28.117 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (* (+ a b) (+ a b)) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: Extracting # 3 : cost 0 0.031 * * [simplify]: Extracting # 4 : cost 0 0.031 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: iteration 1 : 13 enodes (cost 7 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: Extracting # 3 : cost 0 0.045 * * [simplify]: iteration 2 : 73 enodes (cost 7 ) 0.138 * * [simplify]: Extracting # 0 : cost 0 0.139 * * [simplify]: Extracting # 1 : cost 0 0.139 * * [simplify]: Extracting # 2 : cost 0 0.139 * * [simplify]: iteration 3 : 173 enodes (cost 7 ) 0.169 * * [simplify]: Extracting # 0 : cost 0 0.169 * * [simplify]: Extracting # 1 : cost 0 0.169 * * [simplify]: Extracting # 2 : cost 0 0.169 * * [simplify]: iteration 4 : 210 enodes (cost 7 ) 0.209 * * [simplify]: Extracting # 0 : cost 0 0.209 * * [simplify]: iteration 5 : 254 enodes (cost 7 ) 0.243 * * [simplify]: Extracting # 0 : cost 0 0.243 * * [simplify]: Extracting # 1 : cost 0 0.244 * * [simplify]: iteration 6 : 258 enodes (cost 7 ) 0.290 * * [simplify]: Extracting # 0 : cost 0 0.290 * * [simplify]: iteration done: 258 enodes (cost 7 ) 0.290 * [simplify]: Simplified to: (* (+ a b) (+ a b)) 0.291 * * [progress]: iteration 1 / 4 0.291 * * * [progress]: picking best candidate 0.293 * * * * [pick]: Picked # 0.293 * * * [progress]: localizing error 0.301 * * * [progress]: generating rewritten candidates 0.301 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.346 * * * [progress]: generating series expansions 0.346 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.346 * [backup-simplify]: Simplify (* (+ a b) (+ a b)) into (pow (+ a b) 2) 0.346 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.346 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.346 * [taylor]: Taking taylor expansion of (+ a b) in b 0.346 * [taylor]: Taking taylor expansion of a in b 0.346 * [backup-simplify]: Simplify a into a 0.346 * [taylor]: Taking taylor expansion of b in b 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (+ a 0) into a 0.346 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.346 * [taylor]: Taking taylor expansion of (+ a b) in a 0.346 * [taylor]: Taking taylor expansion of a in a 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of b in a 0.347 * [backup-simplify]: Simplify b into b 0.347 * [backup-simplify]: Simplify (+ 0 b) into b 0.347 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.347 * [taylor]: Taking taylor expansion of (+ a b) in a 0.347 * [taylor]: Taking taylor expansion of a in a 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of b in a 0.347 * [backup-simplify]: Simplify b into b 0.347 * [backup-simplify]: Simplify (+ 0 b) into b 0.347 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.347 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.347 * [taylor]: Taking taylor expansion of b in b 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (+ (* b 1) (* 1 b)) into (* 2 b) 0.348 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.348 * [taylor]: Taking taylor expansion of 2 in b 0.348 * [backup-simplify]: Simplify 2 into 2 0.348 * [taylor]: Taking taylor expansion of b in b 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 2 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 b))) into 1 0.349 * [taylor]: Taking taylor expansion of 1 in b 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.350 * [backup-simplify]: Simplify 2 into 2 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.352 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.352 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.352 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.352 * [taylor]: Taking taylor expansion of b in b 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.352 * [taylor]: Taking taylor expansion of a in b 0.352 * [backup-simplify]: Simplify a into a 0.352 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.353 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.353 * [taylor]: Taking taylor expansion of b in a 0.353 * [backup-simplify]: Simplify b into b 0.353 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.353 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.353 * [taylor]: Taking taylor expansion of a in a 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (+ 0 1) into 1 0.354 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.354 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.354 * [taylor]: Taking taylor expansion of b in a 0.354 * [backup-simplify]: Simplify b into b 0.354 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.354 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.354 * [taylor]: Taking taylor expansion of a in a 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ 0 1) into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of 1 in b 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.356 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.356 * [taylor]: Taking taylor expansion of 2 in b 0.356 * [backup-simplify]: Simplify 2 into 2 0.356 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.357 * [taylor]: Taking taylor expansion of b in b 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.359 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.359 * [taylor]: Taking taylor expansion of b in b 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 2 1) into 2 0.361 * [backup-simplify]: Simplify 2 into 2 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (+ (* 2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.362 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.362 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.362 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.362 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.362 * [taylor]: Taking taylor expansion of b in b 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.362 * [taylor]: Taking taylor expansion of a in b 0.363 * [backup-simplify]: Simplify a into a 0.363 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.363 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.363 * [taylor]: Taking taylor expansion of b in a 0.363 * [backup-simplify]: Simplify b into b 0.363 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.363 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.363 * [taylor]: Taking taylor expansion of a in a 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (+ 0 1) into 1 0.364 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.364 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.364 * [taylor]: Taking taylor expansion of b in a 0.364 * [backup-simplify]: Simplify b into b 0.364 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.364 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.364 * [taylor]: Taking taylor expansion of a in a 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (+ 0 1) into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of 1 in b 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.367 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.367 * [taylor]: Taking taylor expansion of 2 in b 0.367 * [backup-simplify]: Simplify 2 into 2 0.367 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.367 * [taylor]: Taking taylor expansion of b in b 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.370 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.370 * [taylor]: Taking taylor expansion of b in b 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 2 1) into 2 0.371 * [backup-simplify]: Simplify 2 into 2 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.372 * * * [progress]: simplifying candidates 0.373 * [simplify]: Simplifying: (expm1 (* (+ a b) (+ a b))) (log1p (* (+ a b) (+ a b))) (+ 1 1) (* (+ a b) (+ a b)) (+ 1 1) (+ (log (+ a b)) (log (+ a b))) (log (* (+ a b) (+ a b))) (exp (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)) (* (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (+ a b)) (cbrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 2 1) (* (+ a b) a) (* (+ a b) b) (* a (+ a b)) (* b (+ a b)) (* (+ a b) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (+ a b) (sqrt (+ a b))) (* (+ a b) 1) (* (+ a b) 1) (* (cbrt (+ a b)) (+ a b)) (* (sqrt (+ a b)) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (+ a b) (- (* a a) (* b b))) (* (+ (pow a 3) (pow b 3)) (+ a b)) (* (- (* a a) (* b b)) (+ a b)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.374 * * [simplify]: Extracting # 0 : cost 0 0.374 * * [simplify]: Extracting # 1 : cost 0 0.374 * * [simplify]: Extracting # 2 : cost 0 0.374 * * [simplify]: Extracting # 3 : cost 0 0.375 * * [simplify]: Extracting # 4 : cost 0 0.375 * * [simplify]: Extracting # 5 : cost 0 0.375 * * [simplify]: Extracting # 6 : cost 0 0.375 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.450 * * [simplify]: Extracting # 0 : cost 0 0.450 * * [simplify]: Extracting # 1 : cost 0 0.451 * * [simplify]: Extracting # 2 : cost 0 0.452 * * [simplify]: Extracting # 3 : cost 0 0.452 * * [simplify]: Extracting # 4 : cost 0 0.453 * * [simplify]: Extracting # 5 : cost 0 0.453 * * [simplify]: iteration 1 : 583 enodes (cost 462 ) 1.891 * * [simplify]: Extracting # 0 : cost 0 1.896 * * [simplify]: Extracting # 1 : cost 0 1.903 * * [simplify]: Extracting # 2 : cost 0 1.909 * * [simplify]: Extracting # 3 : cost 0 1.915 * * [simplify]: Extracting # 4 : cost 0 1.923 * * [simplify]: Extracting # 5 : cost 0 1.929 * * [simplify]: iteration done: 5000 enodes (cost 400 ) 1.930 * [simplify]: Simplified to: (expm1 (* (+ a b) (+ a b))) (log1p (* (+ a b) (+ a b))) 2 (* (+ a b) (+ a b)) 2 (* (log (+ a b)) 2) (* (log (+ a b)) 2) (exp (* (+ a b) (+ a b))) (pow (+ a b) (* 2 3)) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (pow (+ a b) (* 2 3)) (fabs (+ a b)) (fabs (+ a b)) (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma a a (* b (- b a))) (- a b)) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma a a (* b (- b a))) (- a b)) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)) (* (cbrt (+ a b)) (+ a b)) (* (cbrt (+ a b)) (cbrt (+ a b))) (+ a b) (+ a b) 1 (* (+ a b) (+ a b)) 1 (* (+ a b) (+ a b)) 1 (* (+ a b) (+ a b)) 1 (* (+ a b) (+ a b)) (+ a b) (+ a b) 2 (* (+ a b) a) (* b (+ a b)) (* (+ a b) a) (* b (+ a b)) (* (+ a b) (* (cbrt (+ a b)) (cbrt (+ a b)))) (pow (sqrt (+ a b)) 3) (+ a b) (+ a b) (* (cbrt (+ a b)) (+ a b)) (pow (sqrt (+ a b)) 3) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- (* a a) (* b b)) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- (* a a) (* b b)) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) 1.930 * * * [progress]: adding candidates to table 1.996 * * [progress]: iteration 2 / 4 1.996 * * * [progress]: picking best candidate 2.001 * * * * [pick]: Picked # 2.001 * * * [progress]: localizing error 2.011 * * * [progress]: generating rewritten candidates 2.011 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.071 * * * [progress]: generating series expansions 2.071 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.071 * [backup-simplify]: Simplify (* b (+ a b)) into (* (+ a b) b) 2.071 * [approximate]: Taking taylor expansion of (* (+ a b) b) in (b a) around 0 2.071 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 2.071 * [taylor]: Taking taylor expansion of (+ a b) in a 2.071 * [taylor]: Taking taylor expansion of a in a 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of b in a 2.072 * [backup-simplify]: Simplify b into b 2.072 * [taylor]: Taking taylor expansion of b in a 2.072 * [backup-simplify]: Simplify b into b 2.072 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 2.072 * [taylor]: Taking taylor expansion of (+ a b) in b 2.072 * [taylor]: Taking taylor expansion of a in b 2.072 * [backup-simplify]: Simplify a into a 2.072 * [taylor]: Taking taylor expansion of b in b 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of b in b 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 2.072 * [taylor]: Taking taylor expansion of (+ a b) in b 2.072 * [taylor]: Taking taylor expansion of a in b 2.072 * [backup-simplify]: Simplify a into a 2.072 * [taylor]: Taking taylor expansion of b in b 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of b in b 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (+ a 0) into a 2.072 * [backup-simplify]: Simplify (* a 0) into 0 2.072 * [taylor]: Taking taylor expansion of 0 in a 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ 0 1) into 1 2.073 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 2.074 * [taylor]: Taking taylor expansion of a in a 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 2.075 * [taylor]: Taking taylor expansion of 1 in a 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in a 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.077 * [taylor]: Taking taylor expansion of 0 in a 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (+ (* 1 (* a b)) (* 1 (pow (* 1 b) 2))) into (+ (* a b) (pow b 2)) 2.078 * [backup-simplify]: Simplify (* (/ 1 b) (+ (/ 1 a) (/ 1 b))) into (/ (+ (/ 1 b) (/ 1 a)) b) 2.078 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in (b a) around 0 2.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in a 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 2.078 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.078 * [taylor]: Taking taylor expansion of b in a 2.078 * [backup-simplify]: Simplify b into b 2.078 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.078 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.078 * [taylor]: Taking taylor expansion of a in a 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [taylor]: Taking taylor expansion of b in a 2.079 * [backup-simplify]: Simplify b into b 2.079 * [backup-simplify]: Simplify (+ 0 1) into 1 2.079 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in b 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 2.079 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.079 * [taylor]: Taking taylor expansion of b in b 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.080 * [taylor]: Taking taylor expansion of a in b 2.080 * [backup-simplify]: Simplify a into a 2.080 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.080 * [taylor]: Taking taylor expansion of b in b 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (+ 1 0) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in b 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 2.081 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.081 * [taylor]: Taking taylor expansion of b in b 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.081 * [taylor]: Taking taylor expansion of a in b 2.081 * [backup-simplify]: Simplify a into a 2.081 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.081 * [taylor]: Taking taylor expansion of b in b 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [taylor]: Taking taylor expansion of 1 in a 2.082 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 2.084 * [backup-simplify]: Simplify (- (/ (/ 1 a) 1) (+ (* 1 (/ 0 1)))) into (/ 1 a) 2.084 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.084 * [taylor]: Taking taylor expansion of a in a 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ 0 1)))) into 0 2.092 * [taylor]: Taking taylor expansion of 0 in a 2.092 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.095 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [taylor]: Taking taylor expansion of 0 in a 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [taylor]: Taking taylor expansion of 0 in a 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 1 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (+ (* a b) (pow b 2)) 2.102 * [backup-simplify]: Simplify (* (/ 1 (- b)) (+ (/ 1 (- a)) (/ 1 (- b)))) into (/ (+ (/ 1 b) (/ 1 a)) b) 2.102 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in (b a) around 0 2.102 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in a 2.102 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 2.102 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.102 * [taylor]: Taking taylor expansion of b in a 2.102 * [backup-simplify]: Simplify b into b 2.102 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.102 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.102 * [taylor]: Taking taylor expansion of a in a 2.102 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [taylor]: Taking taylor expansion of b in a 2.103 * [backup-simplify]: Simplify b into b 2.103 * [backup-simplify]: Simplify (+ 0 1) into 1 2.103 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.103 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in b 2.103 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 2.103 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.103 * [taylor]: Taking taylor expansion of b in b 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (/ 1 1) into 1 2.104 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.104 * [taylor]: Taking taylor expansion of a in b 2.104 * [backup-simplify]: Simplify a into a 2.104 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.104 * [taylor]: Taking taylor expansion of b in b 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (+ 1 0) into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.105 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in b 2.105 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 2.105 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.105 * [taylor]: Taking taylor expansion of b in b 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.105 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.105 * [taylor]: Taking taylor expansion of a in b 2.105 * [backup-simplify]: Simplify a into a 2.105 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.105 * [taylor]: Taking taylor expansion of b in b 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (+ 1 0) into 1 2.106 * [backup-simplify]: Simplify (/ 1 1) into 1 2.107 * [taylor]: Taking taylor expansion of 1 in a 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 2.108 * [backup-simplify]: Simplify (- (/ (/ 1 a) 1) (+ (* 1 (/ 0 1)))) into (/ 1 a) 2.108 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.108 * [taylor]: Taking taylor expansion of a in a 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ 0 1)))) into 0 2.111 * [taylor]: Taking taylor expansion of 0 in a 2.111 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [taylor]: Taking taylor expansion of 0 in a 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in a 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 1 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (+ (* a b) (pow b 2)) 2.119 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.120 * [backup-simplify]: Simplify (+ (* (+ a b) a) (* b (+ a b))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.120 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 2.120 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 2.120 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.120 * [taylor]: Taking taylor expansion of a in b 2.120 * [backup-simplify]: Simplify a into a 2.120 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 2.120 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.120 * [taylor]: Taking taylor expansion of 2 in b 2.120 * [backup-simplify]: Simplify 2 into 2 2.120 * [taylor]: Taking taylor expansion of (* a b) in b 2.120 * [taylor]: Taking taylor expansion of a in b 2.120 * [backup-simplify]: Simplify a into a 2.120 * [taylor]: Taking taylor expansion of b in b 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.120 * [taylor]: Taking taylor expansion of b in b 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 2.120 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.120 * [taylor]: Taking taylor expansion of a in a 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 2.120 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 2.120 * [taylor]: Taking taylor expansion of 2 in a 2.120 * [backup-simplify]: Simplify 2 into 2 2.120 * [taylor]: Taking taylor expansion of (* a b) in a 2.121 * [taylor]: Taking taylor expansion of a in a 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of b in a 2.121 * [backup-simplify]: Simplify b into b 2.121 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.121 * [taylor]: Taking taylor expansion of b in a 2.121 * [backup-simplify]: Simplify b into b 2.121 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 2.121 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.121 * [taylor]: Taking taylor expansion of a in a 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 2.121 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 2.121 * [taylor]: Taking taylor expansion of 2 in a 2.121 * [backup-simplify]: Simplify 2 into 2 2.121 * [taylor]: Taking taylor expansion of (* a b) in a 2.121 * [taylor]: Taking taylor expansion of a in a 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of b in a 2.121 * [backup-simplify]: Simplify b into b 2.121 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.121 * [taylor]: Taking taylor expansion of b in a 2.121 * [backup-simplify]: Simplify b into b 2.121 * [backup-simplify]: Simplify (* 0 b) into 0 2.122 * [backup-simplify]: Simplify (* 2 0) into 0 2.122 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.122 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 2.122 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 2.122 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.122 * [taylor]: Taking taylor expansion of b in b 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.123 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 2.123 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 2.123 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 2.123 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 2.123 * [taylor]: Taking taylor expansion of (* 2 b) in b 2.123 * [taylor]: Taking taylor expansion of 2 in b 2.123 * [backup-simplify]: Simplify 2 into 2 2.123 * [taylor]: Taking taylor expansion of b in b 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (* 2 0) into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (* 1 1) into 1 2.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 2.126 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (+ 1 0) into 1 2.126 * [taylor]: Taking taylor expansion of 1 in b 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.127 * [backup-simplify]: Simplify 2 into 2 2.128 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.129 * [backup-simplify]: Simplify (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b)))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 2.129 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.129 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.129 * [taylor]: Taking taylor expansion of b in b 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.129 * [backup-simplify]: Simplify (/ 1 1) into 1 2.129 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.130 * [taylor]: Taking taylor expansion of 2 in b 2.130 * [backup-simplify]: Simplify 2 into 2 2.130 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.130 * [taylor]: Taking taylor expansion of (* a b) in b 2.130 * [taylor]: Taking taylor expansion of a in b 2.130 * [backup-simplify]: Simplify a into a 2.130 * [taylor]: Taking taylor expansion of b in b 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (* a 0) into 0 2.130 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.130 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.130 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.130 * [taylor]: Taking taylor expansion of a in b 2.130 * [backup-simplify]: Simplify a into a 2.130 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.131 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.131 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.131 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.131 * [taylor]: Taking taylor expansion of b in a 2.131 * [backup-simplify]: Simplify b into b 2.131 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.131 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.131 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.131 * [taylor]: Taking taylor expansion of 2 in a 2.131 * [backup-simplify]: Simplify 2 into 2 2.131 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.131 * [taylor]: Taking taylor expansion of (* a b) in a 2.131 * [taylor]: Taking taylor expansion of a in a 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [taylor]: Taking taylor expansion of b in a 2.131 * [backup-simplify]: Simplify b into b 2.131 * [backup-simplify]: Simplify (* 0 b) into 0 2.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.132 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.132 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.132 * [taylor]: Taking taylor expansion of a in a 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (* 1 1) into 1 2.132 * [backup-simplify]: Simplify (/ 1 1) into 1 2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.133 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.133 * [taylor]: Taking taylor expansion of b in a 2.133 * [backup-simplify]: Simplify b into b 2.133 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.133 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.133 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.133 * [taylor]: Taking taylor expansion of 2 in a 2.133 * [backup-simplify]: Simplify 2 into 2 2.133 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.133 * [taylor]: Taking taylor expansion of (* a b) in a 2.133 * [taylor]: Taking taylor expansion of a in a 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of b in a 2.133 * [backup-simplify]: Simplify b into b 2.133 * [backup-simplify]: Simplify (* 0 b) into 0 2.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.134 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.134 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.134 * [taylor]: Taking taylor expansion of a in a 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (* 1 1) into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [backup-simplify]: Simplify (+ 0 1) into 1 2.135 * [backup-simplify]: Simplify (+ 0 1) into 1 2.135 * [taylor]: Taking taylor expansion of 1 in b 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 2.136 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 2.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 2.136 * [taylor]: Taking taylor expansion of 2 in b 2.136 * [backup-simplify]: Simplify 2 into 2 2.136 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.136 * [taylor]: Taking taylor expansion of b in b 2.136 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.139 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.139 * [taylor]: Taking taylor expansion of b in b 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.140 * [backup-simplify]: Simplify (/ 1 1) into 1 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (* 2 1) into 2 2.140 * [backup-simplify]: Simplify 2 into 2 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (+ (* 2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.141 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (+ (/ 1 (- a)) (/ 1 (- b))))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 2.141 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.141 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.141 * [taylor]: Taking taylor expansion of b in b 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.141 * [taylor]: Taking taylor expansion of 2 in b 2.141 * [backup-simplify]: Simplify 2 into 2 2.141 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.141 * [taylor]: Taking taylor expansion of (* a b) in b 2.141 * [taylor]: Taking taylor expansion of a in b 2.141 * [backup-simplify]: Simplify a into a 2.141 * [taylor]: Taking taylor expansion of b in b 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (* a 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.142 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.142 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.142 * [taylor]: Taking taylor expansion of a in b 2.142 * [backup-simplify]: Simplify a into a 2.142 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.142 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.142 * [taylor]: Taking taylor expansion of b in a 2.142 * [backup-simplify]: Simplify b into b 2.142 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.142 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.142 * [taylor]: Taking taylor expansion of 2 in a 2.142 * [backup-simplify]: Simplify 2 into 2 2.142 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.142 * [taylor]: Taking taylor expansion of (* a b) in a 2.142 * [taylor]: Taking taylor expansion of a in a 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [taylor]: Taking taylor expansion of b in a 2.143 * [backup-simplify]: Simplify b into b 2.143 * [backup-simplify]: Simplify (* 0 b) into 0 2.143 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.143 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.143 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.143 * [taylor]: Taking taylor expansion of a in a 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (* 1 1) into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.144 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.144 * [taylor]: Taking taylor expansion of b in a 2.144 * [backup-simplify]: Simplify b into b 2.144 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.144 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.144 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.144 * [taylor]: Taking taylor expansion of 2 in a 2.144 * [backup-simplify]: Simplify 2 into 2 2.144 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.144 * [taylor]: Taking taylor expansion of (* a b) in a 2.144 * [taylor]: Taking taylor expansion of a in a 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [taylor]: Taking taylor expansion of b in a 2.144 * [backup-simplify]: Simplify b into b 2.144 * [backup-simplify]: Simplify (* 0 b) into 0 2.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.144 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.144 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.144 * [taylor]: Taking taylor expansion of a in a 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.145 * [taylor]: Taking taylor expansion of 1 in b 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 2.146 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 2.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 2.146 * [taylor]: Taking taylor expansion of 2 in b 2.146 * [backup-simplify]: Simplify 2 into 2 2.146 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.146 * [taylor]: Taking taylor expansion of b in b 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.149 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.149 * [taylor]: Taking taylor expansion of b in b 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (* 1 1) into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (* 2 1) into 2 2.150 * [backup-simplify]: Simplify 2 into 2 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.150 * * * [progress]: simplifying candidates 2.151 * [simplify]: Simplifying: (expm1 (* b (+ a b))) (log1p (* b (+ a b))) (* b (+ a b)) (+ (log b) (log (+ a b))) (log (* b (+ a b))) (exp (* b (+ a b))) (* (* (* b b) b) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (* b (+ a b))) (cbrt (* b (+ a b)))) (cbrt (* b (+ a b))) (* (* (* b (+ a b)) (* b (+ a b))) (* b (+ a b))) (sqrt (* b (+ a b))) (sqrt (* b (+ a b))) (* (sqrt b) (sqrt (+ a b))) (* (sqrt b) (sqrt (+ a b))) (* b a) (* b b) (* a b) (* b b) (* b (* (cbrt (+ a b)) (cbrt (+ a b)))) (* b (sqrt (+ a b))) (* b 1) (* b 1) (* (cbrt b) (+ a b)) (* (sqrt b) (+ a b)) (* b (+ a b)) (* b (+ (pow a 3) (pow b 3))) (* b (- (* a a) (* b b))) (expm1 (+ (* (+ a b) a) (* b (+ a b)))) (log1p (+ (* (+ a b) a) (* b (+ a b)))) (* (exp (* (+ a b) a)) (exp (* b (+ a b)))) (log (+ (* (+ a b) a) (* b (+ a b)))) (exp (+ (* (+ a b) a) (* b (+ a b)))) (* (cbrt (+ (* (+ a b) a) (* b (+ a b)))) (cbrt (+ (* (+ a b) a) (* b (+ a b))))) (cbrt (+ (* (+ a b) a) (* b (+ a b)))) (* (* (+ (* (+ a b) a) (* b (+ a b))) (+ (* (+ a b) a) (* b (+ a b)))) (+ (* (+ a b) a) (* b (+ a b)))) (sqrt (+ (* (+ a b) a) (* b (+ a b)))) (sqrt (+ (* (+ a b) a) (* b (+ a b)))) (+ (* (* (+ (pow a 3) (pow b 3)) a) (+ (* a a) (- (* b b) (* a b)))) (* (+ (* a a) (- (* b b) (* a b))) (* b (+ (pow a 3) (pow b 3))))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (+ (* (* (+ (pow a 3) (pow b 3)) a) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (+ (* (* (- (* a a) (* b b)) a) (+ (* a a) (- (* b b) (* a b)))) (* (- a b) (* b (+ (pow a 3) (pow b 3))))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (+ (* (* (- (* a a) (* b b)) a) (- a b)) (* (- a b) (* b (- (* a a) (* b b))))) (* (- a b) (- a b)) (+ (pow (* (+ a b) a) 3) (pow (* b (+ a b)) 3)) (+ (* (* (+ a b) a) (* (+ a b) a)) (- (* (* b (+ a b)) (* b (+ a b))) (* (* (+ a b) a) (* b (+ a b))))) (- (* (* (+ a b) a) (* (+ a b) a)) (* (* b (+ a b)) (* b (+ a b)))) (- (* (+ a b) a) (* b (+ a b))) (+ (* (+ a b) a) (* b a)) (+ (* (+ a b) a) (* a b)) (+ (* a b) (pow b 2)) (+ (* a b) (pow b 2)) (+ (* a b) (pow b 2)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.152 * * [simplify]: Extracting # 0 : cost 0 2.152 * * [simplify]: Extracting # 1 : cost 0 2.152 * * [simplify]: Extracting # 2 : cost 0 2.153 * * [simplify]: Extracting # 3 : cost 0 2.153 * * [simplify]: Extracting # 4 : cost 0 2.153 * * [simplify]: Extracting # 5 : cost 0 2.153 * * [simplify]: Extracting # 6 : cost 0 2.153 * * [simplify]: iteration 0 : 95 enodes (cost 704 ) 2.241 * * [simplify]: Extracting # 0 : cost 0 2.242 * * [simplify]: Extracting # 1 : cost 0 2.243 * * [simplify]: Extracting # 2 : cost 0 2.244 * * [simplify]: Extracting # 3 : cost 0 2.245 * * [simplify]: Extracting # 4 : cost 0 2.246 * * [simplify]: Extracting # 5 : cost 0 2.246 * * [simplify]: iteration 1 : 705 enodes (cost 598 ) 3.528 * * [simplify]: Extracting # 0 : cost 0 3.538 * * [simplify]: Extracting # 1 : cost 0 3.548 * * [simplify]: Extracting # 2 : cost 0 3.555 * * [simplify]: Extracting # 3 : cost 0 3.562 * * [simplify]: Extracting # 4 : cost 0 3.568 * * [simplify]: Extracting # 5 : cost 0 3.575 * * [simplify]: iteration done: 5001 enodes (cost 516 ) 3.575 * [simplify]: Simplified to: (expm1 (* b (+ a b))) (log1p (* b (+ a b))) (* (+ a b) b) (log (* (+ a b) b)) (log (* (+ a b) b)) (exp (* b (+ a b))) (pow (* (+ a b) b) 3) (* (cbrt (* b (+ a b))) (cbrt (* b (+ a b)))) (cbrt (* b (+ a b))) (pow (* (+ a b) b) 3) (sqrt (* b (+ a b))) (sqrt (* b (+ a b))) (* (sqrt b) (sqrt (+ a b))) (* (sqrt b) (sqrt (+ a b))) (* b a) (* b b) (* b a) (* b b) (* b (* (cbrt (+ a b)) (cbrt (+ a b)))) (* b (sqrt (+ a b))) b b (* (cbrt b) (+ a b)) (* (sqrt b) (+ a b)) (* (+ a b) b) (* b (+ (pow a 3) (pow b 3))) (* b (- (* a a) (* b b))) (expm1 (* (+ a b) (+ a b))) (log1p (* (+ a b) (+ a b))) (exp (* (+ a b) (+ a b))) (* 2 (log (+ a b))) (exp (* (+ a b) (+ a b))) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (pow (+ a b) (* 2 3)) (fabs (+ a b)) (fabs (+ a b)) (* (fma a a (* b (- b a))) (+ (* b (+ (pow a 3) (pow b 3))) (* (+ (pow a 3) (pow b 3)) a))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))) (fma (fma a a (* b (- b a))) (* b (- (* a a) (* b b))) (* (* (+ (pow a 3) (pow b 3)) a) (- a b))) (* (fma a a (* b (- b a))) (- a b)) (fma (fma a a (* b (- b a))) (* (- (* a a) (* b b)) a) (* (- a b) (* b (+ (pow a 3) (pow b 3))))) (* (fma a a (* b (- b a))) (- a b)) (* (- (* a a) (* b b)) (+ (* (- a b) b) (* a (- a b)))) (* (- a b) (- a b)) (* (pow (+ a b) 3) (+ (pow a 3) (pow b 3))) (fma (* (+ a b) (- b a)) (* (+ a b) b) (* (* (+ a b) a) (* (+ a b) a))) (* (* (+ a b) (+ a b)) (- (* a a) (* b b))) (- (* a a) (* b b)) (* a (+ (+ a b) b)) (* a (+ (+ a b) b)) (* (+ a b) b) (* (+ a b) b) (* (+ a b) b) (fma b b (fma a a (* 2 (* a b)))) (fma b b (fma a a (* 2 (* a b)))) (fma b b (fma a a (* 2 (* a b)))) 3.575 * * * [progress]: adding candidates to table 3.678 * * [progress]: iteration 3 / 4 3.678 * * * [progress]: picking best candidate 3.680 * * * * [pick]: Picked # 3.680 * * * [progress]: localizing error 3.688 * * * [progress]: generating rewritten candidates 3.688 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.689 * * * [progress]: generating series expansions 3.689 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.689 * [backup-simplify]: Simplify (fma b b (fma a a (* 2 (* a b)))) into (fma b b (fma a a (* 2 (* a b)))) 3.689 * [approximate]: Taking taylor expansion of (fma b b (fma a a (* 2 (* a b)))) in (b a) around 0 3.689 * [taylor]: Taking taylor expansion of (fma b b (fma a a (* 2 (* a b)))) in a 3.689 * [taylor]: Rewrote expression to (+ (* b b) (fma a a (* 2 (* a b)))) 3.689 * [taylor]: Taking taylor expansion of (* b b) in a 3.689 * [taylor]: Taking taylor expansion of b in a 3.690 * [backup-simplify]: Simplify b into b 3.690 * [taylor]: Taking taylor expansion of b in a 3.690 * [backup-simplify]: Simplify b into b 3.690 * [taylor]: Taking taylor expansion of (fma a a (* 2 (* a b))) in a 3.690 * [taylor]: Rewrote expression to (+ (* a a) (* 2 (* a b))) 3.690 * [taylor]: Taking taylor expansion of (* a a) in a 3.690 * [taylor]: Taking taylor expansion of a in a 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of a in a 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 3.690 * [taylor]: Taking taylor expansion of 2 in a 3.690 * [backup-simplify]: Simplify 2 into 2 3.690 * [taylor]: Taking taylor expansion of (* a b) in a 3.690 * [taylor]: Taking taylor expansion of a in a 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of b in a 3.690 * [backup-simplify]: Simplify b into b 3.690 * [taylor]: Taking taylor expansion of (fma b b (fma a a (* 2 (* a b)))) in b 3.690 * [taylor]: Rewrote expression to (+ (* b b) (fma a a (* 2 (* a b)))) 3.690 * [taylor]: Taking taylor expansion of (* b b) in b 3.690 * [taylor]: Taking taylor expansion of b in b 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of b in b 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of (fma a a (* 2 (* a b))) in b 3.690 * [taylor]: Rewrote expression to (+ (* a a) (* 2 (* a b))) 3.690 * [taylor]: Taking taylor expansion of (* a a) in b 3.690 * [taylor]: Taking taylor expansion of a in b 3.690 * [backup-simplify]: Simplify a into a 3.690 * [taylor]: Taking taylor expansion of a in b 3.690 * [backup-simplify]: Simplify a into a 3.690 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 3.690 * [taylor]: Taking taylor expansion of 2 in b 3.690 * [backup-simplify]: Simplify 2 into 2 3.690 * [taylor]: Taking taylor expansion of (* a b) in b 3.690 * [taylor]: Taking taylor expansion of a in b 3.690 * [backup-simplify]: Simplify a into a 3.690 * [taylor]: Taking taylor expansion of b in b 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of (fma b b (fma a a (* 2 (* a b)))) in b 3.691 * [taylor]: Rewrote expression to (+ (* b b) (fma a a (* 2 (* a b)))) 3.691 * [taylor]: Taking taylor expansion of (* b b) in b 3.691 * [taylor]: Taking taylor expansion of b in b 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [taylor]: Taking taylor expansion of b in b 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [taylor]: Taking taylor expansion of (fma a a (* 2 (* a b))) in b 3.691 * [taylor]: Rewrote expression to (+ (* a a) (* 2 (* a b))) 3.691 * [taylor]: Taking taylor expansion of (* a a) in b 3.691 * [taylor]: Taking taylor expansion of a in b 3.691 * [backup-simplify]: Simplify a into a 3.691 * [taylor]: Taking taylor expansion of a in b 3.691 * [backup-simplify]: Simplify a into a 3.691 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 3.691 * [taylor]: Taking taylor expansion of 2 in b 3.691 * [backup-simplify]: Simplify 2 into 2 3.691 * [taylor]: Taking taylor expansion of (* a b) in b 3.691 * [taylor]: Taking taylor expansion of a in b 3.691 * [backup-simplify]: Simplify a into a 3.691 * [taylor]: Taking taylor expansion of b in b 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (* 0 0) into 0 3.692 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.692 * [backup-simplify]: Simplify (* a 0) into 0 3.692 * [backup-simplify]: Simplify (* 2 0) into 0 3.692 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 3.692 * [backup-simplify]: Simplify (+ 0 (pow a 2)) into (pow a 2) 3.692 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.692 * [taylor]: Taking taylor expansion of a in a 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.693 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.693 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.693 * [backup-simplify]: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) 3.693 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 3.693 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 3.693 * [taylor]: Taking taylor expansion of (* 2 a) in a 3.693 * [taylor]: Taking taylor expansion of 2 in a 3.693 * [backup-simplify]: Simplify 2 into 2 3.693 * [taylor]: Taking taylor expansion of a in a 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (* 2 0) into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.694 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.695 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 3.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 a) (* 0 0))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (+ 1 0) into 1 3.696 * [taylor]: Taking taylor expansion of 1 in a 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.696 * [backup-simplify]: Simplify 2 into 2 3.697 * [backup-simplify]: Simplify (* 1 1) into 1 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (+ (* 2 (* a b)) (* 1 (pow (* 1 b) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 3.697 * [backup-simplify]: Simplify (fma (/ 1 b) (/ 1 b) (fma (/ 1 a) (/ 1 a) (* 2 (* (/ 1 a) (/ 1 b))))) into (fma (/ 1 b) (/ 1 b) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) 3.697 * [approximate]: Taking taylor expansion of (fma (/ 1 b) (/ 1 b) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) in (b a) around 0 3.697 * [taylor]: Taking taylor expansion of (fma (/ 1 b) (/ 1 b) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) in a 3.697 * [taylor]: Rewrote expression to (+ (* (/ 1 b) (/ 1 b)) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) 3.697 * [taylor]: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a 3.697 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.697 * [taylor]: Taking taylor expansion of b in a 3.697 * [backup-simplify]: Simplify b into b 3.698 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.698 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.698 * [taylor]: Taking taylor expansion of b in a 3.698 * [backup-simplify]: Simplify b into b 3.698 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.698 * [taylor]: Taking taylor expansion of (fma (/ 1 a) (/ 1 a) (/ 2 (* a b))) in a 3.698 * [taylor]: Rewrote expression to (+ (* (/ 1 a) (/ 1 a)) (/ 2 (* a b))) 3.698 * [taylor]: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a 3.698 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.698 * [taylor]: Taking taylor expansion of a in a 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (/ 1 1) into 1 3.698 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.698 * [taylor]: Taking taylor expansion of a in a 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (/ 1 1) into 1 3.698 * [taylor]: Taking taylor expansion of (/ 2 (* a b)) in a 3.698 * [taylor]: Taking taylor expansion of 2 in a 3.698 * [backup-simplify]: Simplify 2 into 2 3.698 * [taylor]: Taking taylor expansion of (* a b) in a 3.698 * [taylor]: Taking taylor expansion of a in a 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [taylor]: Taking taylor expansion of b in a 3.699 * [backup-simplify]: Simplify b into b 3.699 * [backup-simplify]: Simplify (* 0 b) into 0 3.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 3.699 * [backup-simplify]: Simplify (/ 2 b) into (/ 2 b) 3.699 * [taylor]: Taking taylor expansion of (fma (/ 1 b) (/ 1 b) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) in b 3.699 * [taylor]: Rewrote expression to (+ (* (/ 1 b) (/ 1 b)) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) 3.699 * [taylor]: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b 3.699 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.699 * [taylor]: Taking taylor expansion of b in b 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (/ 1 1) into 1 3.699 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.699 * [taylor]: Taking taylor expansion of b in b 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (/ 1 1) into 1 3.700 * [taylor]: Taking taylor expansion of (fma (/ 1 a) (/ 1 a) (/ 2 (* a b))) in b 3.700 * [taylor]: Rewrote expression to (+ (* (/ 1 a) (/ 1 a)) (/ 2 (* a b))) 3.700 * [taylor]: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b 3.700 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.700 * [taylor]: Taking taylor expansion of a in b 3.700 * [backup-simplify]: Simplify a into a 3.700 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.700 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.700 * [taylor]: Taking taylor expansion of a in b 3.700 * [backup-simplify]: Simplify a into a 3.700 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.700 * [taylor]: Taking taylor expansion of (/ 2 (* a b)) in b 3.700 * [taylor]: Taking taylor expansion of 2 in b 3.700 * [backup-simplify]: Simplify 2 into 2 3.700 * [taylor]: Taking taylor expansion of (* a b) in b 3.700 * [taylor]: Taking taylor expansion of a in b 3.700 * [backup-simplify]: Simplify a into a 3.700 * [taylor]: Taking taylor expansion of b in b 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (* a 0) into 0 3.700 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.700 * [backup-simplify]: Simplify (/ 2 a) into (/ 2 a) 3.701 * [taylor]: Taking taylor expansion of (fma (/ 1 b) (/ 1 b) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) in b 3.701 * [taylor]: Rewrote expression to (+ (* (/ 1 b) (/ 1 b)) (fma (/ 1 a) (/ 1 a) (/ 2 (* a b)))) 3.701 * [taylor]: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b 3.701 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.701 * [taylor]: Taking taylor expansion of b in b 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.701 * [taylor]: Taking taylor expansion of b in b 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [taylor]: Taking taylor expansion of (fma (/ 1 a) (/ 1 a) (/ 2 (* a b))) in b 3.701 * [taylor]: Rewrote expression to (+ (* (/ 1 a) (/ 1 a)) (/ 2 (* a b))) 3.701 * [taylor]: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b 3.701 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.701 * [taylor]: Taking taylor expansion of a in b 3.701 * [backup-simplify]: Simplify a into a 3.702 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.702 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.702 * [taylor]: Taking taylor expansion of a in b 3.702 * [backup-simplify]: Simplify a into a 3.702 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.702 * [taylor]: Taking taylor expansion of (/ 2 (* a b)) in b 3.702 * [taylor]: Taking taylor expansion of 2 in b 3.702 * [backup-simplify]: Simplify 2 into 2 3.702 * [taylor]: Taking taylor expansion of (* a b) in b 3.702 * [taylor]: Taking taylor expansion of a in b 3.702 * [backup-simplify]: Simplify a into a 3.702 * [taylor]: Taking taylor expansion of b in b 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (* a 0) into 0 3.702 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.702 * [backup-simplify]: Simplify (/ 2 a) into (/ 2 a) 3.702 * [backup-simplify]: Simplify (* 1 1) into 1 3.703 * [backup-simplify]: Simplify (+ 1 0) into 1 3.703 * [taylor]: Taking taylor expansion of 1 in a 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.704 * [backup-simplify]: Simplify (+ 0 (/ 2 a)) into (* 2 (/ 1 a)) 3.704 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 3.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 3.704 * [taylor]: Taking taylor expansion of 2 in a 3.704 * [backup-simplify]: Simplify 2 into 2 3.704 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.704 * [taylor]: Taking taylor expansion of a in a 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) 3.706 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 3.706 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 2 a) (/ 0 a)))) into 0 3.707 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 3.707 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 3.707 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.707 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.707 * [taylor]: Taking taylor expansion of a in a 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (* 1 1) into 1 3.707 * [backup-simplify]: Simplify (/ 1 1) into 1 3.707 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify (* 2 1) into 2 3.708 * [backup-simplify]: Simplify 2 into 2 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (+ (* 2 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 3.708 * [backup-simplify]: Simplify (fma (/ 1 (- b)) (/ 1 (- b)) (fma (/ 1 (- a)) (/ 1 (- a)) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) into (fma (/ -1 b) (/ -1 b) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) 3.708 * [approximate]: Taking taylor expansion of (fma (/ -1 b) (/ -1 b) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) in (b a) around 0 3.708 * [taylor]: Taking taylor expansion of (fma (/ -1 b) (/ -1 b) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) in a 3.708 * [taylor]: Rewrote expression to (+ (* (/ -1 b) (/ -1 b)) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) 3.709 * [taylor]: Taking taylor expansion of (* (/ -1 b) (/ -1 b)) in a 3.709 * [taylor]: Taking taylor expansion of (/ -1 b) in a 3.709 * [taylor]: Taking taylor expansion of -1 in a 3.709 * [backup-simplify]: Simplify -1 into -1 3.709 * [taylor]: Taking taylor expansion of b in a 3.709 * [backup-simplify]: Simplify b into b 3.709 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 3.709 * [taylor]: Taking taylor expansion of (/ -1 b) in a 3.709 * [taylor]: Taking taylor expansion of -1 in a 3.709 * [backup-simplify]: Simplify -1 into -1 3.709 * [taylor]: Taking taylor expansion of b in a 3.709 * [backup-simplify]: Simplify b into b 3.709 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 3.709 * [taylor]: Taking taylor expansion of (fma (/ -1 a) (/ -1 a) (/ 2 (* a b))) in a 3.709 * [taylor]: Rewrote expression to (+ (* (/ -1 a) (/ -1 a)) (/ 2 (* a b))) 3.709 * [taylor]: Taking taylor expansion of (* (/ -1 a) (/ -1 a)) in a 3.709 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.709 * [taylor]: Taking taylor expansion of -1 in a 3.709 * [backup-simplify]: Simplify -1 into -1 3.709 * [taylor]: Taking taylor expansion of a in a 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (/ -1 1) into -1 3.709 * [taylor]: Taking taylor expansion of (/ -1 a) in a 3.709 * [taylor]: Taking taylor expansion of -1 in a 3.709 * [backup-simplify]: Simplify -1 into -1 3.709 * [taylor]: Taking taylor expansion of a in a 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ -1 1) into -1 3.710 * [taylor]: Taking taylor expansion of (/ 2 (* a b)) in a 3.710 * [taylor]: Taking taylor expansion of 2 in a 3.710 * [backup-simplify]: Simplify 2 into 2 3.710 * [taylor]: Taking taylor expansion of (* a b) in a 3.710 * [taylor]: Taking taylor expansion of a in a 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [taylor]: Taking taylor expansion of b in a 3.710 * [backup-simplify]: Simplify b into b 3.710 * [backup-simplify]: Simplify (* 0 b) into 0 3.710 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 3.710 * [backup-simplify]: Simplify (/ 2 b) into (/ 2 b) 3.710 * [taylor]: Taking taylor expansion of (fma (/ -1 b) (/ -1 b) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) in b 3.710 * [taylor]: Rewrote expression to (+ (* (/ -1 b) (/ -1 b)) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) 3.710 * [taylor]: Taking taylor expansion of (* (/ -1 b) (/ -1 b)) in b 3.710 * [taylor]: Taking taylor expansion of (/ -1 b) in b 3.710 * [taylor]: Taking taylor expansion of -1 in b 3.710 * [backup-simplify]: Simplify -1 into -1 3.710 * [taylor]: Taking taylor expansion of b in b 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ -1 1) into -1 3.711 * [taylor]: Taking taylor expansion of (/ -1 b) in b 3.711 * [taylor]: Taking taylor expansion of -1 in b 3.711 * [backup-simplify]: Simplify -1 into -1 3.711 * [taylor]: Taking taylor expansion of b in b 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ -1 1) into -1 3.711 * [taylor]: Taking taylor expansion of (fma (/ -1 a) (/ -1 a) (/ 2 (* a b))) in b 3.711 * [taylor]: Rewrote expression to (+ (* (/ -1 a) (/ -1 a)) (/ 2 (* a b))) 3.711 * [taylor]: Taking taylor expansion of (* (/ -1 a) (/ -1 a)) in b 3.711 * [taylor]: Taking taylor expansion of (/ -1 a) in b 3.711 * [taylor]: Taking taylor expansion of -1 in b 3.711 * [backup-simplify]: Simplify -1 into -1 3.711 * [taylor]: Taking taylor expansion of a in b 3.711 * [backup-simplify]: Simplify a into a 3.711 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 3.711 * [taylor]: Taking taylor expansion of (/ -1 a) in b 3.711 * [taylor]: Taking taylor expansion of -1 in b 3.711 * [backup-simplify]: Simplify -1 into -1 3.711 * [taylor]: Taking taylor expansion of a in b 3.711 * [backup-simplify]: Simplify a into a 3.711 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 3.711 * [taylor]: Taking taylor expansion of (/ 2 (* a b)) in b 3.711 * [taylor]: Taking taylor expansion of 2 in b 3.711 * [backup-simplify]: Simplify 2 into 2 3.711 * [taylor]: Taking taylor expansion of (* a b) in b 3.712 * [taylor]: Taking taylor expansion of a in b 3.712 * [backup-simplify]: Simplify a into a 3.712 * [taylor]: Taking taylor expansion of b in b 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (* a 0) into 0 3.712 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.712 * [backup-simplify]: Simplify (/ 2 a) into (/ 2 a) 3.712 * [taylor]: Taking taylor expansion of (fma (/ -1 b) (/ -1 b) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) in b 3.712 * [taylor]: Rewrote expression to (+ (* (/ -1 b) (/ -1 b)) (fma (/ -1 a) (/ -1 a) (/ 2 (* a b)))) 3.712 * [taylor]: Taking taylor expansion of (* (/ -1 b) (/ -1 b)) in b 3.712 * [taylor]: Taking taylor expansion of (/ -1 b) in b 3.712 * [taylor]: Taking taylor expansion of -1 in b 3.712 * [backup-simplify]: Simplify -1 into -1 3.712 * [taylor]: Taking taylor expansion of b in b 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (/ -1 1) into -1 3.712 * [taylor]: Taking taylor expansion of (/ -1 b) in b 3.712 * [taylor]: Taking taylor expansion of -1 in b 3.712 * [backup-simplify]: Simplify -1 into -1 3.712 * [taylor]: Taking taylor expansion of b in b 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ -1 1) into -1 3.718 * [taylor]: Taking taylor expansion of (fma (/ -1 a) (/ -1 a) (/ 2 (* a b))) in b 3.719 * [taylor]: Rewrote expression to (+ (* (/ -1 a) (/ -1 a)) (/ 2 (* a b))) 3.719 * [taylor]: Taking taylor expansion of (* (/ -1 a) (/ -1 a)) in b 3.719 * [taylor]: Taking taylor expansion of (/ -1 a) in b 3.719 * [taylor]: Taking taylor expansion of -1 in b 3.719 * [backup-simplify]: Simplify -1 into -1 3.719 * [taylor]: Taking taylor expansion of a in b 3.719 * [backup-simplify]: Simplify a into a 3.719 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 3.719 * [taylor]: Taking taylor expansion of (/ -1 a) in b 3.719 * [taylor]: Taking taylor expansion of -1 in b 3.719 * [backup-simplify]: Simplify -1 into -1 3.719 * [taylor]: Taking taylor expansion of a in b 3.719 * [backup-simplify]: Simplify a into a 3.719 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 3.719 * [taylor]: Taking taylor expansion of (/ 2 (* a b)) in b 3.719 * [taylor]: Taking taylor expansion of 2 in b 3.719 * [backup-simplify]: Simplify 2 into 2 3.719 * [taylor]: Taking taylor expansion of (* a b) in b 3.719 * [taylor]: Taking taylor expansion of a in b 3.719 * [backup-simplify]: Simplify a into a 3.719 * [taylor]: Taking taylor expansion of b in b 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (* a 0) into 0 3.719 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.720 * [backup-simplify]: Simplify (/ 2 a) into (/ 2 a) 3.720 * [backup-simplify]: Simplify (* -1 -1) into 1 3.720 * [backup-simplify]: Simplify (+ 1 0) into 1 3.720 * [taylor]: Taking taylor expansion of 1 in a 3.720 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.722 * [backup-simplify]: Simplify (+ 0 (/ 2 a)) into (* 2 (/ 1 a)) 3.722 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 3.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 3.722 * [taylor]: Taking taylor expansion of 2 in a 3.722 * [backup-simplify]: Simplify 2 into 2 3.722 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.722 * [taylor]: Taking taylor expansion of a in a 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.724 * [backup-simplify]: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) 3.725 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 3.725 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 2 a) (/ 0 a)))) into 0 3.725 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 3.725 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 3.725 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.725 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.725 * [taylor]: Taking taylor expansion of a in a 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (* 1 1) into 1 3.726 * [backup-simplify]: Simplify (/ 1 1) into 1 3.726 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (* 2 1) into 2 3.726 * [backup-simplify]: Simplify 2 into 2 3.726 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 3.727 * * * [progress]: simplifying candidates 3.727 * [simplify]: Simplifying: (expm1 (fma b b (fma a a (* 2 (* a b))))) (log1p (fma b b (fma a a (* 2 (* a b))))) (* b b) (log (fma b b (fma a a (* 2 (* a b))))) (exp (fma b b (fma a a (* 2 (* a b))))) (* (cbrt (fma b b (fma a a (* 2 (* a b))))) (cbrt (fma b b (fma a a (* 2 (* a b)))))) (cbrt (fma b b (fma a a (* 2 (* a b))))) (* (* (fma b b (fma a a (* 2 (* a b)))) (fma b b (fma a a (* 2 (* a b))))) (fma b b (fma a a (* 2 (* a b))))) (sqrt (fma b b (fma a a (* 2 (* a b))))) (sqrt (fma b b (fma a a (* 2 (* a b))))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 3.727 * * [simplify]: Extracting # 0 : cost 0 3.727 * * [simplify]: Extracting # 1 : cost 0 3.727 * * [simplify]: Extracting # 2 : cost 0 3.727 * * [simplify]: Extracting # 3 : cost 0 3.727 * * [simplify]: Extracting # 4 : cost 0 3.728 * * [simplify]: Extracting # 5 : cost 0 3.728 * * [simplify]: Extracting # 6 : cost 0 3.728 * * [simplify]: iteration 0 : 21 enodes (cost 186 ) 3.733 * * [simplify]: Extracting # 0 : cost 0 3.733 * * [simplify]: Extracting # 1 : cost 0 3.734 * * [simplify]: Extracting # 2 : cost 0 3.734 * * [simplify]: Extracting # 3 : cost 0 3.734 * * [simplify]: Extracting # 4 : cost 0 3.734 * * [simplify]: iteration 1 : 66 enodes (cost 180 ) 3.876 * * [simplify]: Extracting # 0 : cost 0 3.877 * * [simplify]: Extracting # 1 : cost 0 3.878 * * [simplify]: Extracting # 2 : cost 0 3.880 * * [simplify]: Extracting # 3 : cost 0 3.881 * * [simplify]: Extracting # 4 : cost 0 3.882 * * [simplify]: Extracting # 5 : cost 0 3.883 * * [simplify]: Extracting # 6 : cost 0 3.885 * * [simplify]: iteration 2 : 753 enodes (cost 145 ) 5.553 * * [simplify]: Extracting # 0 : cost 0 5.564 * * [simplify]: Extracting # 1 : cost 0 5.574 * * [simplify]: Extracting # 2 : cost 0 5.583 * * [simplify]: Extracting # 3 : cost 0 5.589 * * [simplify]: Extracting # 4 : cost 0 5.595 * * [simplify]: Extracting # 5 : cost 0 5.603 * * [simplify]: iteration done: 5000 enodes (cost 132 ) 5.603 * [simplify]: Simplified to: (expm1 (fma (fma a 2 b) b (pow a 2))) (log1p (fma (fma a 2 b) b (pow a 2))) (* b b) (log (fma (fma a 2 b) b (pow a 2))) (exp (fma (fma a 2 b) b (pow a 2))) (* (cbrt (fma (fma a 2 b) b (pow a 2))) (cbrt (fma (fma a 2 b) b (pow a 2)))) (cbrt (fma (fma a 2 b) b (pow a 2))) (pow (fma (fma a 2 b) b (pow a 2)) 3) (sqrt (fma (fma a 2 b) b (pow a 2))) (sqrt (fma (fma a 2 b) b (pow a 2))) (fma (fma a 2 b) b (pow a 2)) (fma (fma a 2 b) b (pow a 2)) (fma (fma a 2 b) b (pow a 2)) 5.604 * * * [progress]: adding candidates to table 5.640 * [progress]: [Phase 3 of 3] Extracting. 5.640 * * [regime]: Finding splitpoints for: (# #) 5.641 * * * [regime-changes]: Trying 2 branch expressions: (b a) 5.641 * * * * [regimes]: Trying to branch on b from (# #) 5.652 * * * * [regimes]: Trying to branch on a from (# #) 5.670 * * * [regime]: Found split indices: #