23.583 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (* (+ a (+ b (+ c d))) 2.0) 0.039 * * [simplify]: iteration 0 : 17 enodes (cost 4 ) 0.040 * * [simplify]: iteration 1 : 53 enodes (cost 4 ) 0.042 * * [simplify]: iteration 2 : 145 enodes (cost 4 ) 0.044 * * [simplify]: iteration 3 : 268 enodes (cost 4 ) 0.047 * * [simplify]: iteration 4 : 290 enodes (cost 4 ) 0.050 * * [simplify]: iteration 5 : 290 enodes (cost 4 ) 0.050 * [simplify]: Simplified to: (* (+ a (+ b (+ c d))) 2.0) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.078 * [approximate]: Approximating (+ d (+ a (+ b c))) in (a b c d) around 0 0.079 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.079 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.079 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.080 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.080 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.080 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.081 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.081 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.081 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.082 * [approximate]: Approximating (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in (a b c d) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.096 * [approximate]: Approximating (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in (a b c d) around 0 0.100 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in b 0.101 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in b 0.102 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.102 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.104 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in b 0.105 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.106 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.106 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.106 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.106 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.108 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in b 0.108 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.110 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.110 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.110 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.111 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.111 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.111 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.112 * [approximate]: Approximating (+ d (+ b c)) in (b c d) around 0 0.112 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in c 0.113 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in d 0.113 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in c 0.113 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in d 0.114 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in d 0.114 * [approximate]: Approximating (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in (b c d) around 0 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in c 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in c 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in c 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.121 * [approximate]: Approximating (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in (b c d) around 0 0.124 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in c 0.125 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in c 0.126 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in d 0.126 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in d 0.127 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in c 0.128 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in d 0.129 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in d 0.129 * * * [progress]: simplifying candidates 0.130 * [simplify]: Simplifying using # : (* (exp a) (* (exp b) (* (exp c) (exp d)))) (* (exp a) (* (exp b) (exp (+ c d)))) (* (exp a) (exp (+ b (+ c d)))) (log (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (* (cbrt (+ a (+ b (+ c d)))) (cbrt (+ a (+ b (+ c d))))) (cbrt (+ a (+ b (+ c d)))) (* (* (+ a (+ b (+ c d))) (+ a (+ b (+ c d)))) (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (+ (pow a 3) (pow (+ b (+ c d)) 3)) (+ (* a a) (- (* (+ b (+ c d)) (+ b (+ c d))) (* a (+ b (+ c d))))) (- (* a a) (* (+ b (+ c d)) (+ b (+ c d)))) (- a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a b) (* (exp b) (* (exp c) (exp d))) (* (exp b) (exp (+ c d))) (log (+ b (+ c d))) (exp (+ b (+ c d))) (* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d)))) (cbrt (+ b (+ c d))) (* (* (+ b (+ c d)) (+ b (+ c d))) (+ b (+ c d))) (sqrt (+ b (+ c d))) (sqrt (+ b (+ c d))) (+ (pow b 3) (pow (+ c d) 3)) (+ (* b b) (- (* (+ c d) (+ c d)) (* b (+ c d)))) (- (* b b) (* (+ c d) (+ c d))) (- b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b c) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 0.133 * * [simplify]: iteration 0 : 170 enodes (cost 150 ) 0.136 * * [simplify]: iteration 1 : 667 enodes (cost 143 ) 0.149 * * [simplify]: iteration 2 : 4074 enodes (cost 143 ) 0.208 * * [simplify]: iteration 3 : 5001 enodes (cost 143 ) 0.209 * [simplify]: Simplified to: (exp (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (log (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (* (cbrt (+ a (+ b (+ c d)))) (cbrt (+ a (+ b (+ c d))))) (cbrt (+ a (+ b (+ c d)))) (pow (+ a (+ b (+ c d))) 3) (sqrt (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (+ (pow a 3) (pow (+ b (+ c d)) 3)) (+ (* (+ b (+ c d)) (- (+ b (+ c d)) a)) (* a a)) (- (* a a) (* (+ b (+ c d)) (+ b (+ c d)))) (- a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a b) (exp (+ b (+ c d))) (exp (+ b (+ c d))) (log (+ b (+ c d))) (exp (+ b (+ c d))) (* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d)))) (cbrt (+ b (+ c d))) (pow (+ b (+ c d)) 3) (sqrt (+ b (+ c d))) (sqrt (+ b (+ c d))) (+ (pow b 3) (pow (+ c d) 3)) (+ (* (+ c d) (- (+ c d) b)) (* b b)) (- (* b b) (* (+ c d) (+ c d))) (- b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b c) (+ a (+ b c)) (+ b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) 0.210 * * * [progress]: adding candidates to table 0.288 * * [progress]: iteration 2 / 4 0.289 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.318 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.334 * [approximate]: Approximating (+ d (+ a (+ b c))) in (a b c d) around 0 0.334 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.334 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.334 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.335 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.335 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.335 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.336 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.336 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.336 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.337 * [approximate]: Approximating (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.351 * [approximate]: Approximating (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.354 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.355 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.357 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.357 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.359 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.360 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.361 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.361 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.361 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.361 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.363 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.363 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.365 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.365 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.366 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.366 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.366 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.366 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.367 * * * [progress]: simplifying candidates 0.368 * [simplify]: Simplifying using # : (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 0.370 * * [simplify]: iteration 0 : 112 enodes (cost 92 ) 0.373 * * [simplify]: iteration 1 : 463 enodes (cost 85 ) 0.383 * * [simplify]: iteration 2 : 3032 enodes (cost 85 ) 0.428 * * [simplify]: iteration 3 : 5002 enodes (cost 85 ) 0.429 * [simplify]: Simplified to: (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* (+ (+ b c) d) (- (+ (+ b c) d) a)) (* a a)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (+ a (+ b c)) (+ (+ b c) d) (+ (+ b c) d) 0.430 * * * [progress]: adding candidates to table 0.463 * * [progress]: iteration 3 / 4 0.463 * * * [progress]: picking best candidate 0.496 * * * * [pick]: Picked # 0.496 * * * [progress]: localizing error 0.510 * * * [progress]: generating rewritten candidates 0.510 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 1) 0.518 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.527 * * * [progress]: generating series expansions 0.527 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 1) 0.528 * [approximate]: Approximating (+ d (+ a (+ b c))) in (a b c d) around 0 0.528 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.528 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.528 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.530 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.530 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.530 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.530 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.530 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.531 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.532 * [approximate]: Approximating (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.546 * [approximate]: Approximating (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.549 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.550 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.551 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.551 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.553 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.554 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.555 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.555 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.555 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.555 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.557 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.558 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.559 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.559 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.560 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.561 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.561 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.561 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.562 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.562 * [approximate]: Approximating (+ d (+ a (+ b c))) in (a b c d) around 0 0.562 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.562 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.562 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.563 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.563 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.563 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.564 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.564 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.565 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.565 * [approximate]: Approximating (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.579 * [approximate]: Approximating (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.593 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.595 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.601 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.602 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.607 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.609 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.613 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.614 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.614 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.615 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.620 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.620 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.623 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.624 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.625 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.627 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.627 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.627 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.630 * * * [progress]: simplifying candidates 0.631 * [simplify]: Simplifying using # : (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (log (cbrt (pow (+ a (+ (+ b c) d)) 3))) (exp (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt 1) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) (cbrt (pow (+ (pow a 3) (pow (+ (+ b c) d) 3)) 3)) (cbrt (pow (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) 3)) (cbrt (pow (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) 3)) (cbrt (pow (- a (+ (+ b c) d)) 3)) (* (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (* (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (+ a (+ (+ b c) d)) 3))) (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ a (+ b c)) (+ d (+ b c)) (neg (+ (* (cbrt -1) b) (+ (* (cbrt -1) c) (* d (cbrt -1))))) 0.635 * * [simplify]: iteration 0 : 210 enodes (cost 277 ) 0.639 * * [simplify]: iteration 1 : 906 enodes (cost 275 ) 0.656 * * [simplify]: iteration 2 : 5001 enodes (cost 273 ) 0.659 * [simplify]: Simplified to: (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* (+ (+ b c) d) (- (+ (+ b c) d) a)) (* a a)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) 1 (+ a (+ (+ b c) d)) (cbrt (pow (+ a (+ (+ b c) d)) 3/2)) (cbrt (pow (+ a (+ (+ b c) d)) 3/2)) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* (+ (+ b c) d) (- (+ (+ b c) d) a)) (* a a)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ a (+ b c)) (+ (+ b c) d) (+ (+ b c) d) (+ a (+ b c)) (+ (+ b c) d) (* (cbrt -1) (- (neg b) (+ c d))) 0.659 * * * [progress]: adding candidates to table 0.744 * * [progress]: iteration 4 / 4 0.744 * * * [progress]: picking best candidate 0.806 * * * * [pick]: Picked # 0.806 * * * [progress]: localizing error 0.819 * * * [progress]: generating rewritten candidates 0.819 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1 1 1) 0.827 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.844 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.857 * * * [progress]: generating series expansions 0.857 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1 1 1) 0.857 * [approximate]: Approximating (+ d (+ a (+ b c))) in (a b c d) around 0 0.857 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.858 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.858 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.859 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.859 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.859 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.860 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.860 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.860 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.861 * [approximate]: Approximating (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.875 * [approximate]: Approximating (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.878 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.879 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.881 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.881 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.883 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.884 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.885 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.885 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.885 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.885 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.887 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.887 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.889 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.889 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.889 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.890 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.890 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.890 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.891 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.892 * [approximate]: Approximating (+ d (+ a (+ b c))) in (a b c d) around 0 0.892 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.892 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.892 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.893 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.893 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.893 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.894 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.894 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.894 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.895 * [approximate]: Approximating (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.909 * [approximate]: Approximating (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.924 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.926 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.932 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.933 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.938 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.940 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.944 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.945 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.945 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.946 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.951 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.951 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.955 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.956 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.957 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.959 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.959 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.959 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.962 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.962 * [approximate]: Approximating (+ d (+ a (+ b c))) in (a b c d) around 0 0.962 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.963 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.963 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.964 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.964 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.964 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.964 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.964 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.965 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.966 * [approximate]: Approximating (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.980 * [approximate]: Approximating (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.989 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.992 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 1.005 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.006 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.011 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 1.013 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.017 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.018 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.018 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.019 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.023 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 1.023 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.027 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.028 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.029 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.031 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.031 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.031 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.034 * * * [progress]: simplifying candidates 1.036 * [simplify]: Simplifying using # : (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (log (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (exp (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (cbrt (pow (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) 3)) (cbrt (pow (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (cbrt (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)))) 3)) (cbrt (pow (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) 3)) (cbrt (pow (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (cbrt 1) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) 3)) (cbrt (pow (* (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3)))) 3)) (cbrt (pow (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow 1 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (* (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)))) (cbrt (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (cbrt (pow (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) 3)) (cbrt (pow (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (cbrt (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)))) 3)) (cbrt (pow (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) 3)) (cbrt (pow (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow 1 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (cbrt 1) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) 3)) (cbrt (pow (* (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3)))) 3)) (cbrt (pow (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) 3)) (cbrt (pow 1 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (sqrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (cbrt (sqrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (cbrt 1) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) (/ 3 2))) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) (/ 3 2))) (cbrt (pow (cbrt (pow (+ (pow a 3) (pow (+ (+ b c) d) 3)) 3)) 3)) (cbrt (pow (cbrt (pow (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) 3)) 3)) (cbrt (pow (cbrt (pow (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) 3)) 3)) (cbrt (pow (cbrt (pow (- a (+ (+ b c) d)) 3)) 3)) (* (cbrt (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (cbrt (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)))) (cbrt (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (* (* (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3)) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (sqrt (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (sqrt (cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))) (log (cbrt (pow (+ a (+ (+ b c) d)) 3))) (exp (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt 1) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) (cbrt (pow (+ (pow a 3) (pow (+ (+ b c) d) 3)) 3)) (cbrt (pow (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) 3)) (cbrt (pow (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) 3)) (cbrt (pow (- a (+ (+ b c) d)) 3)) (* (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (* (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (+ a (+ (+ b c) d)) 3))) (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ a (+ b c)) (+ d (+ b c)) (neg (+ (* (cbrt -1) b) (+ (* (cbrt -1) c) (* d (cbrt -1))))) (+ a (+ b c)) (+ d (+ b c)) (neg (+ (* (cbrt -1) b) (+ (* (cbrt -1) c) (* d (cbrt -1))))) 1.043 * * [simplify]: iteration 0 : 342 enodes (cost 702 ) 1.048 * * [simplify]: iteration 1 : 1021 enodes (cost 698 ) 1.067 * * [simplify]: iteration 2 : 5002 enodes (cost 694 ) 1.072 * [simplify]: Simplified to: (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (cbrt (* (+ a 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(cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) 1 (+ a (+ (+ b c) d)) (cbrt (pow (+ a (+ (+ b c) d)) 3/2)) (cbrt (pow (+ a (+ (+ b c) d)) 3/2)) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* (+ (+ b c) d) (- (+ (+ b c) d) a)) (* a a)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ a (+ b c)) (+ (+ b c) d) (+ (+ b c) d) (+ a (+ b c)) (+ (+ b c) d) (* (cbrt -1) (- (neg b) (+ c d))) (+ a (+ b c)) (+ (+ b c) d) (* (cbrt -1) (- (neg b) (+ c d))) 1.073 * * * [progress]: adding candidates to table 1.230 * [progress]: [Phase 3 of 3] Extracting. 1.230 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 1.239 * * * [regime-changes]: Trying 6 branch expressions: ((+ c d) (+ b (+ c d)) d c b a) 1.239 * * * * [regimes]: Trying to branch on (+ c d) from (# # # # # # # # # # # # # # # # #) 1.375 * * * * [regimes]: Trying to branch on (+ c d) from (# #) 1.424 * * * * [regimes]: Trying to branch on (+ b (+ c d)) from (# # # # # # # # # # # # # # # # #) 1.560 * * * * [regimes]: Trying to branch on (+ b (+ c d)) from (# #) 1.610 * * * * [regimes]: Trying to branch on d from (# # # # # # # # # # # # # # # # #) 1.745 * * * * [regimes]: Trying to branch on c from (# # # # # # # # # # # # # # # # #) 1.887 * * * * [regimes]: Trying to branch on b from (# # # # # # # # # # # # # # # # #) 2.026 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # #) 2.169 * * * [regime]: Found split indices: #