5.645 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (+ x (* y (+ z x))) 0.017 * [simplify]: Sending expressions to egg_math: (+ h0 (* h2 (+ h1 h0))) 0.019 * * [simplify]: iteration 0 : 15 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 29 enodes (cost 2 ) 0.022 * * [simplify]: iteration 2 : 47 enodes (cost 2 ) 0.023 * * [simplify]: iteration 3 : 56 enodes (cost 2 ) 0.025 * * [simplify]: iteration 4 : 63 enodes (cost 2 ) 0.026 * * [simplify]: iteration 5 : 81 enodes (cost 2 ) 0.028 * * [simplify]: iteration 6 : 144 enodes (cost 2 ) 0.030 * * [simplify]: iteration 7 : 198 enodes (cost 2 ) 0.032 * * [simplify]: iteration 8 : 251 enodes (cost 2 ) 0.035 * * [simplify]: iteration 9 : 379 enodes (cost 2 ) 0.039 * * [simplify]: iteration 10 : 634 enodes (cost 2 ) 0.051 * * [simplify]: iteration 11 : 1809 enodes (cost 2 ) 0.131 * * [simplify]: iteration 12 : 5001 enodes (cost 2 ) 0.134 * * [progress]: iteration 1 / 4 0.134 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.140 * * * [progress]: generating rewritten candidates 0.140 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.159 * [backup-simplify]: Simplify (* y (+ z x)) into (* (+ x z) y) 0.159 * [approximate]: Taking taylor expansion of (* (+ x z) y) in (y z x) around 0 0.159 * [taylor]: Taking taylor expansion of (* (+ x z) y) in x 0.159 * [taylor]: Taking taylor expansion of (+ x z) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of z in x 0.159 * [backup-simplify]: Simplify z into z 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [taylor]: Taking taylor expansion of (* (+ x z) y) in z 0.159 * [taylor]: Taking taylor expansion of (+ x z) in z 0.159 * [taylor]: Taking taylor expansion of x in z 0.159 * [backup-simplify]: Simplify x into x 0.159 * [taylor]: Taking taylor expansion of z in z 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of y in z 0.159 * [backup-simplify]: Simplify y into y 0.159 * [taylor]: Taking taylor expansion of (* (+ x z) y) in y 0.159 * [taylor]: Taking taylor expansion of (+ x z) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [backup-simplify]: Simplify x into x 0.159 * [taylor]: Taking taylor expansion of z in y 0.159 * [backup-simplify]: Simplify z into z 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of (* (+ x z) y) in y 0.159 * [taylor]: Taking taylor expansion of (+ x z) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [backup-simplify]: Simplify x into x 0.159 * [taylor]: Taking taylor expansion of z in y 0.159 * [backup-simplify]: Simplify z into z 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ x z) into (+ x z) 0.160 * [backup-simplify]: Simplify (* (+ x z) 0) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in z 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [taylor]: Taking taylor expansion of 0 in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (+ (* (+ x z) 1) (* 0 0)) into (+ x z) 0.160 * [taylor]: Taking taylor expansion of (+ x z) in z 0.160 * [taylor]: Taking taylor expansion of x in z 0.160 * [backup-simplify]: Simplify x into x 0.160 * [taylor]: Taking taylor expansion of z in z 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ x 0) into x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* (+ x z) 0) (+ (* 0 1) (* 0 0))) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ 0 1) into 1 0.162 * [taylor]: Taking taylor expansion of 1 in x 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of 0 in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (+ (* (+ x z) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 (* x (* 1 y))) (* 1 (* 1 (* z y)))) into (+ (* z y) (* x y)) 0.163 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 z) (/ 1 x))) into (/ (+ (/ 1 z) (/ 1 x)) y) 0.163 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in (y z x) around 0 0.163 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.163 * [taylor]: Taking taylor expansion of z in x 0.163 * [backup-simplify]: Simplify z into z 0.163 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in z 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in z 0.164 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.164 * [taylor]: Taking taylor expansion of z in z 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.164 * [taylor]: Taking taylor expansion of x in z 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.164 * [taylor]: Taking taylor expansion of y in z 0.164 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [backup-simplify]: Simplify z into z 0.165 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [backup-simplify]: Simplify x into x 0.165 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (/ 1 z) (/ 1 x)) into (+ (/ 1 z) (/ 1 x)) 0.165 * [backup-simplify]: Simplify (/ (+ (/ 1 z) (/ 1 x)) 1) into (+ (/ 1 z) (/ 1 x)) 0.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [backup-simplify]: Simplify z into z 0.165 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [backup-simplify]: Simplify x into x 0.165 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (/ 1 z) (/ 1 x)) into (+ (/ 1 z) (/ 1 x)) 0.165 * [backup-simplify]: Simplify (/ (+ (/ 1 z) (/ 1 x)) 1) into (+ (/ 1 z) (/ 1 x)) 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in z 0.165 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.165 * [taylor]: Taking taylor expansion of z in z 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.166 * [taylor]: Taking taylor expansion of x in z 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [taylor]: Taking taylor expansion of 1 in x 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 z) (/ 1 x)) (/ 0 1)))) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 z) (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in z 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [taylor]: Taking taylor expansion of 0 in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 z) (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [taylor]: Taking taylor expansion of 0 in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [taylor]: Taking taylor expansion of 0 in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 z)) (/ 1 (/ 1 y))))) (* 1 (* (/ 1 (/ 1 x)) (* 1 (/ 1 (/ 1 y)))))) into (+ (* z y) (* x y)) 0.176 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- z)) (/ 1 (- x)))) into (/ (+ (/ 1 z) (/ 1 x)) y) 0.176 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in (y z x) around 0 0.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.177 * [taylor]: Taking taylor expansion of z in x 0.177 * [backup-simplify]: Simplify z into z 0.177 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [backup-simplify]: Simplify y into y 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in z 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in z 0.177 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.177 * [taylor]: Taking taylor expansion of z in z 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.177 * [taylor]: Taking taylor expansion of x in z 0.178 * [backup-simplify]: Simplify x into x 0.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.178 * [taylor]: Taking taylor expansion of y in z 0.178 * [backup-simplify]: Simplify y into y 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.178 * [taylor]: Taking taylor expansion of z in y 0.178 * [backup-simplify]: Simplify z into z 0.178 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ (/ 1 z) (/ 1 x)) into (+ (/ 1 z) (/ 1 x)) 0.178 * [backup-simplify]: Simplify (/ (+ (/ 1 z) (/ 1 x)) 1) into (+ (/ 1 z) (/ 1 x)) 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) (/ 1 x)) y) in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.178 * [taylor]: Taking taylor expansion of z in y 0.178 * [backup-simplify]: Simplify z into z 0.178 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ (/ 1 z) (/ 1 x)) into (+ (/ 1 z) (/ 1 x)) 0.179 * [backup-simplify]: Simplify (/ (+ (/ 1 z) (/ 1 x)) 1) into (+ (/ 1 z) (/ 1 x)) 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in z 0.179 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.179 * [taylor]: Taking taylor expansion of z in z 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.179 * [taylor]: Taking taylor expansion of x in z 0.179 * [backup-simplify]: Simplify x into x 0.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [taylor]: Taking taylor expansion of 1 in x 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 z) (/ 1 x)) (/ 0 1)))) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 z) (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in z 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [taylor]: Taking taylor expansion of 0 in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 z) (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in z 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [taylor]: Taking taylor expansion of 0 in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- z))) (/ 1 (/ 1 (- y)))))) (* 1 (* (/ 1 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- y))))))) into (+ (* z y) (* x y)) 0.187 * * * [progress]: simplifying candidates 0.188 * [simplify]: Simplifying: (expm1 (* y (+ z x))) (log1p (* y (+ z x))) (* y (+ z x)) (+ (log y) (log (+ z x))) (log (* y (+ z x))) (exp (* y (+ z x))) (* (* (* y y) y) (* (* (+ z x) (+ z x)) (+ z x))) (* (cbrt (* y (+ z x))) (cbrt (* y (+ z x)))) (cbrt (* y (+ z x))) (* (* (* y (+ z x)) (* y (+ z x))) (* y (+ z x))) (sqrt (* y (+ z x))) (sqrt (* y (+ z x))) (* (sqrt y) (sqrt (+ z x))) (* (sqrt y) (sqrt (+ z x))) (* y z) (* y x) (* z y) (* x y) (* y (* (cbrt (+ z x)) (cbrt (+ z x)))) (* y (sqrt (+ z x))) (* y 1) (* y 1) (* (cbrt y) (+ z x)) (* (sqrt y) (+ z x)) (* y (+ z x)) (* y (+ (pow z 3) (pow x 3))) (* y (- (* z z) (* x x))) (+ (* z y) (* x y)) (+ (* z y) (* x y)) (+ (* z y) (* x y)) 0.188 * [simplify]: Sending expressions to egg_math: (expm1 (* h2 (+ h1 h0))) (log1p (* h2 (+ h1 h0))) (* h2 (+ h1 h0)) (+ (log h2) (log (+ h1 h0))) (log (* h2 (+ h1 h0))) (exp (* h2 (+ h1 h0))) (* (* (* h2 h2) h2) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h2 (+ h1 h0))) (cbrt (* h2 (+ h1 h0)))) (cbrt (* h2 (+ h1 h0))) (* (* (* h2 (+ h1 h0)) (* h2 (+ h1 h0))) (* h2 (+ h1 h0))) (sqrt (* h2 (+ h1 h0))) (sqrt (* h2 (+ h1 h0))) (* (sqrt h2) (sqrt (+ h1 h0))) (* (sqrt h2) (sqrt (+ h1 h0))) (* h2 h1) (* h2 h0) (* h1 h2) (* h0 h2) (* h2 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h2 (sqrt (+ h1 h0))) (* h2 1) (* h2 1) (* (cbrt h2) (+ h1 h0)) (* (sqrt h2) (+ h1 h0)) (* h2 (+ h1 h0)) (* h2 (+ (pow h1 3) (pow h0 3))) (* h2 (- (* h1 h1) (* h0 h0))) (+ (* h1 h2) (* h0 h2)) (+ (* h1 h2) (* h0 h2)) (+ (* h1 h2) (* h0 h2)) 0.190 * * [simplify]: iteration 0 : 129 enodes (cost 92 ) 0.193 * * [simplify]: iteration 1 : 558 enodes (cost 82 ) 0.204 * * [simplify]: iteration 2 : 2262 enodes (cost 82 ) 0.236 * * [simplify]: iteration 3 : 5003 enodes (cost 82 ) 0.237 * * * [progress]: adding candidates to table 0.277 * * [progress]: iteration 2 / 4 0.277 * * * [progress]: picking best candidate 0.280 * * * * [pick]: Picked # 0.280 * * * [progress]: localizing error 0.285 * * * [progress]: generating rewritten candidates 0.285 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.293 * * * [progress]: generating series expansions 0.293 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.294 * [backup-simplify]: Simplify (+ (* y z) (* y x)) into (+ (* z y) (* x y)) 0.294 * [approximate]: Taking taylor expansion of (+ (* z y) (* x y)) in (y z x) around 0 0.294 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in x 0.294 * [taylor]: Taking taylor expansion of (* z y) in x 0.294 * [taylor]: Taking taylor expansion of z in x 0.294 * [backup-simplify]: Simplify z into z 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (* x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in z 0.294 * [taylor]: Taking taylor expansion of (* z y) in z 0.294 * [taylor]: Taking taylor expansion of z in z 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of y in z 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (* x y) in z 0.294 * [taylor]: Taking taylor expansion of x in z 0.294 * [backup-simplify]: Simplify x into x 0.294 * [taylor]: Taking taylor expansion of y in z 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in y 0.294 * [taylor]: Taking taylor expansion of (* z y) in y 0.294 * [taylor]: Taking taylor expansion of z in y 0.294 * [backup-simplify]: Simplify z into z 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (* x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in y 0.294 * [taylor]: Taking taylor expansion of (* z y) in y 0.294 * [taylor]: Taking taylor expansion of z in y 0.294 * [backup-simplify]: Simplify z into z 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (* x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* z 0) into 0 0.294 * [backup-simplify]: Simplify (* x 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in z 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [taylor]: Taking taylor expansion of 0 in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.295 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.295 * [backup-simplify]: Simplify (+ z x) into (+ x z) 0.295 * [taylor]: Taking taylor expansion of (+ x z) in z 0.295 * [taylor]: Taking taylor expansion of x in z 0.295 * [backup-simplify]: Simplify x into x 0.295 * [taylor]: Taking taylor expansion of z in z 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ x 0) into x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [taylor]: Taking taylor expansion of 0 in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.296 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ 0 1) into 1 0.297 * [taylor]: Taking taylor expansion of 1 in x 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [taylor]: Taking taylor expansion of 0 in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [taylor]: Taking taylor expansion of 0 in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [taylor]: Taking taylor expansion of 0 in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [taylor]: Taking taylor expansion of 0 in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 (* x (* 1 y))) (* 1 (* 1 (* z y)))) into (+ (* z y) (* x y)) 0.299 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 z)) (* (/ 1 y) (/ 1 x))) into (+ (/ 1 (* z y)) (/ 1 (* x y))) 0.299 * [approximate]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in (y z x) around 0 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.299 * [taylor]: Taking taylor expansion of (* z y) in x 0.299 * [taylor]: Taking taylor expansion of z in x 0.299 * [backup-simplify]: Simplify z into z 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (* z y) into (* z y) 0.299 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.299 * [taylor]: Taking taylor expansion of (* x y) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (* 0 y) into 0 0.299 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.300 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in z 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.300 * [taylor]: Taking taylor expansion of (* z y) in z 0.300 * [taylor]: Taking taylor expansion of z in z 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of y in z 0.300 * [backup-simplify]: Simplify y into y 0.300 * [backup-simplify]: Simplify (* 0 y) into 0 0.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.300 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.300 * [taylor]: Taking taylor expansion of (* x y) in z 0.300 * [taylor]: Taking taylor expansion of x in z 0.300 * [backup-simplify]: Simplify x into x 0.300 * [taylor]: Taking taylor expansion of y in z 0.300 * [backup-simplify]: Simplify y into y 0.300 * [backup-simplify]: Simplify (* x y) into (* x y) 0.300 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.300 * [taylor]: Taking taylor expansion of (* z y) in y 0.300 * [taylor]: Taking taylor expansion of z in y 0.300 * [backup-simplify]: Simplify z into z 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* z 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.301 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.301 * [taylor]: Taking taylor expansion of (* x y) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* x 0) into 0 0.301 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.301 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.301 * [taylor]: Taking taylor expansion of (* z y) in y 0.301 * [taylor]: Taking taylor expansion of z in y 0.301 * [backup-simplify]: Simplify z into z 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* z 0) into 0 0.301 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.301 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.301 * [taylor]: Taking taylor expansion of (* x y) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* x 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.302 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.302 * [backup-simplify]: Simplify (+ (/ 1 z) (/ 1 x)) into (+ (/ 1 z) (/ 1 x)) 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in z 0.302 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.302 * [taylor]: Taking taylor expansion of z in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.302 * [taylor]: Taking taylor expansion of x in z 0.302 * [backup-simplify]: Simplify x into x 0.302 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in z 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in z 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [taylor]: Taking taylor expansion of 0 in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in z 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [taylor]: Taking taylor expansion of 0 in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [taylor]: Taking taylor expansion of 0 in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 z)) (/ 1 (/ 1 y))))) (* 1 (* (/ 1 (/ 1 x)) (* 1 (/ 1 (/ 1 y)))))) into (+ (* z y) (* x y)) 0.311 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- z))) (* (/ 1 (- y)) (/ 1 (- x)))) into (+ (/ 1 (* z y)) (/ 1 (* x y))) 0.311 * [approximate]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in (y z x) around 0 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.311 * [taylor]: Taking taylor expansion of (* z y) in x 0.311 * [taylor]: Taking taylor expansion of z in x 0.311 * [backup-simplify]: Simplify z into z 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* z y) into (* z y) 0.311 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.311 * [taylor]: Taking taylor expansion of (* x y) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* 0 y) into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.311 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in z 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.311 * [taylor]: Taking taylor expansion of (* z y) in z 0.311 * [taylor]: Taking taylor expansion of z in z 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of y in z 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* 0 y) into 0 0.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.312 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.312 * [taylor]: Taking taylor expansion of (* x y) in z 0.312 * [taylor]: Taking taylor expansion of x in z 0.312 * [backup-simplify]: Simplify x into x 0.312 * [taylor]: Taking taylor expansion of y in z 0.312 * [backup-simplify]: Simplify y into y 0.312 * [backup-simplify]: Simplify (* x y) into (* x y) 0.312 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.312 * [taylor]: Taking taylor expansion of (* z y) in y 0.312 * [taylor]: Taking taylor expansion of z in y 0.312 * [backup-simplify]: Simplify z into z 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* z 0) into 0 0.312 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.312 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.312 * [taylor]: Taking taylor expansion of (* x y) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [backup-simplify]: Simplify x into x 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* x 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (/ 1 (* x y))) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.313 * [taylor]: Taking taylor expansion of (* z y) in y 0.313 * [taylor]: Taking taylor expansion of z in y 0.313 * [backup-simplify]: Simplify z into z 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* z 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.313 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.313 * [taylor]: Taking taylor expansion of (* x y) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* x 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.314 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.314 * [backup-simplify]: Simplify (+ (/ 1 z) (/ 1 x)) into (+ (/ 1 z) (/ 1 x)) 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 x)) in z 0.314 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.314 * [taylor]: Taking taylor expansion of z in z 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.314 * [taylor]: Taking taylor expansion of x in z 0.314 * [backup-simplify]: Simplify x into x 0.314 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in z 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in z 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [taylor]: Taking taylor expansion of 0 in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [taylor]: Taking taylor expansion of 0 in z 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- z))) (/ 1 (/ 1 (- y)))))) (* 1 (* (/ 1 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- y))))))) into (+ (* z y) (* x y)) 0.322 * * * [progress]: simplifying candidates 0.323 * [simplify]: Simplifying: (expm1 (+ (* y z) (* y x))) (log1p (+ (* y z) (* y x))) (* (exp (* y z)) (exp (* y x))) (log (+ (* y z) (* y x))) (exp (+ (* y z) (* y x))) (* (cbrt (+ (* y z) (* y x))) (cbrt (+ (* y z) (* y x)))) (cbrt (+ (* y z) (* y x))) (* (* (+ (* y z) (* y x)) (+ (* y z) (* y x))) (+ (* y z) (* y x))) (sqrt (+ (* y z) (* y x))) (sqrt (+ (* y z) (* y x))) (+ (pow (* y z) 3) (pow (* y x) 3)) (+ (* (* y z) (* y z)) (- (* (* y x) (* y x)) (* (* y z) (* y x)))) (- (* (* y z) (* y z)) (* (* y x) (* y x))) (- (* y z) (* y x)) (+ z x) (+ (* z y) (* x y)) (+ (* z y) (* x y)) (+ (* z y) (* x y)) 0.323 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* h1 h2) (* h1 h0))) (log1p (+ (* h1 h2) (* h1 h0))) (* (exp (* h1 h2)) (exp (* h1 h0))) (log (+ (* h1 h2) (* h1 h0))) (exp (+ (* h1 h2) (* h1 h0))) (* (cbrt (+ (* h1 h2) (* h1 h0))) (cbrt (+ (* h1 h2) (* h1 h0)))) (cbrt (+ (* h1 h2) (* h1 h0))) (* (* (+ (* h1 h2) (* h1 h0)) (+ (* h1 h2) (* h1 h0))) (+ (* h1 h2) (* h1 h0))) (sqrt (+ (* h1 h2) (* h1 h0))) (sqrt (+ (* h1 h2) (* h1 h0))) (+ (pow (* h1 h2) 3) (pow (* h1 h0) 3)) (+ (* (* h1 h2) (* h1 h2)) (- (* (* h1 h0) (* h1 h0)) (* (* h1 h2) (* h1 h0)))) (- (* (* h1 h2) (* h1 h2)) (* (* h1 h0) (* h1 h0))) (- (* h1 h2) (* h1 h0)) (+ h2 h0) (+ (* h2 h1) (* h0 h1)) (+ (* h2 h1) (* h0 h1)) (+ (* h2 h1) (* h0 h1)) 0.325 * * [simplify]: iteration 0 : 107 enodes (cost 80 ) 0.328 * * [simplify]: iteration 1 : 408 enodes (cost 69 ) 0.338 * * [simplify]: iteration 2 : 1582 enodes (cost 68 ) 0.369 * * [simplify]: iteration 3 : 5001 enodes (cost 67 ) 0.370 * * * [progress]: adding candidates to table 0.403 * * [progress]: iteration 3 / 4 0.403 * * * [progress]: picking best candidate 0.404 * * * * [pick]: Picked # 0.404 * * * [progress]: localizing error 0.410 * * * [progress]: generating rewritten candidates 0.410 * * * [progress]: generating series expansions 0.410 * * * [progress]: simplifying candidates 0.410 * [simplify]: Simplifying: 0.410 * [simplify]: Sending expressions to egg_math: 0.412 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.412 * * * [progress]: adding candidates to table 0.412 * [progress]: [Phase 3 of 3] Extracting. 0.414 * [simplify]: Simplifying: (+ x (fma y z (* y x))) 0.414 * [simplify]: Sending expressions to egg_math: (+ h0 (fma h1 h2 (* h1 h0))) 0.414 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.414 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.926 * [regime-testing]: End program error score: 0.01114763407944022