3.650 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.062 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.063 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.063 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.118 * * * [progress]: simplifying candidates 0.119 * [simplify]: Simplifying using # : (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log 1) (log (+ 1.0 x)) (log 1) (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (exp (log (+ 1.0 x))) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) 0.122 * * [simplify]: iteration 0 : 131 enodes (cost 99 ) 0.125 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.131 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.158 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.159 * [simplify]: Simplified to: (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (* 2 (log (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (pow (log (+ 1.0 x)) 3) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) 0.159 * * * [progress]: adding candidates to table 0.200 * * [progress]: iteration 2 / 4 0.201 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.223 * [approximate]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.223 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.223 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.224 * [taylor]: Taking taylor expansion of 1/2 in x 0.224 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.225 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.225 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.225 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.225 * [taylor]: Taking taylor expansion of 1/2 in x 0.225 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [approximate]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.235 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.235 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.235 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.236 * [taylor]: Taking taylor expansion of 1/2 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.236 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.237 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.237 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.238 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.238 * [taylor]: Taking taylor expansion of 1/2 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.238 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [approximate]: Taking taylor expansion of (fma (/ -1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.250 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.250 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.250 * [taylor]: Taking taylor expansion of -1 in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.250 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.251 * [taylor]: Taking taylor expansion of 1/2 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.251 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.252 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.252 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.252 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.253 * [taylor]: Taking taylor expansion of 1/2 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.253 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * * * [progress]: simplifying candidates 0.265 * [simplify]: Simplifying using # : (expm1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (log1p (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* x 1.0) (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (exp (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (* (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) 0.268 * * [simplify]: iteration 0 : 47 enodes (cost 115 ) 0.269 * * [simplify]: iteration 1 : 148 enodes (cost 97 ) 0.277 * * [simplify]: iteration 2 : 551 enodes (cost 97 ) 0.290 * * [simplify]: iteration 3 : 3494 enodes (cost 94 ) 0.390 * * [simplify]: iteration 4 : 5001 enodes (cost 94 ) 0.392 * [simplify]: Simplified to: (expm1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (log1p (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* x 1.0) (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (exp (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (fma x (- 1.0 (* 0.5 x)) (log 1.0)) (fma x (- 1.0 (* 0.5 x)) (log 1.0)) (fma x (- 1.0 (* 0.5 x)) (log 1.0)) 0.392 * * * [progress]: adding candidates to table 0.424 * * [progress]: iteration 3 / 4 0.424 * * * [progress]: picking best candidate 0.434 * * * * [pick]: Picked # 0.435 * * * [progress]: localizing error 0.440 * * * [progress]: generating rewritten candidates 0.440 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.441 * * * [progress]: generating series expansions 0.441 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.442 * [approximate]: Taking taylor expansion of (fma x (- 1.0 (* 0.5 x)) (log 1.0)) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (fma x (- 1.0 (* 0.5 x)) (log 1.0)) in x 0.442 * [taylor]: Rewrote expression to (+ (* x (- 1.0 (* 0.5 x))) (log 1.0)) 0.442 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.442 * [taylor]: Taking taylor expansion of 0.5 in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (fma x (- 1.0 (* 0.5 x)) (log 1.0)) in x 0.443 * [taylor]: Rewrote expression to (+ (* x (- 1.0 (* 0.5 x))) (log 1.0)) 0.443 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.443 * [taylor]: Taking taylor expansion of 0.5 in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (- 1.0 (* 0.5 (/ 1 x))) (log 1.0)) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (- 1.0 (* 0.5 (/ 1 x))) (log 1.0)) in x 0.459 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (- 1.0 (* 0.5 (/ 1 x)))) (log 1.0)) 0.459 * [taylor]: Taking taylor expansion of (* (/ 1 x) (- 1.0 (* 0.5 (/ 1 x)))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of 0.5 in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (- 1.0 (* 0.5 (/ 1 x))) (log 1.0)) in x 0.460 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (- 1.0 (* 0.5 (/ 1 x)))) (log 1.0)) 0.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (- 1.0 (* 0.5 (/ 1 x)))) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of 0.5 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (+ (* 0.5 (/ 1 x)) 1.0) (log 1.0)) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (+ (* 0.5 (/ 1 x)) 1.0) (log 1.0)) in x 0.471 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (+ (* 0.5 (/ 1 x)) 1.0)) (log 1.0)) 0.471 * [taylor]: Taking taylor expansion of (* (/ -1 x) (+ (* 0.5 (/ 1 x)) 1.0)) in x 0.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of 0.5 in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (+ (* 0.5 (/ 1 x)) 1.0) (log 1.0)) in x 0.472 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (+ (* 0.5 (/ 1 x)) 1.0)) (log 1.0)) 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 x) (+ (* 0.5 (/ 1 x)) 1.0)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of 0.5 in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * * * [progress]: simplifying candidates 0.482 * [simplify]: Simplifying using # : (expm1 (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (log1p (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (* x (- 1.0 (* 0.5 x))) (log (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (exp (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (* (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))) (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (* (* (fma x (- 1.0 (* 0.5 x)) (log 1.0)) (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (sqrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (sqrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) 0.484 * * [simplify]: iteration 0 : 41 enodes (cost 81 ) 0.486 * * [simplify]: iteration 1 : 101 enodes (cost 69 ) 0.489 * * [simplify]: iteration 2 : 337 enodes (cost 66 ) 0.495 * * [simplify]: iteration 3 : 1472 enodes (cost 66 ) 0.531 * * [simplify]: iteration 4 : 5001 enodes (cost 66 ) 0.532 * [simplify]: Simplified to: (expm1 (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (log1p (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (* x (- 1.0 (* 0.5 x))) (log (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (exp (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (* (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0)))) (cbrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (pow (fma x (- 1.0 (* 0.5 x)) (log 1.0)) 3) (sqrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (sqrt (fma x (- 1.0 (* 0.5 x)) (log 1.0))) (fma x (- 1.0 (* 0.5 x)) (log 1.0)) (fma x (- 1.0 (* 0.5 x)) (log 1.0)) (fma x (- 1.0 (* 0.5 x)) (log 1.0)) 0.532 * * * [progress]: adding candidates to table 0.556 * * [progress]: iteration 4 / 4 0.556 * * * [progress]: picking best candidate 0.564 * * * * [pick]: Picked # 0.565 * * * [progress]: localizing error 0.575 * * * [progress]: generating rewritten candidates 0.575 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.579 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.584 * * * [progress]: generating series expansions 0.584 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.584 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.584 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.587 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.639 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.667 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.668 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.668 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.670 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.722 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.722 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.724 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.751 * * * [progress]: simplifying candidates 0.751 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log 1) (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (exp (log (sqrt (+ 1.0 x)))) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (* (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log 1) (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (exp (log (sqrt (+ 1.0 x)))) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (* (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 0.755 * * [simplify]: iteration 0 : 143 enodes (cost 314 ) 0.758 * * [simplify]: iteration 1 : 362 enodes (cost 284 ) 0.764 * * [simplify]: iteration 2 : 1284 enodes (cost 272 ) 0.793 * * [simplify]: iteration 3 : 5002 enodes (cost 264 ) 0.795 * [simplify]: Simplified to: (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (sqrt (+ 1.0 x)) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (pow (log (sqrt (+ 1.0 x))) 3) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (sqrt (+ 1.0 x)) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (pow (log (sqrt (+ 1.0 x))) 3) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) 0.795 * * * [progress]: adding candidates to table 0.891 * [progress]: [Phase 3 of 3] Extracting. 0.892 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.892 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 0.892 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # # # # #) 0.917 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # #) 0.928 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # # # # # #) 0.956 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 0.983 * * * [regime]: Found split indices: #