4.831 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (- (log (- (/ 1.0 x) 1.0))) 0.038 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.039 * * [simplify]: iteration 1 : 9 enodes (cost 4 ) 0.040 * * [simplify]: iteration 2 : 9 enodes (cost 4 ) 0.040 * [simplify]: Simplified to: (- (log (- (/ 1.0 x) 1.0))) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.057 * [approximate]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in x 0.059 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [approximate]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in x 0.080 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [approximate]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in x 0.101 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in x 0.103 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * * * [progress]: simplifying candidates 0.120 * [simplify]: Simplifying using # : (expm1 (log (- (/ 1.0 x) 1.0))) (log1p (log (- (/ 1.0 x) 1.0))) (log (* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (log 1) (log (- (/ 1.0 x) 1.0)) (log (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (- (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log 1) (log (- (/ 1.0 x) 1.0)) (log (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0)))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0))) (log (+ (/ 1.0 x) 1.0)) (log (- (/ 1.0 x) 1.0)) (log (log (- (/ 1.0 x) 1.0))) (exp (log (- (/ 1.0 x) 1.0))) (* (cbrt (log (- (/ 1.0 x) 1.0))) (cbrt (log (- (/ 1.0 x) 1.0)))) (cbrt (log (- (/ 1.0 x) 1.0))) (* (* (log (- (/ 1.0 x) 1.0)) (log (- (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0))) (sqrt (log (- (/ 1.0 x) 1.0))) (sqrt (log (- (/ 1.0 x) 1.0))) (- (log 1.0) (+ (log x) (+ (* 1.0 x) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (- (log (- 1.0)) (+ (* 0.5 (/ 1 (* (pow x 2) (pow -1.0 2)))) (* 1.0 (/ 1 x)))) (- (log (- 1.0)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) 0.124 * * [simplify]: iteration 0 : 161 enodes (cost 151 ) 0.127 * * [simplify]: iteration 1 : 452 enodes (cost 138 ) 0.134 * * [simplify]: iteration 2 : 1918 enodes (cost 137 ) 0.180 * * [simplify]: iteration 3 : 5003 enodes (cost 137 ) 0.182 * [simplify]: Simplified to: (expm1 (log (- (/ 1.0 x) 1.0))) (log1p (log (- (/ 1.0 x) 1.0))) (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) 0 (log (- (/ 1.0 x) 1.0)) (log (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (- (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) 0 (log (- (/ 1.0 x) 1.0)) (log (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0)))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0))) (log (+ (/ 1.0 x) 1.0)) (log (- (/ 1.0 x) 1.0)) (log (log (- (/ 1.0 x) 1.0))) (- (/ 1.0 x) 1.0) (* (cbrt (log (- (/ 1.0 x) 1.0))) (cbrt (log (- (/ 1.0 x) 1.0)))) (cbrt (log (- (/ 1.0 x) 1.0))) (pow (log (- (/ 1.0 x) 1.0)) 3) (sqrt (log (- (/ 1.0 x) 1.0))) (sqrt (log (- (/ 1.0 x) 1.0))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (log (- 1.0)) (- (/ (/ 0.5 (pow -1.0 2)) (pow x 2)) (/ (- 1.0) x))) (- (- (log (- 1.0)) (* 1.0 (/ 1 x))) (/ 1/2 (pow x 2))) 0.182 * * * [progress]: adding candidates to table 0.232 * * [progress]: iteration 2 / 4 0.232 * * * [progress]: picking best candidate 0.235 * * * * [pick]: Picked # 0.235 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.249 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2 3) 0.270 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.294 * * * [progress]: generating series expansions 0.294 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2 3) 0.295 * [approximate]: Taking taylor expansion of (* 0.5 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow x 2) (pow 1.0 2))) in x 0.295 * [taylor]: Taking taylor expansion of 0.5 in x 0.295 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow x 2) (pow 1.0 2))) in x 0.297 * [taylor]: Taking taylor expansion of 0.5 in x 0.297 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [approximate]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.311 * [taylor]: Taking taylor expansion of 0.5 in x 0.311 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.312 * [taylor]: Taking taylor expansion of 0.5 in x 0.312 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [approximate]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.327 * [taylor]: Taking taylor expansion of 0.5 in x 0.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.328 * [taylor]: Taking taylor expansion of 0.5 in x 0.328 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.343 * [approximate]: Taking taylor expansion of (- (log 1.0) (+ (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (- (log 1.0) (+ (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) in x 0.344 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (+ (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) in x 0.344 * [taylor]: Taking taylor expansion of (log x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))) in x 0.345 * [taylor]: Rewrote expression to (+ (* 1.0 x) (* 0.5 (/ (pow x 2) (pow 1.0 2)))) 0.345 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow x 2) (pow 1.0 2))) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.345 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (- (log 1.0) (+ (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) in x 0.346 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (+ (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) in x 0.347 * [taylor]: Taking taylor expansion of (log x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))) in x 0.347 * [taylor]: Rewrote expression to (+ (* 1.0 x) (* 0.5 (/ (pow x 2) (pow 1.0 2)))) 0.347 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow x 2) (pow 1.0 2))) in x 0.347 * [taylor]: Taking taylor expansion of 0.5 in x 0.347 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [approximate]: Taking taylor expansion of (- (log 1.0) (+ (log (/ 1 x)) (fma 1.0 (/ 1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))))) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (- (log 1.0) (+ (log (/ 1 x)) (fma 1.0 (/ 1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))))) in x 0.366 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (+ (log (/ 1 x)) (fma 1.0 (/ 1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2))))) in x 0.367 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) in x 0.367 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.368 * [taylor]: Taking taylor expansion of 0.5 in x 0.368 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (- (log 1.0) (+ (log (/ 1 x)) (fma 1.0 (/ 1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))))) in x 0.369 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (+ (log (/ 1 x)) (fma 1.0 (/ 1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2))))) in x 0.369 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) in x 0.370 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) 0.370 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.370 * [taylor]: Taking taylor expansion of 0.5 in x 0.370 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [approximate]: Taking taylor expansion of (- (log 1.0) (+ (fma 1.0 (/ -1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) (log (/ -1 x)))) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (- (log 1.0) (+ (fma 1.0 (/ -1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) (log (/ -1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (+ (fma 1.0 (/ -1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) (log (/ -1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) in x 0.382 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 x)) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 x)) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.383 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (- (log 1.0) (+ (fma 1.0 (/ -1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) (log (/ -1 x)))) in x 0.384 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (+ (fma 1.0 (/ -1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) (log (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 x) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) in x 0.385 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 x)) (/ 0.5 (* (pow x 2) (pow 1.0 2)))) 0.385 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ 0.5 (* (pow x 2) (pow 1.0 2))) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.397 * * * [progress]: simplifying candidates 0.401 * [simplify]: Simplifying using # : (expm1 (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (* 0.5 (/ (pow x 2) (pow 1.0 2))) (+ (log 0.5) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 0.5) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 0.5) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 0.5) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 0.5) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 0.5) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 0.5) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 0.5) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 0.5) (- (log (pow x 2)) (log (pow 1.0 2)))) (+ (log 0.5) (log (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (exp (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 0.5 0.5) 0.5) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (pow 1.0 2) (pow 1.0 2)) (pow 1.0 2)))) (* (* (* 0.5 0.5) 0.5) (* (* (/ (pow x 2) (pow 1.0 2)) (/ (pow x 2) (pow 1.0 2))) (/ (pow x 2) (pow 1.0 2)))) (* (cbrt (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 0.5 (/ (pow x 2) (pow 1.0 2))) (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 0.5) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 0.5) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 0.5) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 0.5) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 0.5) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 0.5) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 0.5) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 0.5) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 0.5) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 0.5) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 0.5) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 0.5) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 0.5) (/ x 1.0)) (* (sqrt 0.5) (/ x 1.0)) (* (sqrt 0.5) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 0.5) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 0.5) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 0.5) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 0.5) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 0.5) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 0.5) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 0.5) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 0.5) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 0.5) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 0.5) (/ (sqrt (pow x 2)) 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(log x)) 1 (* (log x) 1)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (fma (- (log x)) 1 (* (log x) 1)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (fma (- (cbrt (log x))) (* (cbrt (log x)) (cbrt (log x))) (* (cbrt (log x)) (* (cbrt (log x)) (cbrt (log x))))) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (fma (- (sqrt (log x))) (sqrt (log x)) (* (sqrt (log x)) (sqrt (log x)))) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (fma (- (log x)) 1 (* (log x) 1)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log (cbrt 1.0)) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log (sqrt 1.0)) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (+ (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (- (log 1.0) (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) (log x)))) (- (+ (log (/ 1 x)) (log 1.0)) (+ (* 0.5 (pow x 2)) (* 1.0 x))) (- (+ (log 1.0) (log (/ -1 x))) (+ (* 0.5 (pow x 2)) (+ (log -1) (* 1.0 x)))) 0.414 * * [simplify]: iteration 0 : 762 enodes (cost 2288 ) 0.425 * * [simplify]: iteration 1 : 3082 enodes (cost 1543 ) 0.475 * * [simplify]: iteration 2 : 5001 enodes (cost 1526 ) 0.483 * [simplify]: Simplified to: (expm1 (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (* 0.5 (/ (pow x 2) (pow 1.0 2))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 2) (pow 1.0 2)))) (log (* 0.5 (/ (pow x 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2)))) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (+ (sqrt (- (log 1.0) (log x))) (sqrt (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (- (sqrt (- (log 1.0) (log x))) (sqrt (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (fma 1.0 x (log x))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (+ (log (/ 1 x)) (- (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (- (- (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log (cbrt 1.0)) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log (sqrt 1.0)) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (- (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (+ (log x) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (- (- (log 1.0) (log x)) (fma 0.5 (pow x 2) (* 1.0 x))) (- (- (log 1.0) (log x)) (fma 0.5 (pow x 2) (* 1.0 x))) (+ (log (/ -1 x)) (- (log 1.0) (fma (pow x 2) 0.5 (fma x 1.0 (log -1))))) 0.484 * * * [progress]: adding candidates to table 0.944 * [progress]: [Phase 3 of 3] Extracting. 0.944 * * [regime]: Finding splitpoints for: (# #) 0.945 * * * [regime-changes]: Trying 5 branch expressions: ((/ 1.0 x) (- (/ 1.0 x) 1.0) (log (- (/ 1.0 x) 1.0)) (- (log (- (/ 1.0 x) 1.0))) x) 0.945 * * * * [regimes]: Trying to branch on (/ 1.0 x) from (# #) 0.955 * * * * [regimes]: Trying to branch on (- (/ 1.0 x) 1.0) from (# #) 0.966 * * * * [regimes]: Trying to branch on (log (- (/ 1.0 x) 1.0)) from (# #) 0.984 * * * * [regimes]: Trying to branch on (- (log (- (/ 1.0 x) 1.0))) from (# #) 1.000 * * * * [regimes]: Trying to branch on x from (# #) 1.011 * * * [regime]: Found split indices: #