9.125 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (* (+ a b) (+ a b)) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: Extracting # 3 : cost 0 0.023 * * [simplify]: Extracting # 4 : cost 0 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: iteration 2 : 27 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 3 : 65 enodes (cost 7 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 4 : 104 enodes (cost 7 ) 0.074 * * [simplify]: Extracting # 0 : cost 0 0.074 * * [simplify]: Extracting # 1 : cost 0 0.074 * * [simplify]: Extracting # 2 : cost 0 0.075 * * [simplify]: Extracting # 3 : cost 0 0.075 * * [simplify]: iteration 5 : 134 enodes (cost 7 ) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: iteration 6 : 154 enodes (cost 7 ) 0.134 * * [simplify]: Extracting # 0 : cost 0 0.135 * * [simplify]: Extracting # 1 : cost 0 0.135 * * [simplify]: Extracting # 2 : cost 0 0.135 * * [simplify]: iteration 7 : 171 enodes (cost 7 ) 0.167 * * [simplify]: Extracting # 0 : cost 0 0.167 * * [simplify]: iteration 8 : 173 enodes (cost 7 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: iteration done: 173 enodes (cost 7 ) 0.224 * [simplify]: Simplified to: (* (+ a b) (+ a b)) 0.225 * * [progress]: iteration 1 / 4 0.225 * * * [progress]: picking best candidate 0.227 * * * * [pick]: Picked # 0.227 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.311 * * * [progress]: generating series expansions 0.311 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.312 * [backup-simplify]: Simplify (* (+ a b) (+ a b)) into (pow (+ a b) 2) 0.312 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.312 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.312 * [taylor]: Taking taylor expansion of (+ a b) in b 0.312 * [taylor]: Taking taylor expansion of a in b 0.312 * [backup-simplify]: Simplify a into a 0.312 * [taylor]: Taking taylor expansion of b in b 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ a 0) into a 0.312 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.312 * [taylor]: Taking taylor expansion of (+ a b) in a 0.312 * [taylor]: Taking taylor expansion of a in a 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of b in a 0.312 * [backup-simplify]: Simplify b into b 0.312 * [backup-simplify]: Simplify (+ 0 b) into b 0.312 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.312 * [taylor]: Taking taylor expansion of (+ a b) in a 0.312 * [taylor]: Taking taylor expansion of a in a 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of b in a 0.312 * [backup-simplify]: Simplify b into b 0.312 * [backup-simplify]: Simplify (+ 0 b) into b 0.312 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.312 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.312 * [taylor]: Taking taylor expansion of b in b 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (+ (* b 1) (* 1 b)) into (* 2 b) 0.314 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.314 * [taylor]: Taking taylor expansion of 2 in b 0.314 * [backup-simplify]: Simplify 2 into 2 0.314 * [taylor]: Taking taylor expansion of b in b 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 2 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 b))) into 1 0.316 * [taylor]: Taking taylor expansion of 1 in b 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.317 * [backup-simplify]: Simplify 2 into 2 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [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))) 0.318 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.318 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.318 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.318 * [taylor]: Taking taylor expansion of b in b 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.319 * [taylor]: Taking taylor expansion of a in b 0.319 * [backup-simplify]: Simplify a into a 0.319 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.319 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.320 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.320 * [taylor]: Taking taylor expansion of b in a 0.320 * [backup-simplify]: Simplify b into b 0.320 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.320 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.320 * [taylor]: Taking taylor expansion of a in a 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (+ 0 1) into 1 0.321 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.321 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.321 * [taylor]: Taking taylor expansion of b in a 0.321 * [backup-simplify]: Simplify b into b 0.321 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.321 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.321 * [taylor]: Taking taylor expansion of a in a 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (+ 0 1) into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of 1 in b 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.323 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.324 * [taylor]: Taking taylor expansion of 2 in b 0.324 * [backup-simplify]: Simplify 2 into 2 0.324 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.324 * [taylor]: Taking taylor expansion of b in b 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.327 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.327 * [taylor]: Taking taylor expansion of b in b 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* 2 1) into 2 0.328 * [backup-simplify]: Simplify 2 into 2 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [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))) 0.329 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.329 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.329 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.329 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.329 * [taylor]: Taking taylor expansion of b in b 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.330 * [taylor]: Taking taylor expansion of a in b 0.330 * [backup-simplify]: Simplify a into a 0.330 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.331 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.331 * [taylor]: Taking taylor expansion of b in a 0.331 * [backup-simplify]: Simplify b into b 0.331 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.331 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.331 * [taylor]: Taking taylor expansion of a in a 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.332 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.332 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.332 * [taylor]: Taking taylor expansion of b in a 0.332 * [backup-simplify]: Simplify b into b 0.332 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.332 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.332 * [taylor]: Taking taylor expansion of a in a 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (+ 0 1) into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of 1 in b 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.335 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.335 * [taylor]: Taking taylor expansion of 2 in b 0.335 * [backup-simplify]: Simplify 2 into 2 0.335 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.335 * [taylor]: Taking taylor expansion of b in b 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.338 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.338 * [taylor]: Taking taylor expansion of b in b 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 2 1) into 2 0.340 * [backup-simplify]: Simplify 2 into 2 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [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))) 0.341 * * * [progress]: simplifying candidates 0.342 * [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))) 0.343 * * [simplify]: Extracting # 0 : cost 0 0.344 * * [simplify]: Extracting # 1 : cost 0 0.344 * * [simplify]: Extracting # 2 : cost 0 0.344 * * [simplify]: Extracting # 3 : cost 0 0.344 * * [simplify]: Extracting # 4 : cost 0 0.344 * * [simplify]: Extracting # 5 : cost 0 0.344 * * [simplify]: Extracting # 6 : cost 0 0.345 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.379 * * [simplify]: Extracting # 0 : cost 0 0.379 * * [simplify]: Extracting # 1 : cost 0 0.380 * * [simplify]: Extracting # 2 : cost 0 0.380 * * [simplify]: Extracting # 3 : cost 0 0.381 * * [simplify]: Extracting # 4 : cost 0 0.381 * * [simplify]: iteration 1 : 195 enodes (cost 462 ) 0.520 * * [simplify]: Extracting # 0 : cost 0 0.521 * * [simplify]: Extracting # 1 : cost 0 0.522 * * [simplify]: Extracting # 2 : cost 0 0.523 * * [simplify]: Extracting # 3 : cost 0 0.524 * * [simplify]: Extracting # 4 : cost 0 0.525 * * [simplify]: iteration 2 : 790 enodes (cost 416 ) 2.179 * * [simplify]: Extracting # 0 : cost 0 2.189 * * [simplify]: Extracting # 1 : cost 0 2.196 * * [simplify]: Extracting # 2 : cost 0 2.202 * * [simplify]: Extracting # 3 : cost 0 2.209 * * [simplify]: Extracting # 4 : cost 0 2.222 * * [simplify]: Extracting # 5 : cost 0 2.228 * * [simplify]: iteration 3 : 3636 enodes (cost 380 ) 3.782 * * [simplify]: Extracting # 0 : cost 0 3.788 * * [simplify]: Extracting # 1 : cost 0 3.793 * * [simplify]: iteration done: 5000 enodes (cost 380 ) 3.793 * [simplify]: Simplified to: (expm1 (pow (sqrt (+ a b)) 4)) (log1p (pow (sqrt (+ a b)) 4)) 2 (pow (sqrt (+ a b)) 4) 2 (* 2 (log (+ a b))) (* 2 (log (+ a b))) (exp (pow (sqrt (+ a b)) 4)) (pow (+ a b) 6) (* (cbrt (pow (sqrt (+ a b)) 4)) (cbrt (pow (sqrt (+ a b)) 4))) (cbrt (pow (sqrt (+ a b)) 4)) (pow (+ a b) 6) (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)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (fma a a (* b (- b a))) (- a b)) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (fma a a (* b (- b a))) (- a b)) (* (* (- a b) (- a b)) (pow (sqrt (+ a b)) 4)) (* (- a b) (- a b)) (pow (cbrt (+ a b)) 4) (* (cbrt (+ a b)) (cbrt (+ a b))) (+ a b) (+ a b) 1 (pow (sqrt (+ a b)) 4) 1 (pow (sqrt (+ a b)) 4) 1 (pow (sqrt (+ a b)) 4) 1 (pow (sqrt (+ a b)) 4) (+ a b) (+ a b) 2 (* (+ a b) a) (* (+ a b) b) (* (+ a b) a) (* (+ a b) b) (* (cbrt (+ a b)) (pow (cbrt (+ a b)) 4)) (pow (sqrt (+ a b)) 3) (+ a b) (+ a b) (pow (cbrt (+ a b)) 4) (pow (sqrt (+ a b)) 3) (pow (sqrt (+ a b)) 4) (pow (sqrt (+ a b)) 4) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- a b) (pow (sqrt (+ a b)) 4)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- a b) (pow (sqrt (+ a b)) 4)) (fma b (fma a 2 b) (* a a)) (fma b (fma a 2 b) (* a a)) (fma b (fma a 2 b) (* a a)) 3.794 * * * [progress]: adding candidates to table 3.866 * * [progress]: iteration 2 / 4 3.866 * * * [progress]: picking best candidate 3.871 * * * * [pick]: Picked # 3.871 * * * [progress]: localizing error 3.885 * * * [progress]: generating rewritten candidates 3.885 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.926 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.944 * * * [progress]: generating series expansions 3.944 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.944 * [backup-simplify]: Simplify (* (+ a b) b) into (* (+ a b) b) 3.944 * [approximate]: Taking taylor expansion of (* (+ a b) b) in (a b) around 0 3.944 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 3.944 * [taylor]: Taking taylor expansion of (+ a b) in b 3.944 * [taylor]: Taking taylor expansion of a in b 3.944 * [backup-simplify]: Simplify a into a 3.944 * [taylor]: Taking taylor expansion of b in b 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [taylor]: Taking taylor expansion of b in b 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 3.944 * [taylor]: Taking taylor expansion of (+ a b) in a 3.944 * [taylor]: Taking taylor expansion of a in a 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [taylor]: Taking taylor expansion of b in a 3.944 * [backup-simplify]: Simplify b into b 3.944 * [taylor]: Taking taylor expansion of b in a 3.944 * [backup-simplify]: Simplify b into b 3.944 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 3.944 * [taylor]: Taking taylor expansion of (+ a b) in a 3.944 * [taylor]: Taking taylor expansion of a in a 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [taylor]: Taking taylor expansion of b in a 3.944 * [backup-simplify]: Simplify b into b 3.944 * [taylor]: Taking taylor expansion of b in a 3.944 * [backup-simplify]: Simplify b into b 3.944 * [backup-simplify]: Simplify (+ 0 b) into b 3.944 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.944 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.944 * [taylor]: Taking taylor expansion of b in b 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (+ 1 0) into 1 3.945 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 3.945 * [taylor]: Taking taylor expansion of b in b 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify (+ 0 0) into 0 3.946 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 3.946 * [taylor]: Taking taylor expansion of 0 in b 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (* 1 1) into 1 3.946 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 3.947 * [taylor]: Taking taylor expansion of 0 in b 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 3.949 * [taylor]: Taking taylor expansion of 0 in b 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (* 1 (* b a))) into (+ (* a b) (pow b 2)) 3.949 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (/ 1 b)) into (/ (+ (/ 1 b) (/ 1 a)) b) 3.949 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in (a b) around 0 3.949 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in b 3.949 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 3.949 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.949 * [taylor]: Taking taylor expansion of b in b 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (/ 1 1) into 1 3.949 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.950 * [taylor]: Taking taylor expansion of a in b 3.950 * [backup-simplify]: Simplify a into a 3.950 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.950 * [taylor]: Taking taylor expansion of b in b 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (+ 1 0) into 1 3.950 * [backup-simplify]: Simplify (/ 1 1) into 1 3.950 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in a 3.950 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 3.950 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.950 * [taylor]: Taking taylor expansion of b in a 3.950 * [backup-simplify]: Simplify b into b 3.950 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.950 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.950 * [taylor]: Taking taylor expansion of a in a 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [taylor]: Taking taylor expansion of b in a 3.951 * [backup-simplify]: Simplify b into b 3.951 * [backup-simplify]: Simplify (+ 0 1) into 1 3.951 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.951 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in a 3.951 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 3.951 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.951 * [taylor]: Taking taylor expansion of b in a 3.951 * [backup-simplify]: Simplify b into b 3.951 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.951 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.951 * [taylor]: Taking taylor expansion of a in a 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [taylor]: Taking taylor expansion of b in a 3.951 * [backup-simplify]: Simplify b into b 3.952 * [backup-simplify]: Simplify (+ 0 1) into 1 3.952 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.952 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.952 * [taylor]: Taking taylor expansion of b in b 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 1 into 1 3.952 * [backup-simplify]: Simplify (/ 1 1) into 1 3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 3.953 * [backup-simplify]: Simplify (- (/ (/ 1 b) b) (+ (* (/ 1 b) (/ 0 b)))) into (/ 1 (pow b 2)) 3.953 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.953 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.953 * [taylor]: Taking taylor expansion of b in b 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [backup-simplify]: Simplify (* 1 1) into 1 3.953 * [backup-simplify]: Simplify (/ 1 1) into 1 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ 0 b)))) into 0 3.955 * [taylor]: Taking taylor expansion of 0 in b 3.955 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.960 * [taylor]: Taking taylor expansion of 0 in b 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.962 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.965 * [taylor]: Taking taylor expansion of 0 in b 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (+ (* a b) (pow b 2)) 3.968 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b))) into (/ (+ (/ 1 b) (/ 1 a)) b) 3.968 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in (a b) around 0 3.968 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in b 3.968 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 3.968 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.968 * [taylor]: Taking taylor expansion of b in b 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (/ 1 1) into 1 3.969 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.969 * [taylor]: Taking taylor expansion of a in b 3.969 * [backup-simplify]: Simplify a into a 3.969 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.969 * [taylor]: Taking taylor expansion of b in b 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (+ 1 0) into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in a 3.970 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 3.970 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.970 * [taylor]: Taking taylor expansion of b in a 3.970 * [backup-simplify]: Simplify b into b 3.970 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.970 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.970 * [taylor]: Taking taylor expansion of a in a 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 1 into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [taylor]: Taking taylor expansion of b in a 3.971 * [backup-simplify]: Simplify b into b 3.971 * [backup-simplify]: Simplify (+ 0 1) into 1 3.971 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.971 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) b) in a 3.971 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 3.971 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.971 * [taylor]: Taking taylor expansion of b in a 3.971 * [backup-simplify]: Simplify b into b 3.971 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.971 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.971 * [taylor]: Taking taylor expansion of a in a 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [taylor]: Taking taylor expansion of b in a 3.972 * [backup-simplify]: Simplify b into b 3.972 * [backup-simplify]: Simplify (+ 0 1) into 1 3.972 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.972 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.973 * [taylor]: Taking taylor expansion of b in b 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 3.974 * [backup-simplify]: Simplify (- (/ (/ 1 b) b) (+ (* (/ 1 b) (/ 0 b)))) into (/ 1 (pow b 2)) 3.974 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.974 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.974 * [taylor]: Taking taylor expansion of b in b 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (* 1 1) into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ 0 0) into 0 3.977 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ 0 b)))) into 0 3.977 * [taylor]: Taking taylor expansion of 0 in b 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.982 * [taylor]: Taking taylor expansion of 0 in b 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.985 * [taylor]: Taking taylor expansion of 0 in b 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (+ (* a b) (pow b 2)) 3.986 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.986 * [backup-simplify]: Simplify (+ (* (+ a b) a) (* (+ a b) b)) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 3.986 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 3.986 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 3.986 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.986 * [taylor]: Taking taylor expansion of a in b 3.986 * [backup-simplify]: Simplify a into a 3.986 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 3.986 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 3.986 * [taylor]: Taking taylor expansion of 2 in b 3.986 * [backup-simplify]: Simplify 2 into 2 3.986 * [taylor]: Taking taylor expansion of (* a b) in b 3.986 * [taylor]: Taking taylor expansion of a in b 3.986 * [backup-simplify]: Simplify a into a 3.986 * [taylor]: Taking taylor expansion of b in b 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.987 * [taylor]: Taking taylor expansion of b in b 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 3.987 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.987 * [taylor]: Taking taylor expansion of a in a 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 3.987 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 3.987 * [taylor]: Taking taylor expansion of 2 in a 3.987 * [backup-simplify]: Simplify 2 into 2 3.987 * [taylor]: Taking taylor expansion of (* a b) in a 3.987 * [taylor]: Taking taylor expansion of a in a 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [taylor]: Taking taylor expansion of b in a 3.987 * [backup-simplify]: Simplify b into b 3.987 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.987 * [taylor]: Taking taylor expansion of b in a 3.987 * [backup-simplify]: Simplify b into b 3.987 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 3.987 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.987 * [taylor]: Taking taylor expansion of a in a 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 3.987 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 3.987 * [taylor]: Taking taylor expansion of 2 in a 3.987 * [backup-simplify]: Simplify 2 into 2 3.987 * [taylor]: Taking taylor expansion of (* a b) in a 3.987 * [taylor]: Taking taylor expansion of a in a 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [taylor]: Taking taylor expansion of b in a 3.987 * [backup-simplify]: Simplify b into b 3.987 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.987 * [taylor]: Taking taylor expansion of b in a 3.987 * [backup-simplify]: Simplify b into b 3.987 * [backup-simplify]: Simplify (* 0 b) into 0 3.987 * [backup-simplify]: Simplify (* 2 0) into 0 3.988 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.988 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 3.988 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 3.988 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.988 * [taylor]: Taking taylor expansion of b in b 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 3.988 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 3.988 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 3.988 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 3.989 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 3.989 * [taylor]: Taking taylor expansion of (* 2 b) in b 3.989 * [taylor]: Taking taylor expansion of 2 in b 3.989 * [backup-simplify]: Simplify 2 into 2 3.989 * [taylor]: Taking taylor expansion of b in b 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (* 2 0) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify (* 1 1) into 1 3.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 3.991 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 3.991 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [backup-simplify]: Simplify (+ 1 0) into 1 3.991 * [taylor]: Taking taylor expansion of 1 in b 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.992 * [backup-simplify]: Simplify 2 into 2 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [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))) 3.993 * [backup-simplify]: Simplify (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (+ (/ 1 a) (/ 1 b)) (/ 1 b))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 3.993 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 3.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.993 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.993 * [taylor]: Taking taylor expansion of b in b 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [backup-simplify]: Simplify (* 1 1) into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.994 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 3.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 3.994 * [taylor]: Taking taylor expansion of 2 in b 3.994 * [backup-simplify]: Simplify 2 into 2 3.994 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 3.994 * [taylor]: Taking taylor expansion of (* a b) in b 3.994 * [taylor]: Taking taylor expansion of a in b 3.994 * [backup-simplify]: Simplify a into a 3.994 * [taylor]: Taking taylor expansion of b in b 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (* a 0) into 0 3.994 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.994 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.994 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.994 * [taylor]: Taking taylor expansion of a in b 3.994 * [backup-simplify]: Simplify a into a 3.994 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.994 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.994 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.994 * [taylor]: Taking taylor expansion of b in a 3.994 * [backup-simplify]: Simplify b into b 3.994 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.995 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.995 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 3.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 3.995 * [taylor]: Taking taylor expansion of 2 in a 3.995 * [backup-simplify]: Simplify 2 into 2 3.995 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 3.995 * [taylor]: Taking taylor expansion of (* a b) in a 3.995 * [taylor]: Taking taylor expansion of a in a 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [taylor]: Taking taylor expansion of b in a 3.995 * [backup-simplify]: Simplify b into b 3.995 * [backup-simplify]: Simplify (* 0 b) into 0 3.995 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 3.995 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.995 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.995 * [taylor]: Taking taylor expansion of a in a 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (* 1 1) into 1 3.996 * [backup-simplify]: Simplify (/ 1 1) into 1 3.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 3.996 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.996 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.996 * [taylor]: Taking taylor expansion of b in a 3.996 * [backup-simplify]: Simplify b into b 3.996 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.996 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.996 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 3.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 3.996 * [taylor]: Taking taylor expansion of 2 in a 3.996 * [backup-simplify]: Simplify 2 into 2 3.996 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 3.996 * [taylor]: Taking taylor expansion of (* a b) in a 3.996 * [taylor]: Taking taylor expansion of a in a 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [taylor]: Taking taylor expansion of b in a 3.996 * [backup-simplify]: Simplify b into b 3.996 * [backup-simplify]: Simplify (* 0 b) into 0 3.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 3.996 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.996 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.996 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.996 * [taylor]: Taking taylor expansion of a in a 3.996 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [backup-simplify]: Simplify (+ 0 1) into 1 3.998 * [backup-simplify]: Simplify (+ 0 1) into 1 3.998 * [taylor]: Taking taylor expansion of 1 in b 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 3.999 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 3.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 3.999 * [taylor]: Taking taylor expansion of 2 in b 3.999 * [backup-simplify]: Simplify 2 into 2 3.999 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.999 * [taylor]: Taking taylor expansion of b in b 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 4.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.005 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.005 * [taylor]: Taking taylor expansion of b in b 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (* 1 1) into 1 4.006 * [backup-simplify]: Simplify (/ 1 1) into 1 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (* 2 1) into 2 4.006 * [backup-simplify]: Simplify 2 into 2 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [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))) 4.007 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b)))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 4.007 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 4.007 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.007 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.007 * [taylor]: Taking taylor expansion of b in b 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (* 1 1) into 1 4.007 * [backup-simplify]: Simplify (/ 1 1) into 1 4.007 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 4.007 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 4.007 * [taylor]: Taking taylor expansion of 2 in b 4.007 * [backup-simplify]: Simplify 2 into 2 4.007 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.007 * [taylor]: Taking taylor expansion of (* a b) in b 4.007 * [taylor]: Taking taylor expansion of a in b 4.007 * [backup-simplify]: Simplify a into a 4.007 * [taylor]: Taking taylor expansion of b in b 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (* a 0) into 0 4.008 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.008 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.008 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.008 * [taylor]: Taking taylor expansion of a in b 4.008 * [backup-simplify]: Simplify a into a 4.008 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.008 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.008 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.008 * [taylor]: Taking taylor expansion of b in a 4.008 * [backup-simplify]: Simplify b into b 4.008 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.008 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.008 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 4.008 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 4.008 * [taylor]: Taking taylor expansion of 2 in a 4.008 * [backup-simplify]: Simplify 2 into 2 4.008 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 4.008 * [taylor]: Taking taylor expansion of (* a b) in a 4.008 * [taylor]: Taking taylor expansion of a in a 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.009 * [taylor]: Taking taylor expansion of b in a 4.009 * [backup-simplify]: Simplify b into b 4.009 * [backup-simplify]: Simplify (* 0 b) into 0 4.009 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 4.009 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.009 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.009 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.009 * [taylor]: Taking taylor expansion of a in a 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (* 1 1) into 1 4.010 * [backup-simplify]: Simplify (/ 1 1) into 1 4.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.010 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.010 * [taylor]: Taking taylor expansion of b in a 4.010 * [backup-simplify]: Simplify b into b 4.010 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.010 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.010 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 4.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 4.010 * [taylor]: Taking taylor expansion of 2 in a 4.010 * [backup-simplify]: Simplify 2 into 2 4.010 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 4.010 * [taylor]: Taking taylor expansion of (* a b) in a 4.010 * [taylor]: Taking taylor expansion of a in a 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [taylor]: Taking taylor expansion of b in a 4.010 * [backup-simplify]: Simplify b into b 4.010 * [backup-simplify]: Simplify (* 0 b) into 0 4.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 4.010 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.010 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.010 * [taylor]: Taking taylor expansion of a in a 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.011 * [backup-simplify]: Simplify (/ 1 1) into 1 4.011 * [backup-simplify]: Simplify (+ 0 1) into 1 4.011 * [backup-simplify]: Simplify (+ 0 1) into 1 4.011 * [taylor]: Taking taylor expansion of 1 in b 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 4.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 4.013 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 4.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 4.013 * [taylor]: Taking taylor expansion of 2 in b 4.013 * [backup-simplify]: Simplify 2 into 2 4.013 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.013 * [taylor]: Taking taylor expansion of b in b 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 4.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.015 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.015 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.015 * [taylor]: Taking taylor expansion of b in b 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (* 1 1) into 1 4.016 * [backup-simplify]: Simplify (/ 1 1) into 1 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (* 2 1) into 2 4.016 * [backup-simplify]: Simplify 2 into 2 4.016 * [backup-simplify]: Simplify 1 into 1 4.017 * [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))) 4.017 * * * [progress]: simplifying candidates 4.017 * [simplify]: Simplifying: (expm1 (* (+ a b) b)) (log1p (* (+ a b) b)) (* (+ a b) b) (+ (log (+ a b)) (log b)) (log (* (+ a b) b)) (exp (* (+ a b) b)) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* b b) b)) (* (cbrt (* (+ a b) b)) (cbrt (* (+ a b) b))) (cbrt (* (+ a b) b)) (* (* (* (+ a b) b) (* (+ a b) b)) (* (+ a b) b)) (sqrt (* (+ a b) b)) (sqrt (* (+ a b) b)) (* (sqrt (+ a b)) (sqrt b)) (* (sqrt (+ a b)) (sqrt b)) (* (+ a b) (* (cbrt b) (cbrt b))) (* (+ a b) (sqrt b)) (* (+ a b) 1) (* (cbrt (+ a b)) b) (* (sqrt (+ a b)) b) (* (+ a b) b) (* (+ a b) b) (* (+ (pow a 3) (pow b 3)) b) (* (- (* a a) (* b b)) b) (expm1 (+ (* (+ a b) a) (* (+ a b) b))) (log1p (+ (* (+ a b) a) (* (+ a b) b))) (* (exp (* (+ a b) a)) (exp (* (+ a b) b))) (log (+ (* (+ a b) a) (* (+ a b) b))) (exp (+ (* (+ a b) a) (* (+ a b) b))) (* (cbrt (+ (* (+ a b) a) (* (+ a b) b))) (cbrt (+ (* (+ a b) a) (* (+ a b) b)))) (cbrt (+ (* (+ a b) a) (* (+ a b) b))) (* (* (+ (* (+ a b) a) (* (+ a b) b)) (+ (* (+ a b) a) (* (+ a b) b))) (+ (* (+ a b) a) (* (+ a b) b))) (sqrt (+ (* (+ a b) a) (* (+ a b) b))) (sqrt (+ (* (+ a b) a) (* (+ a b) b))) (+ (* (* (+ (pow a 3) (pow b 3)) a) (+ (* a a) (- (* b b) (* a b)))) (* (+ (* a a) (- (* b b) (* a b))) (* (+ (pow a 3) (pow b 3)) b))) (* (+ (* 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))) (* (- (* a a) (* b b)) b))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (+ (* (* (- (* a a) (* b b)) a) (+ (* a a) (- (* b b) (* a b)))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (+ (* (* (- (* a a) (* b b)) a) (- a b)) (* (- a b) (* (- (* a a) (* b b)) b))) (* (- a b) (- a b)) (+ (pow (* (+ a b) a) 3) (pow (* (+ a b) b) 3)) (+ (* (* (+ a b) a) (* (+ a b) a)) (- (* (* (+ a b) b) (* (+ a b) b)) (* (* (+ a b) a) (* (+ a b) b)))) (- (* (* (+ a b) a) (* (+ a b) a)) (* (* (+ a b) b) (* (+ a b) b))) (- (* (+ a b) a) (* (+ a b) b)) (+ 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))) 4.018 * * [simplify]: Extracting # 0 : cost 0 4.019 * * [simplify]: Extracting # 1 : cost 0 4.019 * * [simplify]: Extracting # 2 : cost 0 4.019 * * [simplify]: Extracting # 3 : cost 0 4.019 * * [simplify]: Extracting # 4 : cost 0 4.019 * * [simplify]: Extracting # 5 : cost 0 4.019 * * [simplify]: Extracting # 6 : cost 0 4.019 * * [simplify]: iteration 0 : 92 enodes (cost 679 ) 4.041 * * [simplify]: Extracting # 0 : cost 0 4.042 * * [simplify]: Extracting # 1 : cost 0 4.042 * * [simplify]: Extracting # 2 : cost 0 4.042 * * [simplify]: Extracting # 3 : cost 0 4.043 * * [simplify]: Extracting # 4 : cost 0 4.043 * * [simplify]: Extracting # 5 : cost 0 4.043 * * [simplify]: iteration 1 : 280 enodes (cost 558 ) 4.273 * * [simplify]: Extracting # 0 : cost 0 4.274 * * [simplify]: Extracting # 1 : cost 0 4.276 * * [simplify]: Extracting # 2 : cost 0 4.277 * * [simplify]: Extracting # 3 : cost 0 4.279 * * [simplify]: Extracting # 4 : cost 0 4.281 * * [simplify]: iteration 2 : 1096 enodes (cost 496 ) 5.479 * * [simplify]: Extracting # 0 : cost 0 5.494 * * [simplify]: Extracting # 1 : cost 0 5.506 * * [simplify]: Extracting # 2 : cost 0 5.517 * * [simplify]: Extracting # 3 : cost 0 5.528 * * [simplify]: Extracting # 4 : cost 0 5.540 * * [simplify]: Extracting # 5 : cost 0 5.551 * * [simplify]: iteration done: 5000 enodes (cost 470 ) 5.551 * [simplify]: Simplified to: (expm1 (* (+ a b) b)) (log1p (* (+ a b) b)) (* (+ a b) b) (log (* (+ a b) b)) (log (* (+ a b) b)) (exp (* (+ a b) b)) (pow (* (+ a b) b) 3) (* (cbrt (* (+ a b) b)) (cbrt (* (+ a b) b))) (cbrt (* (+ a b) b)) (pow (* (+ a b) b) 3) (sqrt (* (+ a b) b)) (sqrt (* (+ a b) b)) (* (sqrt (+ a b)) (sqrt b)) (* (sqrt (+ a b)) (sqrt b)) (* (+ a b) (* (cbrt b) (cbrt b))) (* (+ a b) (sqrt b)) (+ a b) (* (cbrt (+ a b)) b) (* (sqrt (+ a b)) b) (* (+ a b) b) (* (+ a b) b) (* (+ (pow a 3) (pow b 3)) b) (* (- (* a a) (* b 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)) (* (+ (pow a 3) (pow b 3)) (* (fma a a (* b (- b a))) (+ a b))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))) (fma (* (+ (pow a 3) (pow b 3)) a) (- a b) (* (* (fma a a (* b (- b a))) (- (* a a) (* b b))) b)) (* (- a b) (fma a a (* b (- b a)))) (fma (* (- (* a a) (* b b)) a) (fma a a (* b (- b a))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (fma a a (* b (- b a)))) (* (* (- a b) (- (* a a) (* b b))) (+ a b)) (* (- a b) (- a b)) (* (pow (+ a b) 3) (+ (pow a 3) (pow b 3))) (* (+ a b) (+ (* (+ a b) (* a a)) (* b (* (+ a b) (- b a))))) (* (pow (+ a b) 3) (- a b)) (- (* a a) (* b b)) (+ a b) (* (+ a b) b) (* (+ a b) b) (* (+ a b) b) (fma a a (* b (fma a 2 b))) (fma a a (* b (fma a 2 b))) (fma a a (* b (fma a 2 b))) 5.552 * * * [progress]: adding candidates to table 5.668 * * [progress]: iteration 3 / 4 5.668 * * * [progress]: picking best candidate 5.669 * * * * [pick]: Picked # 5.669 * * * [progress]: localizing error 5.676 * * * [progress]: generating rewritten candidates 5.676 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 5.698 * * * [progress]: generating series expansions 5.698 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 5.698 * [backup-simplify]: Simplify (* b (fma a 2 b)) into (* (fma a 2 b) b) 5.698 * [approximate]: Taking taylor expansion of (* (fma a 2 b) b) in (b a) around 0 5.698 * [taylor]: Taking taylor expansion of (* (fma a 2 b) b) in a 5.698 * [taylor]: Taking taylor expansion of (fma a 2 b) in a 5.698 * [taylor]: Rewrote expression to (+ (* a 2) b) 5.698 * [taylor]: Taking taylor expansion of (* a 2) in a 5.698 * [taylor]: Taking taylor expansion of a in a 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify 1 into 1 5.698 * [taylor]: Taking taylor expansion of 2 in a 5.698 * [backup-simplify]: Simplify 2 into 2 5.698 * [taylor]: Taking taylor expansion of b in a 5.699 * [backup-simplify]: Simplify b into b 5.699 * [taylor]: Taking taylor expansion of b in a 5.699 * [backup-simplify]: Simplify b into b 5.699 * [taylor]: Taking taylor expansion of (* (fma a 2 b) b) in b 5.699 * [taylor]: Taking taylor expansion of (fma a 2 b) in b 5.699 * [taylor]: Rewrote expression to (+ (* a 2) b) 5.699 * [taylor]: Taking taylor expansion of (* a 2) in b 5.699 * [taylor]: Taking taylor expansion of a in b 5.699 * [backup-simplify]: Simplify a into a 5.699 * [taylor]: Taking taylor expansion of 2 in b 5.699 * [backup-simplify]: Simplify 2 into 2 5.699 * [taylor]: Taking taylor expansion of b in b 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.699 * [taylor]: Taking taylor expansion of b in b 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.699 * [taylor]: Taking taylor expansion of (* (fma a 2 b) b) in b 5.699 * [taylor]: Taking taylor expansion of (fma a 2 b) in b 5.699 * [taylor]: Rewrote expression to (+ (* a 2) b) 5.699 * [taylor]: Taking taylor expansion of (* a 2) in b 5.699 * [taylor]: Taking taylor expansion of a in b 5.699 * [backup-simplify]: Simplify a into a 5.699 * [taylor]: Taking taylor expansion of 2 in b 5.700 * [backup-simplify]: Simplify 2 into 2 5.700 * [taylor]: Taking taylor expansion of b in b 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [taylor]: Taking taylor expansion of b in b 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (* a 2) into (* 2 a) 5.700 * [backup-simplify]: Simplify (+ (* 2 a) 0) into (* 2 a) 5.700 * [backup-simplify]: Simplify (* (* 2 a) 0) into 0 5.700 * [taylor]: Taking taylor expansion of 0 in a 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (+ (* a 0) (* 0 2)) into 0 5.701 * [backup-simplify]: Simplify (+ 0 1) into 1 5.702 * [backup-simplify]: Simplify (+ (* (* 2 a) 1) (* 1 0)) into (* 2 a) 5.702 * [taylor]: Taking taylor expansion of (* 2 a) in a 5.702 * [taylor]: Taking taylor expansion of 2 in a 5.702 * [backup-simplify]: Simplify 2 into 2 5.702 * [taylor]: Taking taylor expansion of a in a 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 1 into 1 5.702 * [backup-simplify]: Simplify (* 2 0) into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 2))) into 0 5.704 * [backup-simplify]: Simplify (+ 0 0) into 0 5.704 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 1) (* 0 0))) into 1 5.704 * [taylor]: Taking taylor expansion of 1 in a 5.704 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify 1 into 1 5.705 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.705 * [backup-simplify]: Simplify 2 into 2 5.705 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 5.706 * [backup-simplify]: Simplify (+ 0 0) into 0 5.707 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.707 * [taylor]: Taking taylor expansion of 0 in a 5.707 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 5.710 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.711 * [taylor]: Taking taylor expansion of 0 in a 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (+ (* 2 (* a b)) (* 1 (pow (* 1 b) 2))) into (+ (* 2 (* a b)) (pow b 2)) 5.712 * [backup-simplify]: Simplify (* (/ 1 b) (fma (/ 1 a) 2 (/ 1 b))) into (/ (fma (/ 1 a) 2 (/ 1 b)) b) 5.712 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 a) 2 (/ 1 b)) b) in (b a) around 0 5.712 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 a) 2 (/ 1 b)) b) in a 5.712 * [taylor]: Taking taylor expansion of (fma (/ 1 a) 2 (/ 1 b)) in a 5.712 * [taylor]: Rewrote expression to (+ (* (/ 1 a) 2) (/ 1 b)) 5.712 * [taylor]: Taking taylor expansion of (* (/ 1 a) 2) in a 5.712 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.712 * [taylor]: Taking taylor expansion of a in a 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (/ 1 1) into 1 5.713 * [taylor]: Taking taylor expansion of 2 in a 5.713 * [backup-simplify]: Simplify 2 into 2 5.713 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.713 * [taylor]: Taking taylor expansion of b in a 5.713 * [backup-simplify]: Simplify b into b 5.713 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.713 * [taylor]: Taking taylor expansion of b in a 5.713 * [backup-simplify]: Simplify b into b 5.713 * [backup-simplify]: Simplify (* 1 2) into 2 5.714 * [backup-simplify]: Simplify (+ 2 0) into 2 5.714 * [backup-simplify]: Simplify (/ 2 b) into (/ 2 b) 5.714 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 a) 2 (/ 1 b)) b) in b 5.714 * [taylor]: Taking taylor expansion of (fma (/ 1 a) 2 (/ 1 b)) in b 5.714 * [taylor]: Rewrote expression to (+ (* (/ 1 a) 2) (/ 1 b)) 5.714 * [taylor]: Taking taylor expansion of (* (/ 1 a) 2) in b 5.714 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.714 * [taylor]: Taking taylor expansion of a in b 5.714 * [backup-simplify]: Simplify a into a 5.714 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.714 * [taylor]: Taking taylor expansion of 2 in b 5.714 * [backup-simplify]: Simplify 2 into 2 5.714 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.714 * [taylor]: Taking taylor expansion of b in b 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 1 into 1 5.715 * [backup-simplify]: Simplify (/ 1 1) into 1 5.715 * [taylor]: Taking taylor expansion of b in b 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.715 * [backup-simplify]: Simplify (+ 0 1) into 1 5.716 * [backup-simplify]: Simplify (/ 1 1) into 1 5.716 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 a) 2 (/ 1 b)) b) in b 5.716 * [taylor]: Taking taylor expansion of (fma (/ 1 a) 2 (/ 1 b)) in b 5.716 * [taylor]: Rewrote expression to (+ (* (/ 1 a) 2) (/ 1 b)) 5.716 * [taylor]: Taking taylor expansion of (* (/ 1 a) 2) in b 5.716 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.716 * [taylor]: Taking taylor expansion of a in b 5.716 * [backup-simplify]: Simplify a into a 5.716 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.717 * [taylor]: Taking taylor expansion of 2 in b 5.717 * [backup-simplify]: Simplify 2 into 2 5.717 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.717 * [taylor]: Taking taylor expansion of b in b 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.717 * [backup-simplify]: Simplify (/ 1 1) into 1 5.717 * [taylor]: Taking taylor expansion of b in b 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (+ 0 1) into 1 5.718 * [backup-simplify]: Simplify (/ 1 1) into 1 5.718 * [taylor]: Taking taylor expansion of 1 in a 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (* (/ 1 a) 2) into (/ 2 a) 5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 5.720 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 a)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 a)) 5.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 5.720 * [taylor]: Taking taylor expansion of 2 in a 5.720 * [backup-simplify]: Simplify 2 into 2 5.720 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.720 * [taylor]: Taking taylor expansion of a in a 5.720 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify 1 into 1 5.721 * [backup-simplify]: Simplify (/ 1 1) into 1 5.721 * [backup-simplify]: Simplify (* 2 1) into 2 5.721 * [backup-simplify]: Simplify 2 into 2 5.721 * [backup-simplify]: Simplify 1 into 1 5.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.722 * [backup-simplify]: Simplify (+ (* (/ 1 a) 0) (* 0 2)) into 0 5.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)))) into 0 5.725 * [taylor]: Taking taylor expansion of 0 in a 5.725 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.728 * [backup-simplify]: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 2))) into 0 5.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.729 * [backup-simplify]: Simplify (+ 0 0) into 0 5.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.731 * [taylor]: Taking taylor expansion of 0 in a 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.734 * [backup-simplify]: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 5.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify (+ 0 0) into 0 5.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.738 * [taylor]: Taking taylor expansion of 0 in a 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 2 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (+ (* 2 (* a b)) (pow b 2)) 5.739 * [backup-simplify]: Simplify (* (/ 1 (- b)) (fma (/ 1 (- a)) 2 (/ 1 (- b)))) into (* -1 (/ (fma (/ -1 a) 2 (/ -1 b)) b)) 5.739 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 a) 2 (/ -1 b)) b)) in (b a) around 0 5.739 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 a) 2 (/ -1 b)) b)) in a 5.739 * [taylor]: Taking taylor expansion of -1 in a 5.739 * [backup-simplify]: Simplify -1 into -1 5.739 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 a) 2 (/ -1 b)) b) in a 5.739 * [taylor]: Taking taylor expansion of (fma (/ -1 a) 2 (/ -1 b)) in a 5.739 * [taylor]: Rewrote expression to (+ (* (/ -1 a) 2) (/ -1 b)) 5.739 * [taylor]: Taking taylor expansion of (* (/ -1 a) 2) in a 5.739 * [taylor]: Taking taylor expansion of (/ -1 a) in a 5.739 * [taylor]: Taking taylor expansion of -1 in a 5.739 * [backup-simplify]: Simplify -1 into -1 5.739 * [taylor]: Taking taylor expansion of a in a 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 1 into 1 5.740 * [backup-simplify]: Simplify (/ -1 1) into -1 5.740 * [taylor]: Taking taylor expansion of 2 in a 5.740 * [backup-simplify]: Simplify 2 into 2 5.740 * [taylor]: Taking taylor expansion of (/ -1 b) in a 5.740 * [taylor]: Taking taylor expansion of -1 in a 5.740 * [backup-simplify]: Simplify -1 into -1 5.740 * [taylor]: Taking taylor expansion of b in a 5.740 * [backup-simplify]: Simplify b into b 5.740 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 5.740 * [taylor]: Taking taylor expansion of b in a 5.740 * [backup-simplify]: Simplify b into b 5.741 * [backup-simplify]: Simplify (* -1 2) into -2 5.741 * [backup-simplify]: Simplify (+ -2 0) into -2 5.741 * [backup-simplify]: Simplify (/ -2 b) into (/ -2 b) 5.741 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 a) 2 (/ -1 b)) b)) in b 5.741 * [taylor]: Taking taylor expansion of -1 in b 5.741 * [backup-simplify]: Simplify -1 into -1 5.741 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 a) 2 (/ -1 b)) b) in b 5.741 * [taylor]: Taking taylor expansion of (fma (/ -1 a) 2 (/ -1 b)) in b 5.741 * [taylor]: Rewrote expression to (+ (* (/ -1 a) 2) (/ -1 b)) 5.741 * [taylor]: Taking taylor expansion of (* (/ -1 a) 2) in b 5.741 * [taylor]: Taking taylor expansion of (/ -1 a) in b 5.741 * [taylor]: Taking taylor expansion of -1 in b 5.741 * [backup-simplify]: Simplify -1 into -1 5.742 * [taylor]: Taking taylor expansion of a in b 5.742 * [backup-simplify]: Simplify a into a 5.742 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 5.742 * [taylor]: Taking taylor expansion of 2 in b 5.742 * [backup-simplify]: Simplify 2 into 2 5.742 * [taylor]: Taking taylor expansion of (/ -1 b) in b 5.742 * [taylor]: Taking taylor expansion of -1 in b 5.742 * [backup-simplify]: Simplify -1 into -1 5.742 * [taylor]: Taking taylor expansion of b in b 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [backup-simplify]: Simplify (/ -1 1) into -1 5.742 * [taylor]: Taking taylor expansion of b in b 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.743 * [backup-simplify]: Simplify (/ -1 1) into -1 5.743 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 a) 2 (/ -1 b)) b)) in b 5.743 * [taylor]: Taking taylor expansion of -1 in b 5.743 * [backup-simplify]: Simplify -1 into -1 5.743 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 a) 2 (/ -1 b)) b) in b 5.743 * [taylor]: Taking taylor expansion of (fma (/ -1 a) 2 (/ -1 b)) in b 5.744 * [taylor]: Rewrote expression to (+ (* (/ -1 a) 2) (/ -1 b)) 5.744 * [taylor]: Taking taylor expansion of (* (/ -1 a) 2) in b 5.744 * [taylor]: Taking taylor expansion of (/ -1 a) in b 5.744 * [taylor]: Taking taylor expansion of -1 in b 5.744 * [backup-simplify]: Simplify -1 into -1 5.744 * [taylor]: Taking taylor expansion of a in b 5.744 * [backup-simplify]: Simplify a into a 5.744 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 5.744 * [taylor]: Taking taylor expansion of 2 in b 5.744 * [backup-simplify]: Simplify 2 into 2 5.744 * [taylor]: Taking taylor expansion of (/ -1 b) in b 5.744 * [taylor]: Taking taylor expansion of -1 in b 5.744 * [backup-simplify]: Simplify -1 into -1 5.744 * [taylor]: Taking taylor expansion of b in b 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [backup-simplify]: Simplify (/ -1 1) into -1 5.745 * [taylor]: Taking taylor expansion of b in b 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.745 * [backup-simplify]: Simplify (/ -1 1) into -1 5.746 * [backup-simplify]: Simplify (* -1 -1) into 1 5.746 * [taylor]: Taking taylor expansion of 1 in a 5.746 * [backup-simplify]: Simplify 1 into 1 5.746 * [backup-simplify]: Simplify (* (/ -1 a) 2) into (/ -2 a) 5.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.747 * [backup-simplify]: Simplify (+ (/ -2 a) 0) into (- (* 2 (/ 1 a))) 5.748 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 a))) 1) (+ (* -1 (/ 0 1)))) into (- (* 2 (/ 1 a))) 5.748 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 a)))) (* 0 -1)) into (* 2 (/ 1 a)) 5.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 5.749 * [taylor]: Taking taylor expansion of 2 in a 5.749 * [backup-simplify]: Simplify 2 into 2 5.749 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.749 * [taylor]: Taking taylor expansion of a in a 5.749 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (/ 1 1) into 1 5.749 * [backup-simplify]: Simplify (* 2 1) into 2 5.750 * [backup-simplify]: Simplify 2 into 2 5.750 * [backup-simplify]: Simplify 1 into 1 5.750 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 5.750 * [backup-simplify]: Simplify (+ (* (/ -1 a) 0) (* 0 2)) into 0 5.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.752 * [backup-simplify]: Simplify (+ 0 0) into 0 5.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 a))) (/ 0 1)))) into 0 5.754 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 a)))) (* 0 -1))) into 0 5.754 * [taylor]: Taking taylor expansion of 0 in a 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.757 * [backup-simplify]: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 2))) into 0 5.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (+ 0 0) into 0 5.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 a)))) (* 0 -1)))) into 0 5.761 * [taylor]: Taking taylor expansion of 0 in a 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.765 * [backup-simplify]: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 5.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (+ 0 0) into 0 5.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 a)))) (* 0 -1))))) into 0 5.771 * [taylor]: Taking taylor expansion of 0 in a 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 2 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (+ (* 2 (* a b)) (pow b 2)) 5.771 * * * [progress]: simplifying candidates 5.772 * [simplify]: Simplifying: (expm1 (* b (fma a 2 b))) (log1p (* b (fma a 2 b))) (* b (fma a 2 b)) (+ (log b) (log (fma a 2 b))) (log (* b (fma a 2 b))) (exp (* b (fma a 2 b))) (* (* (* b b) b) (* (* (fma a 2 b) (fma a 2 b)) (fma a 2 b))) (* (cbrt (* b (fma a 2 b))) (cbrt (* b (fma a 2 b)))) (cbrt (* b (fma a 2 b))) (* (* (* b (fma a 2 b)) (* b (fma a 2 b))) (* b (fma a 2 b))) (sqrt (* b (fma a 2 b))) (sqrt (* b (fma a 2 b))) (* (sqrt b) (sqrt (fma a 2 b))) (* (sqrt b) (sqrt (fma a 2 b))) (* b (* a 2)) (* b b) (* (* a 2) b) (* b b) (* b (* (cbrt (fma a 2 b)) (cbrt (fma a 2 b)))) (* b (sqrt (fma a 2 b))) (* b 1) (* (cbrt b) (fma a 2 b)) (* (sqrt b) (fma a 2 b)) (* b (fma a 2 b)) (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)) 5.773 * * [simplify]: Extracting # 0 : cost 0 5.773 * * [simplify]: Extracting # 1 : cost 0 5.773 * * [simplify]: Extracting # 2 : cost 0 5.773 * * [simplify]: Extracting # 3 : cost 0 5.774 * * [simplify]: Extracting # 4 : cost 0 5.774 * * [simplify]: Extracting # 5 : cost 0 5.774 * * [simplify]: Extracting # 6 : cost 0 5.774 * * [simplify]: iteration 0 : 41 enodes (cost 220 ) 5.794 * * [simplify]: Extracting # 0 : cost 0 5.795 * * [simplify]: Extracting # 1 : cost 0 5.795 * * [simplify]: Extracting # 2 : cost 0 5.795 * * [simplify]: iteration 1 : 82 enodes (cost 214 ) 5.846 * * [simplify]: Extracting # 0 : cost 0 5.846 * * [simplify]: Extracting # 1 : cost 0 5.847 * * [simplify]: Extracting # 2 : cost 0 5.847 * * [simplify]: Extracting # 3 : cost 0 5.847 * * [simplify]: Extracting # 4 : cost 0 5.847 * * [simplify]: iteration 2 : 198 enodes (cost 184 ) 5.958 * * [simplify]: Extracting # 0 : cost 0 5.959 * * [simplify]: Extracting # 1 : cost 0 5.959 * * [simplify]: Extracting # 2 : cost 0 5.960 * * [simplify]: Extracting # 3 : cost 0 5.960 * * [simplify]: Extracting # 4 : cost 0 5.961 * * [simplify]: iteration 3 : 577 enodes (cost 184 ) 7.447 * * [simplify]: Extracting # 0 : cost 0 7.461 * * [simplify]: Extracting # 1 : cost 0 7.465 * * [simplify]: Extracting # 2 : cost 0 7.470 * * [simplify]: Extracting # 3 : cost 0 7.473 * * [simplify]: Extracting # 4 : cost 0 7.478 * * [simplify]: iteration 4 : 3207 enodes (cost 184 ) 10.828 * * [simplify]: Extracting # 0 : cost 0 10.832 * * [simplify]: Extracting # 1 : cost 0 10.836 * * [simplify]: Extracting # 2 : cost 0 10.840 * * [simplify]: Extracting # 3 : cost 0 10.853 * * [simplify]: Extracting # 4 : cost 0 10.861 * * [simplify]: iteration done: 5001 enodes (cost 184 ) 10.861 * [simplify]: Simplified to: (expm1 (* b (fma a 2 b))) (log1p (* b (fma a 2 b))) (* (fma a 2 b) b) (log (* b (fma a 2 b))) (log (* b (fma a 2 b))) (exp (* b (fma a 2 b))) (pow (* (fma a 2 b) b) 3) (* (cbrt (* b (fma a 2 b))) (cbrt (* b (fma a 2 b)))) (cbrt (* b (fma a 2 b))) (pow (* (fma a 2 b) b) 3) (sqrt (* b (fma a 2 b))) (sqrt (* b (fma a 2 b))) (* (sqrt b) (sqrt (fma a 2 b))) (* (sqrt b) (sqrt (fma a 2 b))) (* 2 (* a b)) (* b b) (* 2 (* a b)) (* b b) (* b (* (cbrt (fma a 2 b)) (cbrt (fma a 2 b)))) (* b (sqrt (fma a 2 b))) b (* (cbrt b) (fma a 2 b)) (* (sqrt b) (fma a 2 b)) (* (fma a 2 b) b) (* (fma a 2 b) b) (* (fma a 2 b) b) (* (fma a 2 b) b) 10.862 * * * [progress]: adding candidates to table 10.925 * [progress]: [Phase 3 of 3] Extracting. 10.927 * [simplify]: Simplifying: (fma a a (* b (fma a 2 b))) 10.927 * * [simplify]: Extracting # 0 : cost 0 10.927 * * [simplify]: Extracting # 1 : cost 0 10.927 * * [simplify]: Extracting # 2 : cost 0 10.927 * * [simplify]: Extracting # 3 : cost 0 10.927 * * [simplify]: Extracting # 4 : cost 0 10.927 * * [simplify]: Extracting # 5 : cost 0 10.927 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 10.928 * * [simplify]: Extracting # 0 : cost 0 10.928 * * [simplify]: iteration 1 : 7 enodes (cost 9 ) 10.928 * * [simplify]: Extracting # 0 : cost 0 10.928 * * [simplify]: iteration done: 7 enodes (cost 9 ) 10.928 * [simplify]: Simplified to: (fma a a (* b (fma a 2 b))) 12.034 * [regime-testing]: Baseline error score: 0 12.036 * [regime-testing]: Oracle error score: 0 12.036 * [regime-testing]: End program error score: 0 12.057 * [regime-testing]: Target error score: 0.011001375171896487