28.882 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.061 * [simplify]: Simplifying: (/ (- (exp x) 1) x) 0.061 * * [simplify]: iteration 0: 5 enodes 0.063 * * [simplify]: iteration 1: 14 enodes 0.064 * * [simplify]: iteration 2: 16 enodes 0.068 * * [simplify]: iteration 3: 19 enodes 0.072 * * [simplify]: iteration complete: 19 enodes 0.072 * * [simplify]: Extracting #0: cost 1 inf + 0 0.072 * * [simplify]: Extracting #1: cost 6 inf + 0 0.072 * * [simplify]: Extracting #2: cost 6 inf + 183 0.073 * * [simplify]: Extracting #3: cost 0 inf + 451 0.073 * [simplify]: Simplified to: (/ (expm1 x) x) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.097 * [backup-simplify]: Simplify (/ (expm1 x) x) into (/ (expm1 x) x) 0.097 * [approximate]: Taking taylor expansion of (/ (expm1 x) x) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (/ (expm1 x) x) in x 0.097 * [taylor]: Taking taylor expansion of (expm1 x) in x 0.097 * [taylor]: Rewrote expression to (- (exp x) 1) 0.097 * [taylor]: Taking taylor expansion of (exp x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (exp 0) into 1 0.097 * [taylor]: Taking taylor expansion of 1 in x 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (- 1) into -1 0.098 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.099 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ (expm1 x) x) in x 0.100 * [taylor]: Taking taylor expansion of (expm1 x) in x 0.100 * [taylor]: Rewrote expression to (- (exp x) 1) 0.100 * [taylor]: Taking taylor expansion of (exp x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (exp 0) into 1 0.100 * [taylor]: Taking taylor expansion of 1 in x 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (- 1) into -1 0.101 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.102 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.105 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* 1 (/ 0 1)))) into 1/2 0.105 * [backup-simplify]: Simplify 1/2 into 1/2 0.106 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 0.107 * [backup-simplify]: Simplify (- (/ 1/6 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)))) into 1/6 0.107 * [backup-simplify]: Simplify 1/6 into 1/6 0.108 * [backup-simplify]: Simplify (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) 0.108 * [backup-simplify]: Simplify (/ (expm1 (/ 1 x)) (/ 1 x)) into (* (expm1 (/ 1 x)) x) 0.108 * [approximate]: Taking taylor expansion of (* (expm1 (/ 1 x)) x) in (x) around 0 0.108 * [taylor]: Taking taylor expansion of (* (expm1 (/ 1 x)) x) in x 0.108 * [taylor]: Taking taylor expansion of (expm1 (/ 1 x)) in x 0.108 * [taylor]: Rewrote expression to (- (exp (/ 1 x)) 1) 0.108 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.109 * [taylor]: Taking taylor expansion of 1 in x 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (* (expm1 (/ 1 x)) x) in x 0.109 * [taylor]: Taking taylor expansion of (expm1 (/ 1 x)) in x 0.109 * [taylor]: Rewrote expression to (- (exp (/ 1 x)) 1) 0.109 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.109 * [taylor]: Taking taylor expansion of 1 in x 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (- 1) into -1 0.110 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) 0.110 * [backup-simplify]: Simplify (* (- (exp (/ 1 x)) 1) 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 x)) 1) 1) (* 0 0)) into (- (exp (/ 1 x)) 1) 0.111 * [backup-simplify]: Simplify (- (exp (/ 1 x)) 1) into (- (exp (/ 1 x)) 1) 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 x)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (* (- (exp (/ 1 (/ 1 x))) 1) (/ 1 x)) into (/ (- (exp x) 1) x) 0.122 * [backup-simplify]: Simplify (/ (expm1 (/ 1 (- x))) (/ 1 (- x))) into (* -1 (* x (expm1 (/ -1 x)))) 0.122 * [approximate]: Taking taylor expansion of (* -1 (* x (expm1 (/ -1 x)))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (* -1 (* x (expm1 (/ -1 x)))) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [backup-simplify]: Simplify -1 into -1 0.122 * [taylor]: Taking taylor expansion of (* x (expm1 (/ -1 x))) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of (expm1 (/ -1 x)) in x 0.122 * [taylor]: Rewrote expression to (- (exp (/ -1 x)) 1) 0.122 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [backup-simplify]: Simplify -1 into -1 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ -1 1) into -1 0.123 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.123 * [taylor]: Taking taylor expansion of 1 in x 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of (* -1 (* x (expm1 (/ -1 x)))) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [backup-simplify]: Simplify -1 into -1 0.123 * [taylor]: Taking taylor expansion of (* x (expm1 (/ -1 x))) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of (expm1 (/ -1 x)) in x 0.123 * [taylor]: Rewrote expression to (- (exp (/ -1 x)) 1) 0.123 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [backup-simplify]: Simplify -1 into -1 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ -1 1) into -1 0.124 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.124 * [taylor]: Taking taylor expansion of 1 in x 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (- 1) into -1 0.125 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) 0.125 * [backup-simplify]: Simplify (* 0 (- (exp (/ -1 x)) 1)) into 0 0.125 * [backup-simplify]: Simplify (* -1 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ -1 x)) 1))) into (- (exp (/ -1 x)) 1) 0.142 * [backup-simplify]: Simplify (+ (* -1 (- (exp (/ -1 x)) 1)) (* 0 0)) into (- 1 (exp (/ -1 x))) 0.142 * [backup-simplify]: Simplify (- 1 (exp (/ -1 x))) into (- 1 (exp (/ -1 x))) 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (exp (/ -1 x)) 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (exp (/ -1 x)) 1)) (* 0 0))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (exp (/ -1 x)) 1))))) into 0 0.149 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 x)) 1)) (* 0 0)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ -1 x)) 1)))))) into 0 0.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 x)) 1)) (* 0 0))))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ -1 x)) 1))))))) into 0 0.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 x)) 1)) (* 0 0)))))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ -1 x)) 1)))))))) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 x)) 1)) (* 0 0))))))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ -1 x)) 1))))))))) into 0 0.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 x)) 1)) (* 0 0)))))))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (* (- 1 (exp (/ -1 (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (/ (- 1 (exp x)) x)) 0.164 * * * [progress]: simplifying candidates 0.164 * * * * [progress]: [ 1 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 2 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 3 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 4 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 5 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 6 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 7 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 8 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 9 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 10 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 11 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 12 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 13 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 14 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 15 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 16 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 17 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 18 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 19 / 34 ] simplifiying candidate # 0.164 * * * * [progress]: [ 20 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 21 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 22 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 23 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 24 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 25 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 26 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 27 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 28 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 29 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 30 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 31 / 34 ] simplifiying candidate #real (real->posit16 (/ (expm1 x) x))))> 0.165 * * * * [progress]: [ 32 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 33 / 34 ] simplifiying candidate # 0.165 * * * * [progress]: [ 34 / 34 ] simplifiying candidate # 0.165 * [simplify]: Simplifying: (expm1 (/ (expm1 x) x)) (log1p (/ (expm1 x) x)) (- (log (expm1 x)) (log x)) (log (/ (expm1 x) x)) (exp (/ (expm1 x) x)) (/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x 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)) (- (expm1 x)) (- x) (/ (exp x) x) (/ 1 x) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x))) (/ (cbrt (expm1 x)) (cbrt x)) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt x)) (/ (cbrt (expm1 x)) (sqrt x)) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) 1) (/ (cbrt (expm1 x)) x) (/ (sqrt (expm1 x)) (* (cbrt x) (cbrt x))) (/ (sqrt (expm1 x)) (cbrt x)) (/ (sqrt (expm1 x)) (sqrt x)) (/ (sqrt (expm1 x)) (sqrt x)) (/ (sqrt (expm1 x)) 1) (/ (sqrt (expm1 x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (expm1 x) (cbrt x)) (/ 1 (sqrt x)) (/ (expm1 x) (sqrt x)) (/ 1 1) (/ (expm1 x) x) (/ 1 x) (/ x (expm1 x)) (/ (expm1 x) (* (cbrt x) (cbrt x))) (/ (expm1 x) (sqrt x)) (/ (expm1 x) 1) (/ x (cbrt (expm1 x))) (/ x (sqrt (expm1 x))) (/ x (expm1 x)) (real->posit16 (/ (expm1 x) x)) (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) (/ (- (exp x) 1) x) (* -1 (/ (- 1 (exp x)) x)) 0.166 * * [simplify]: iteration 0: 68 enodes 0.179 * * [simplify]: iteration 1: 133 enodes 0.226 * * [simplify]: iteration 2: 371 enodes 0.435 * * [simplify]: iteration 3: 1422 enodes 1.829 * * [simplify]: iteration complete: 5001 enodes 1.829 * * [simplify]: Extracting #0: cost 36 inf + 0 1.832 * * [simplify]: Extracting #1: cost 441 inf + 1 1.841 * * [simplify]: Extracting #2: cost 1341 inf + 780 1.852 * * [simplify]: Extracting #3: cost 1564 inf + 47595 1.896 * * [simplify]: Extracting #4: cost 336 inf + 285829 1.950 * * [simplify]: Extracting #5: cost 7 inf + 355589 2.016 * * [simplify]: Extracting #6: cost 0 inf + 357353 2.075 * [simplify]: Simplified to: (expm1 (/ (expm1 x) x)) (log1p (/ (expm1 x) x)) (log (/ (expm1 x) x)) (log (/ (expm1 x) x)) (exp (/ (expm1 x) x)) (* (/ (expm1 x) x) (* (/ (expm1 x) x) (/ (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)) (- (expm1 x)) (- x) (/ (exp x) x) (/ 1 x) (* (/ (cbrt (expm1 x)) (cbrt x)) (/ (cbrt (expm1 x)) (cbrt x))) (/ (cbrt (expm1 x)) (cbrt x)) (/ (cbrt (expm1 x)) (/ (sqrt x) (cbrt (expm1 x)))) (/ (cbrt (expm1 x)) (sqrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x))) (/ (cbrt (expm1 x)) x) (/ (sqrt (expm1 x)) (* (cbrt x) (cbrt x))) (/ (sqrt (expm1 x)) (cbrt x)) (/ (sqrt (expm1 x)) (sqrt x)) (/ (sqrt (expm1 x)) (sqrt x)) (sqrt (expm1 x)) (/ (sqrt (expm1 x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (expm1 x) (cbrt x)) (/ 1 (sqrt x)) (/ (expm1 x) (sqrt x)) 1 (/ (expm1 x) x) (/ 1 x) (/ x (expm1 x)) (/ (/ (expm1 x) (cbrt x)) (cbrt x)) (/ (expm1 x) (sqrt x)) (expm1 x) (/ x (cbrt (expm1 x))) (/ x (sqrt (expm1 x))) (/ x (expm1 x)) (real->posit16 (/ (expm1 x) x)) (fma x (fma x 1/6 1/2) 1) (/ (expm1 x) x) (/ (expm1 x) x) 2.077 * * * [progress]: adding candidates to table 2.199 * * [progress]: iteration 2 / 4 2.199 * * * [progress]: picking best candidate 2.203 * * * * [pick]: Picked # 2.203 * * * [progress]: localizing error 2.214 * * * [progress]: generating rewritten candidates 2.214 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.215 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.215 * * * [progress]: generating series expansions 2.215 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.215 * [backup-simplify]: Simplify (fma x 1/6 1/2) into (fma x 1/6 1/2) 2.215 * [approximate]: Taking taylor expansion of (fma x 1/6 1/2) in (x) around 0 2.215 * [taylor]: Taking taylor expansion of (fma x 1/6 1/2) in x 2.216 * [taylor]: Rewrote expression to (+ (* x 1/6) 1/2) 2.216 * [taylor]: Taking taylor expansion of (* x 1/6) in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [taylor]: Taking taylor expansion of 1/6 in x 2.216 * [backup-simplify]: Simplify 1/6 into 1/6 2.216 * [taylor]: Taking taylor expansion of 1/2 in x 2.216 * [backup-simplify]: Simplify 1/2 into 1/2 2.216 * [taylor]: Taking taylor expansion of (fma x 1/6 1/2) in x 2.216 * [taylor]: Rewrote expression to (+ (* x 1/6) 1/2) 2.216 * [taylor]: Taking taylor expansion of (* x 1/6) in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [taylor]: Taking taylor expansion of 1/6 in x 2.216 * [backup-simplify]: Simplify 1/6 into 1/6 2.216 * [taylor]: Taking taylor expansion of 1/2 in x 2.216 * [backup-simplify]: Simplify 1/2 into 1/2 2.216 * [backup-simplify]: Simplify (* 0 1/6) into 0 2.217 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.217 * [backup-simplify]: Simplify 1/2 into 1/2 2.217 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/6)) into 1/6 2.218 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 2.218 * [backup-simplify]: Simplify 1/6 into 1/6 2.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/6))) into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/6)))) into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))))) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* 1/6 x) 1/2) into (+ (* 1/6 x) 1/2) 2.224 * [backup-simplify]: Simplify (fma (/ 1 x) 1/6 1/2) into (fma (/ 1 x) 1/6 1/2) 2.224 * [approximate]: Taking taylor expansion of (fma (/ 1 x) 1/6 1/2) in (x) around 0 2.224 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/6 1/2) in x 2.225 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/6) 1/2) 2.225 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/6) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [taylor]: Taking taylor expansion of 1/6 in x 2.225 * [backup-simplify]: Simplify 1/6 into 1/6 2.225 * [taylor]: Taking taylor expansion of 1/2 in x 2.225 * [backup-simplify]: Simplify 1/2 into 1/2 2.225 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/6 1/2) in x 2.225 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/6) 1/2) 2.225 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/6) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.226 * [backup-simplify]: Simplify (/ 1 1) into 1 2.226 * [taylor]: Taking taylor expansion of 1/6 in x 2.226 * [backup-simplify]: Simplify 1/6 into 1/6 2.226 * [taylor]: Taking taylor expansion of 1/2 in x 2.226 * [backup-simplify]: Simplify 1/2 into 1/2 2.226 * [backup-simplify]: Simplify (* 1 1/6) into 1/6 2.226 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 2.226 * [backup-simplify]: Simplify 1/6 into 1/6 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/6)) into 0 2.227 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.227 * [backup-simplify]: Simplify 1/2 into 1/2 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/6))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))))) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (+ 1/2 (* 1/6 (/ 1 (/ 1 x)))) into (+ (* 1/6 x) 1/2) 2.238 * [backup-simplify]: Simplify (fma (/ 1 (- x)) 1/6 1/2) into (fma (/ -1 x) 1/6 1/2) 2.238 * [approximate]: Taking taylor expansion of (fma (/ -1 x) 1/6 1/2) in (x) around 0 2.238 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/6 1/2) in x 2.238 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/6) 1/2) 2.238 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/6) in x 2.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.238 * [taylor]: Taking taylor expansion of -1 in x 2.238 * [backup-simplify]: Simplify -1 into -1 2.238 * [taylor]: Taking taylor expansion of x in x 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ -1 1) into -1 2.239 * [taylor]: Taking taylor expansion of 1/6 in x 2.239 * [backup-simplify]: Simplify 1/6 into 1/6 2.239 * [taylor]: Taking taylor expansion of 1/2 in x 2.239 * [backup-simplify]: Simplify 1/2 into 1/2 2.239 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/6 1/2) in x 2.239 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/6) 1/2) 2.239 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/6) in x 2.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.239 * [taylor]: Taking taylor expansion of -1 in x 2.239 * [backup-simplify]: Simplify -1 into -1 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [backup-simplify]: Simplify (/ -1 1) into -1 2.239 * [taylor]: Taking taylor expansion of 1/6 in x 2.239 * [backup-simplify]: Simplify 1/6 into 1/6 2.239 * [taylor]: Taking taylor expansion of 1/2 in x 2.239 * [backup-simplify]: Simplify 1/2 into 1/2 2.239 * [backup-simplify]: Simplify (* -1 1/6) into -1/6 2.240 * [backup-simplify]: Simplify (+ -1/6 0) into -1/6 2.240 * [backup-simplify]: Simplify -1/6 into -1/6 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/6)) into 0 2.241 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.241 * [backup-simplify]: Simplify 1/2 into 1/2 2.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/6))) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 2.246 * [backup-simplify]: Simplify (+ 0 0) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))))) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (+ 1/2 (* -1/6 (/ 1 (/ 1 (- x))))) into (+ (* 1/6 x) 1/2) 2.267 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.267 * [backup-simplify]: Simplify (fma x (fma x 1/6 1/2) 1) into (fma x (fma x 1/6 1/2) 1) 2.267 * [approximate]: Taking taylor expansion of (fma x (fma x 1/6 1/2) 1) in (x) around 0 2.267 * [taylor]: Taking taylor expansion of (fma x (fma x 1/6 1/2) 1) in x 2.267 * [taylor]: Rewrote expression to (+ (* x (fma x 1/6 1/2)) 1) 2.267 * [taylor]: Taking taylor expansion of (* x (fma x 1/6 1/2)) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [taylor]: Taking taylor expansion of (fma x 1/6 1/2) in x 2.267 * [taylor]: Rewrote expression to (+ (* x 1/6) 1/2) 2.267 * [taylor]: Taking taylor expansion of (* x 1/6) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [taylor]: Taking taylor expansion of 1/6 in x 2.267 * [backup-simplify]: Simplify 1/6 into 1/6 2.268 * [taylor]: Taking taylor expansion of 1/2 in x 2.268 * [backup-simplify]: Simplify 1/2 into 1/2 2.268 * [taylor]: Taking taylor expansion of 1 in x 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (fma x (fma x 1/6 1/2) 1) in x 2.268 * [taylor]: Rewrote expression to (+ (* x (fma x 1/6 1/2)) 1) 2.268 * [taylor]: Taking taylor expansion of (* x (fma x 1/6 1/2)) in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (fma x 1/6 1/2) in x 2.268 * [taylor]: Rewrote expression to (+ (* x 1/6) 1/2) 2.268 * [taylor]: Taking taylor expansion of (* x 1/6) in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of 1/6 in x 2.268 * [backup-simplify]: Simplify 1/6 into 1/6 2.268 * [taylor]: Taking taylor expansion of 1/2 in x 2.268 * [backup-simplify]: Simplify 1/2 into 1/2 2.268 * [taylor]: Taking taylor expansion of 1 in x 2.268 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (* 0 1/6) into 0 2.269 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.270 * [backup-simplify]: Simplify (* 0 1/2) into 0 2.270 * [backup-simplify]: Simplify (+ 0 1) into 1 2.270 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/6)) into 1/6 2.271 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 2.272 * [backup-simplify]: Simplify (+ (* 0 1/6) (* 1 1/2)) into 1/2 2.273 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.273 * [backup-simplify]: Simplify 1/2 into 1/2 2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/6))) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/6) (* 0 1/2))) into 1/6 2.276 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 2.276 * [backup-simplify]: Simplify 1/6 into 1/6 2.276 * [backup-simplify]: Simplify (+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) 2.277 * [backup-simplify]: Simplify (fma (/ 1 x) (fma (/ 1 x) 1/6 1/2) 1) into (fma (/ 1 x) (fma (/ 1 x) 1/6 1/2) 1) 2.277 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/6 1/2) 1) in (x) around 0 2.277 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/6 1/2) 1) in x 2.277 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/6 1/2)) 1) 2.277 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/6 1/2)) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/6 1/2) in x 2.278 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/6) 1/2) 2.278 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/6) in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (/ 1 1) into 1 2.278 * [taylor]: Taking taylor expansion of 1/6 in x 2.278 * [backup-simplify]: Simplify 1/6 into 1/6 2.278 * [taylor]: Taking taylor expansion of 1/2 in x 2.278 * [backup-simplify]: Simplify 1/2 into 1/2 2.278 * [taylor]: Taking taylor expansion of 1 in x 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/6 1/2) 1) in x 2.278 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/6 1/2)) 1) 2.278 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/6 1/2)) in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (/ 1 1) into 1 2.279 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/6 1/2) in x 2.279 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/6) 1/2) 2.279 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/6) in x 2.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (/ 1 1) into 1 2.280 * [taylor]: Taking taylor expansion of 1/6 in x 2.280 * [backup-simplify]: Simplify 1/6 into 1/6 2.280 * [taylor]: Taking taylor expansion of 1/2 in x 2.280 * [backup-simplify]: Simplify 1/2 into 1/2 2.280 * [taylor]: Taking taylor expansion of 1 in x 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (* 1 1/6) into 1/6 2.281 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 2.281 * [backup-simplify]: Simplify (* 1 1/6) into 1/6 2.282 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 2.282 * [backup-simplify]: Simplify 1/6 into 1/6 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/6)) into 0 2.284 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/6)) into 1/2 2.286 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.286 * [backup-simplify]: Simplify 1/2 into 1/2 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/6))) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/6))) into 0 2.290 * [backup-simplify]: Simplify (+ 0 1) into 1 2.290 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (+ 1 (+ (* 1/2 (/ 1 (/ 1 x))) (* 1/6 (pow (/ 1 (/ 1 x)) 2)))) into (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) 2.291 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/6 1/2) 1) into (fma (/ -1 x) (fma (/ -1 x) 1/6 1/2) 1) 2.291 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/6 1/2) 1) in (x) around 0 2.291 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/6 1/2) 1) in x 2.291 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/6 1/2)) 1) 2.291 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/6 1/2)) in x 2.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.291 * [taylor]: Taking taylor expansion of -1 in x 2.291 * [backup-simplify]: Simplify -1 into -1 2.291 * [taylor]: Taking taylor expansion of x in x 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ -1 1) into -1 2.292 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/6 1/2) in x 2.292 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/6) 1/2) 2.292 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/6) in x 2.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.292 * [taylor]: Taking taylor expansion of -1 in x 2.292 * [backup-simplify]: Simplify -1 into -1 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ -1 1) into -1 2.292 * [taylor]: Taking taylor expansion of 1/6 in x 2.293 * [backup-simplify]: Simplify 1/6 into 1/6 2.293 * [taylor]: Taking taylor expansion of 1/2 in x 2.293 * [backup-simplify]: Simplify 1/2 into 1/2 2.293 * [taylor]: Taking taylor expansion of 1 in x 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/6 1/2) 1) in x 2.293 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/6 1/2)) 1) 2.293 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/6 1/2)) in x 2.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.293 * [taylor]: Taking taylor expansion of -1 in x 2.293 * [backup-simplify]: Simplify -1 into -1 2.293 * [taylor]: Taking taylor expansion of x in x 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (/ -1 1) into -1 2.293 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/6 1/2) in x 2.294 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/6) 1/2) 2.294 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/6) in x 2.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.294 * [taylor]: Taking taylor expansion of -1 in x 2.294 * [backup-simplify]: Simplify -1 into -1 2.294 * [taylor]: Taking taylor expansion of x in x 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (/ -1 1) into -1 2.294 * [taylor]: Taking taylor expansion of 1/6 in x 2.294 * [backup-simplify]: Simplify 1/6 into 1/6 2.294 * [taylor]: Taking taylor expansion of 1/2 in x 2.294 * [backup-simplify]: Simplify 1/2 into 1/2 2.294 * [taylor]: Taking taylor expansion of 1 in x 2.294 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (* -1 1/6) into -1/6 2.295 * [backup-simplify]: Simplify (+ -1/6 0) into -1/6 2.296 * [backup-simplify]: Simplify (* -1 -1/6) into 1/6 2.296 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 2.296 * [backup-simplify]: Simplify 1/6 into 1/6 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/6)) into 0 2.298 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/6)) into -1/2 2.300 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.300 * [backup-simplify]: Simplify -1/2 into -1/2 2.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/6))) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/6))) into 0 2.305 * [backup-simplify]: Simplify (+ 0 1) into 1 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (+ 1 (+ (* -1/2 (/ 1 (/ 1 (- x)))) (* 1/6 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) 2.305 * * * [progress]: simplifying candidates 2.306 * * * * [progress]: [ 1 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 2 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 3 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 4 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 5 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 6 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 7 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 8 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 9 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 10 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 11 / 28 ] simplifiying candidate #real (real->posit16 (fma x 1/6 1/2))) 1))> 2.306 * * * * [progress]: [ 12 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 13 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 14 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 15 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 16 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 17 / 28 ] simplifiying candidate # 2.306 * * * * [progress]: [ 18 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 19 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 20 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 21 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 22 / 28 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/6 1/2) 1))))> 2.307 * * * * [progress]: [ 23 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 24 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 25 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 26 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 27 / 28 ] simplifiying candidate # 2.307 * * * * [progress]: [ 28 / 28 ] simplifiying candidate # 2.308 * [simplify]: Simplifying: (expm1 (fma x 1/6 1/2)) (log1p (fma x 1/6 1/2)) (* x 1/6) (log (fma x 1/6 1/2)) (exp (fma x 1/6 1/2)) (* (cbrt (fma x 1/6 1/2)) (cbrt (fma x 1/6 1/2))) (cbrt (fma x 1/6 1/2)) (* (* (fma x 1/6 1/2) (fma x 1/6 1/2)) (fma x 1/6 1/2)) (sqrt (fma x 1/6 1/2)) (sqrt (fma x 1/6 1/2)) (real->posit16 (fma x 1/6 1/2)) (expm1 (fma x (fma x 1/6 1/2) 1)) (log1p (fma x (fma x 1/6 1/2) 1)) (* x (fma x 1/6 1/2)) (log (fma x (fma x 1/6 1/2) 1)) (exp (fma x (fma x 1/6 1/2) 1)) (* (cbrt (fma x (fma x 1/6 1/2) 1)) (cbrt (fma x (fma x 1/6 1/2) 1))) (cbrt (fma x (fma x 1/6 1/2) 1)) (* (* (fma x (fma x 1/6 1/2) 1) (fma x (fma x 1/6 1/2) 1)) (fma x (fma x 1/6 1/2) 1)) (sqrt (fma x (fma x 1/6 1/2) 1)) (sqrt (fma x (fma x 1/6 1/2) 1)) (real->posit16 (fma x (fma x 1/6 1/2) 1)) (+ (* 1/6 x) 1/2) (+ (* 1/6 x) 1/2) (+ (* 1/6 x) 1/2) (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) (+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1)) 2.308 * * [simplify]: iteration 0: 36 enodes 2.321 * * [simplify]: iteration 1: 57 enodes 2.342 * * [simplify]: iteration 2: 116 enodes 2.382 * * [simplify]: iteration 3: 428 enodes 2.898 * * [simplify]: iteration 4: 2190 enodes 4.621 * * [simplify]: iteration complete: 5006 enodes 4.621 * * [simplify]: Extracting #0: cost 22 inf + 0 4.623 * * [simplify]: Extracting #1: cost 227 inf + 0 4.634 * * [simplify]: Extracting #2: cost 641 inf + 3704 4.672 * * [simplify]: Extracting #3: cost 427 inf + 52760 4.762 * * [simplify]: Extracting #4: cost 58 inf + 115670 4.840 * * [simplify]: Extracting #5: cost 3 inf + 127394 4.916 * * [simplify]: Extracting #6: cost 0 inf + 128436 4.997 * [simplify]: Simplified to: (expm1 (fma 1/6 x 1/2)) (log1p (fma 1/6 x 1/2)) (* x 1/6) (log (fma 1/6 x 1/2)) (exp (fma 1/6 x 1/2)) (* (cbrt (fma 1/6 x 1/2)) (cbrt (fma 1/6 x 1/2))) (cbrt (fma 1/6 x 1/2)) (* (* (fma 1/6 x 1/2) (fma 1/6 x 1/2)) (fma 1/6 x 1/2)) (sqrt (fma 1/6 x 1/2)) (sqrt (fma 1/6 x 1/2)) (real->posit16 (fma 1/6 x 1/2)) (expm1 (fma x (fma 1/6 x 1/2) 1)) (log1p (fma x (fma 1/6 x 1/2) 1)) (* x (fma 1/6 x 1/2)) (log (fma x (fma 1/6 x 1/2) 1)) (exp (fma x (fma 1/6 x 1/2) 1)) (* (cbrt (fma x (fma 1/6 x 1/2) 1)) (cbrt (fma x (fma 1/6 x 1/2) 1))) (cbrt (fma x (fma 1/6 x 1/2) 1)) (* (fma x (fma 1/6 x 1/2) 1) (* (fma x (fma 1/6 x 1/2) 1) (fma x (fma 1/6 x 1/2) 1))) (sqrt (fma x (fma 1/6 x 1/2) 1)) (sqrt (fma x (fma 1/6 x 1/2) 1)) (real->posit16 (fma x (fma 1/6 x 1/2) 1)) (fma 1/6 x 1/2) (fma 1/6 x 1/2) (fma 1/6 x 1/2) (fma x (fma 1/6 x 1/2) 1) (fma x (fma 1/6 x 1/2) 1) (fma x (fma 1/6 x 1/2) 1) 4.998 * * * [progress]: adding candidates to table 5.130 * [progress]: [Phase 3 of 3] Extracting. 5.130 * * [regime]: Finding splitpoints for: (# #) 5.131 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.131 * * * * [regimes]: Trying to branch on x from (# #) 5.149 * * * [regime]: Found split indices: #