: Taking taylor expansion of 1/3 in x 1.521 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.529 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 1.529 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.529 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.530 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.530 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of 2/15 in x 1.530 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.530 * [taylor]: Taking taylor expansion of 1/3 in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.530 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.531 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.531 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.531 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of 2/15 in x 1.531 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.532 * [taylor]: Taking taylor expansion of 1/3 in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.532 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.554 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 1.555 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.555 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.555 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.555 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.555 * [taylor]: Taking taylor expansion of -1 in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of 2/15 in x 1.555 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.555 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.555 * [taylor]: Taking taylor expansion of 1/3 in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.555 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.556 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.556 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.556 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.556 * [taylor]: Taking taylor expansion of -1 in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of 2/15 in x 1.557 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.557 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.557 * [taylor]: Taking taylor expansion of 1/3 in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.557 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.575 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 3) 1.575 * [approximate]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in (x) around 0 1.575 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.575 * [taylor]: Taking taylor expansion of 1/3 in x 1.575 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.575 * [taylor]: Taking taylor expansion of 1/3 in x 1.575 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.590 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in (x) around 0 1.590 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.590 * [taylor]: Taking taylor expansion of 1/3 in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.590 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.591 * [taylor]: Taking taylor expansion of 1/3 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.592 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.619 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in (x) around 0 1.619 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.619 * [taylor]: Taking taylor expansion of 1/3 in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.619 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.620 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.620 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.620 * [taylor]: Taking taylor expansion of 1/3 in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.620 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.652 * * * [progress]: simplifying candidates 1.653 * [simplify]: Simplifying using # : (expm1 (* 1/3 (pow x 3))) (log1p (* 1/3 (pow x 3))) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (expm1 (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (log1p (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (pow x 5) 2/15) (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (exp (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (* (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (pow x 3) 1/3))) (fma (- (pow x 3)) 1/3 (* (pow x 3) 1/3)) (fma (sqrt x) (sqrt x) (- (* (pow x 3) 1/3))) (fma (- (pow x 3)) 1/3 (* (pow x 3) 1/3)) (fma 1 x (- (* (pow x 3) 1/3))) (fma (- (pow x 3)) 1/3 (* (pow x 3) 1/3)) (expm1 (- x (* 1/3 (pow x 3)))) (log1p (- x (* 1/3 (pow x 3)))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (/ (exp x) (exp (* 1/3 (pow x 3)))) (log (- x (* 1/3 (pow x 3)))) (exp (- x (* 1/3 (pow x 3)))) (* (cbrt (- x (* 1/3 (pow x 3)))) (cbrt (- x (* 1/3 (pow x 3))))) (cbrt (- x (* 1/3 (pow x 3)))) (* (* (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3)))) (- x (* 1/3 (pow x 3)))) (sqrt (- x (* 1/3 (pow x 3)))) (sqrt (- x (* 1/3 (pow x 3)))) (- (pow x 3) (pow (* 1/3 (pow x 3)) 3)) (+ (* x x) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* x (* 1/3 (pow x 3))))) (- (* 1/3 (pow x 3))) (- (* x x) (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3)))) (+ x (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) 1.658 * * [simplify]: iteration 0 : 206 enodes (cost 338 ) 1.662 * * [simplify]: iteration 1 : 835 enodes (cost 292 ) 1.685 * * [simplify]: iteration 2 : 5001 enodes (cost 292 ) 1.687 * [simplify]: Simplified to: (expm1 (* 1/3 (pow x 3))) (log1p (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* (* 1/3 x) x) (* (* 1/3 x) x) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (expm1 (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (log1p (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (pow x 5) 2/15) (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (exp (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (pow (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) 3) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (- x (* 1/3 (pow x 3))) (* (pow x 3) (+ (- 1/3) 1/3)) (- x (* 1/3 (pow x 3))) (* (pow x 3) (+ (- 1/3) 1/3)) (- x (* 1/3 (pow x 3))) (* (pow x 3) (+ (- 1/3) 1/3)) (expm1 (- x (* 1/3 (pow x 3)))) (log1p (- x (* 1/3 (pow x 3)))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (exp (- x (* 1/3 (pow x 3)))) (log (- x (* 1/3 (pow x 3)))) (exp (- x (* 1/3 (pow x 3)))) (* (cbrt (- x (* 1/3 (pow x 3)))) (cbrt (- x (* 1/3 (pow x 3))))) (cbrt (- x (* 1/3 (pow x 3)))) (pow (- x (* 1/3 (pow x 3))) 3) (sqrt (- x (* 1/3 (pow x 3)))) (sqrt (- x (* 1/3 (pow x 3)))) (- (pow x 3) (pow (* 1/3 (pow x 3)) 3)) (fma x x (fma 1/9 (pow x 6) (* x (* 1/3 (pow x 3))))) (- (* 1/3 (pow x 3))) (- (* x x) (* (pow x 6) 1/9)) (fma (pow x 3) 1/3 x) (- (* 1/3 (pow x 3))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) 1.687 * * * [progress]: adding candidates to table 1.842 * [progress]: [Phase 3 of 3] Extracting. 1.842 * * [regime]: Finding splitpoints for: (# # # # #) 1.843 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.843 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.862 * * * [regime]: Found split indices: #