0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.118 * * * [progress]: [2/2] Setting up program. 0.122 * [progress]: [Phase 2 of 3] Improving. 0.122 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.122 * [simplify]: Simplifying (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) 0.122 * * [simplify]: iters left: 6 (12 enodes) 0.126 * * [simplify]: iters left: 5 (52 enodes) 0.136 * * [simplify]: iters left: 4 (85 enodes) 0.181 * * [simplify]: iters left: 3 (193 enodes) 0.259 * * [simplify]: Extracting #0: cost 1 inf + 0 0.259 * * [simplify]: Extracting #1: cost 35 inf + 0 0.259 * * [simplify]: Extracting #2: cost 135 inf + 2 0.261 * * [simplify]: Extracting #3: cost 130 inf + 2363 0.267 * * [simplify]: Extracting #4: cost 53 inf + 16879 0.285 * * [simplify]: Extracting #5: cost 7 inf + 28055 0.299 * * [simplify]: Extracting #6: cost 1 inf + 29751 0.313 * * [simplify]: Extracting #7: cost 0 inf + 30084 0.326 * [simplify]: Simplified to (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1) 0.326 * [simplify]: Simplified (2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 0.337 * * [progress]: iteration 1 / 4 0.337 * * * [progress]: picking best candidate 0.341 * * * * [pick]: Picked # 0.341 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.414 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.433 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.467 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.483 * * * [progress]: generating series expansions 0.483 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.483 * [backup-simplify]: Simplify (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) into (pow (+ (pow a 2) (pow b 2)) 2) 0.483 * [approximate]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in (a b) around 0 0.483 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 0.483 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 0.483 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.483 * [taylor]: Taking taylor expansion of a in b 0.483 * [backup-simplify]: Simplify a into a 0.483 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.483 * [taylor]: Taking taylor expansion of b in b 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.484 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 0.484 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 0.484 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.484 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.484 * [taylor]: Taking taylor expansion of a in a 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.484 * [taylor]: Taking taylor expansion of b in a 0.484 * [backup-simplify]: Simplify b into b 0.484 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.484 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 0.484 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 0.484 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.484 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.484 * [taylor]: Taking taylor expansion of a in a 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.484 * [taylor]: Taking taylor expansion of b in a 0.484 * [backup-simplify]: Simplify b into b 0.484 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.484 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 0.485 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 0.485 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.485 * [taylor]: Taking taylor expansion of b in b 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in b 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.487 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 0.488 * [taylor]: Taking taylor expansion of (* 2 (pow b 2)) in b 0.488 * [taylor]: Taking taylor expansion of 2 in b 0.488 * [backup-simplify]: Simplify 2 into 2 0.488 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.488 * [taylor]: Taking taylor expansion of b in b 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in b 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 0.498 * [taylor]: Taking taylor expansion of 1 in b 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (* 2 1) into 2 0.499 * [backup-simplify]: Simplify 2 into 2 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 0.500 * [backup-simplify]: Simplify (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) 0.500 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 0.501 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.501 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.501 * [taylor]: Taking taylor expansion of a in b 0.501 * [backup-simplify]: Simplify a into a 0.501 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.501 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.501 * [taylor]: Taking taylor expansion of b in b 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (+ 0 1) into 1 0.502 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.502 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.502 * [taylor]: Taking taylor expansion of a in a 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.503 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.503 * [taylor]: Taking taylor expansion of b in a 0.503 * [backup-simplify]: Simplify b into b 0.503 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.503 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.504 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.504 * [taylor]: Taking taylor expansion of a in a 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.505 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.505 * [taylor]: Taking taylor expansion of b in a 0.505 * [backup-simplify]: Simplify b into b 0.505 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.505 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.506 * [backup-simplify]: Simplify (+ 1 0) into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of 1 in b 0.506 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in b 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.511 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 0.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 0.511 * [taylor]: Taking taylor expansion of 2 in b 0.511 * [backup-simplify]: Simplify 2 into 2 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.511 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.511 * [taylor]: Taking taylor expansion of b in b 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 0.516 * [taylor]: Taking taylor expansion of 0 in b 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.522 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.522 * [taylor]: Taking taylor expansion of b in b 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 2 1) into 2 0.523 * [backup-simplify]: Simplify 2 into 2 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 0.525 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) 0.525 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 0.525 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.525 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.525 * [taylor]: Taking taylor expansion of a in b 0.525 * [backup-simplify]: Simplify a into a 0.525 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.525 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.525 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.525 * [taylor]: Taking taylor expansion of b in b 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [backup-simplify]: Simplify (+ 0 1) into 1 0.526 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.526 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.526 * [taylor]: Taking taylor expansion of a in a 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.527 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.527 * [taylor]: Taking taylor expansion of b in a 0.527 * [backup-simplify]: Simplify b into b 0.527 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.528 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.528 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.528 * [taylor]: Taking taylor expansion of a in a 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.529 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.529 * [taylor]: Taking taylor expansion of b in a 0.529 * [backup-simplify]: Simplify b into b 0.529 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.529 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.530 * [backup-simplify]: Simplify (+ 1 0) into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of 1 in b 0.530 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [taylor]: Taking taylor expansion of 0 in b 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.535 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 0.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 0.535 * [taylor]: Taking taylor expansion of 2 in b 0.535 * [backup-simplify]: Simplify 2 into 2 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.535 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.535 * [taylor]: Taking taylor expansion of b in b 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (* 1 1) into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in b 0.540 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.545 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.545 * [taylor]: Taking taylor expansion of b in b 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 2 1) into 2 0.547 * [backup-simplify]: Simplify 2 into 2 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 0.548 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.548 * [backup-simplify]: Simplify (* (* b b) 4) into (* 4 (pow b 2)) 0.548 * [approximate]: Taking taylor expansion of (* 4 (pow b 2)) in (b) around 0 0.548 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.548 * [taylor]: Taking taylor expansion of 4 in b 0.548 * [backup-simplify]: Simplify 4 into 4 0.548 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.548 * [taylor]: Taking taylor expansion of b in b 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.548 * [taylor]: Taking taylor expansion of 4 in b 0.548 * [backup-simplify]: Simplify 4 into 4 0.548 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.548 * [taylor]: Taking taylor expansion of b in b 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (* 4 1) into 4 0.549 * [backup-simplify]: Simplify 4 into 4 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (* 4 (pow b 2)) into (* 4 (pow b 2)) 0.564 * [backup-simplify]: Simplify (* (* (/ 1 b) (/ 1 b)) 4) into (/ 4 (pow b 2)) 0.564 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 0.564 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.564 * [taylor]: Taking taylor expansion of 4 in b 0.564 * [backup-simplify]: Simplify 4 into 4 0.564 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.564 * [taylor]: Taking taylor expansion of b in b 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 4 1) into 4 0.566 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.566 * [taylor]: Taking taylor expansion of 4 in b 0.566 * [backup-simplify]: Simplify 4 into 4 0.566 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.566 * [taylor]: Taking taylor expansion of b in b 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ 4 1) into 4 0.567 * [backup-simplify]: Simplify 4 into 4 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 b)) 2)) into (* 4 (pow b 2)) 0.580 * [backup-simplify]: Simplify (* (* (/ 1 (- b)) (/ 1 (- b))) 4) into (/ 4 (pow b 2)) 0.580 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 0.580 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.580 * [taylor]: Taking taylor expansion of 4 in b 0.580 * [backup-simplify]: Simplify 4 into 4 0.581 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.581 * [taylor]: Taking taylor expansion of b in b 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (/ 4 1) into 4 0.581 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.581 * [taylor]: Taking taylor expansion of 4 in b 0.581 * [backup-simplify]: Simplify 4 into 4 0.581 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.582 * [taylor]: Taking taylor expansion of b in b 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 4 1) into 4 0.582 * [backup-simplify]: Simplify 4 into 4 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- b))) 2)) into (* 4 (pow b 2)) 0.595 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.596 * [backup-simplify]: Simplify (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) into (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) 0.596 * [approximate]: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) in (b a) around 0 0.596 * [taylor]: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) in a 0.596 * [taylor]: Taking taylor expansion of (pow b 4) in a 0.596 * [taylor]: Taking taylor expansion of b in a 0.596 * [backup-simplify]: Simplify b into b 0.596 * [taylor]: Taking taylor expansion of (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2))))) in a 0.596 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.596 * [taylor]: Taking taylor expansion of a in a 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))) in a 0.596 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in a 0.596 * [taylor]: Taking taylor expansion of 4 in a 0.596 * [backup-simplify]: Simplify 4 into 4 0.596 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.596 * [taylor]: Taking taylor expansion of b in a 0.596 * [backup-simplify]: Simplify b into b 0.596 * [taylor]: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a 0.596 * [taylor]: Taking taylor expansion of 2 in a 0.596 * [backup-simplify]: Simplify 2 into 2 0.596 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a 0.596 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.596 * [taylor]: Taking taylor expansion of a in a 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.597 * [taylor]: Taking taylor expansion of b in a 0.597 * [backup-simplify]: Simplify b into b 0.597 * [taylor]: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) in b 0.597 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.597 * [taylor]: Taking taylor expansion of b in b 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2))))) in b 0.597 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.597 * [taylor]: Taking taylor expansion of a in b 0.597 * [backup-simplify]: Simplify a into a 0.597 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))) in b 0.597 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.597 * [taylor]: Taking taylor expansion of 4 in b 0.597 * [backup-simplify]: Simplify 4 into 4 0.597 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.597 * [taylor]: Taking taylor expansion of b in b 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b 0.597 * [taylor]: Taking taylor expansion of 2 in b 0.597 * [backup-simplify]: Simplify 2 into 2 0.597 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.597 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.597 * [taylor]: Taking taylor expansion of a in b 0.597 * [backup-simplify]: Simplify a into a 0.597 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.597 * [taylor]: Taking taylor expansion of b in b 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) in b 0.597 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.597 * [taylor]: Taking taylor expansion of b in b 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2))))) in b 0.597 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.598 * [taylor]: Taking taylor expansion of a in b 0.598 * [backup-simplify]: Simplify a into a 0.598 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))) in b 0.598 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.598 * [taylor]: Taking taylor expansion of 4 in b 0.598 * [backup-simplify]: Simplify 4 into 4 0.598 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.598 * [taylor]: Taking taylor expansion of b in b 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [taylor]: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b 0.598 * [taylor]: Taking taylor expansion of 2 in b 0.598 * [backup-simplify]: Simplify 2 into 2 0.598 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.598 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.598 * [taylor]: Taking taylor expansion of a in b 0.598 * [backup-simplify]: Simplify a into a 0.598 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.598 * [taylor]: Taking taylor expansion of b in b 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.598 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.598 * [backup-simplify]: Simplify (+ (pow a 4) 0) into (pow a 4) 0.598 * [backup-simplify]: Simplify (+ 0 (pow a 4)) into (pow a 4) 0.598 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.598 * [taylor]: Taking taylor expansion of a in a 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.599 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [taylor]: Taking taylor expansion of 0 in a 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.601 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (* 4 1) into 4 0.602 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.603 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.603 * [backup-simplify]: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) 0.603 * [backup-simplify]: Simplify (+ 4 (* 2 (pow a 2))) into (+ (* 2 (pow a 2)) 4) 0.603 * [backup-simplify]: Simplify (+ 0 (+ (* 2 (pow a 2)) 4)) into (+ (* 2 (pow a 2)) 4) 0.603 * [backup-simplify]: Simplify (+ 0 (+ (* 2 (pow a 2)) 4)) into (+ (* 2 (pow a 2)) 4) 0.603 * [taylor]: Taking taylor expansion of (+ (* 2 (pow a 2)) 4) in a 0.603 * [taylor]: Taking taylor expansion of (* 2 (pow a 2)) in a 0.603 * [taylor]: Taking taylor expansion of 2 in a 0.603 * [backup-simplify]: Simplify 2 into 2 0.603 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.603 * [taylor]: Taking taylor expansion of a in a 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of 4 in a 0.603 * [backup-simplify]: Simplify 4 into 4 0.604 * [backup-simplify]: Simplify (+ 0 4) into 4 0.604 * [backup-simplify]: Simplify 4 into 4 0.604 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.608 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in a 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 0.614 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2)))))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.617 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.618 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ 1 0) into 1 0.620 * [taylor]: Taking taylor expansion of 1 in a 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (* 2 1) into 2 0.621 * [backup-simplify]: Simplify (+ 2 0) into 2 0.621 * [backup-simplify]: Simplify 2 into 2 0.622 * [backup-simplify]: Simplify (+ (* 2 (pow (* a b) 2)) (+ (* 1 (pow (* 1 b) 4)) (* 4 (pow (* 1 b) 2)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2)))) 0.622 * [backup-simplify]: Simplify (+ (* (* (/ 1 b) (/ 1 b)) 4) (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) into (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) 0.622 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in (b a) around 0 0.622 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in a 0.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in a 0.623 * [taylor]: Taking taylor expansion of 2 in a 0.623 * [backup-simplify]: Simplify 2 into 2 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in a 0.623 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a 0.623 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.623 * [taylor]: Taking taylor expansion of a in a 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.623 * [taylor]: Taking taylor expansion of b in a 0.623 * [backup-simplify]: Simplify b into b 0.623 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.623 * [backup-simplify]: Simplify (* 1 (pow b 2)) into (pow b 2) 0.623 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in a 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.624 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.624 * [taylor]: Taking taylor expansion of a in a 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in a 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in a 0.625 * [taylor]: Taking taylor expansion of (pow b 4) in a 0.625 * [taylor]: Taking taylor expansion of b in a 0.625 * [backup-simplify]: Simplify b into b 0.625 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.625 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 0.625 * [backup-simplify]: Simplify (/ 1 (pow b 4)) into (/ 1 (pow b 4)) 0.625 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in a 0.625 * [taylor]: Taking taylor expansion of 4 in a 0.625 * [backup-simplify]: Simplify 4 into 4 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.626 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.626 * [taylor]: Taking taylor expansion of b in a 0.626 * [backup-simplify]: Simplify b into b 0.626 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.626 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.626 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in b 0.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in b 0.626 * [taylor]: Taking taylor expansion of 2 in b 0.626 * [backup-simplify]: Simplify 2 into 2 0.626 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in b 0.626 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.626 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.626 * [taylor]: Taking taylor expansion of a in b 0.626 * [backup-simplify]: Simplify a into a 0.626 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.626 * [taylor]: Taking taylor expansion of b in b 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.627 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.627 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.627 * [taylor]: Taking taylor expansion of a in b 0.627 * [backup-simplify]: Simplify a into a 0.627 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.627 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.627 * [backup-simplify]: Simplify (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.627 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.627 * [taylor]: Taking taylor expansion of b in b 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.629 * [taylor]: Taking taylor expansion of 4 in b 0.629 * [backup-simplify]: Simplify 4 into 4 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.629 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.629 * [taylor]: Taking taylor expansion of b in b 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in b 0.630 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in b 0.630 * [taylor]: Taking taylor expansion of 2 in b 0.630 * [backup-simplify]: Simplify 2 into 2 0.630 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in b 0.630 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.630 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.630 * [taylor]: Taking taylor expansion of a in b 0.630 * [backup-simplify]: Simplify a into a 0.630 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.630 * [taylor]: Taking taylor expansion of b in b 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.630 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.631 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.631 * [taylor]: Taking taylor expansion of a in b 0.631 * [backup-simplify]: Simplify a into a 0.631 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.631 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.631 * [backup-simplify]: Simplify (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.631 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.631 * [taylor]: Taking taylor expansion of b in b 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.632 * [taylor]: Taking taylor expansion of 4 in b 0.632 * [backup-simplify]: Simplify 4 into 4 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.632 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.632 * [taylor]: Taking taylor expansion of b in b 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.634 * [backup-simplify]: Simplify (+ 1 0) into 1 0.634 * [backup-simplify]: Simplify (+ 0 1) into 1 0.634 * [backup-simplify]: Simplify (+ 0 1) into 1 0.634 * [taylor]: Taking taylor expansion of 1 in a 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [taylor]: Taking taylor expansion of 0 in a 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (* 4 1) into 4 0.646 * [backup-simplify]: Simplify (+ 0 4) into 4 0.647 * [backup-simplify]: Simplify (+ 0 4) into 4 0.647 * [backup-simplify]: Simplify (+ (/ 2 (pow a 2)) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 0.647 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 0.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 0.647 * [taylor]: Taking taylor expansion of 2 in a 0.647 * [backup-simplify]: Simplify 2 into 2 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.647 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.647 * [taylor]: Taking taylor expansion of a in a 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (* 1 1) into 1 0.648 * [backup-simplify]: Simplify (/ 1 1) into 1 0.648 * [taylor]: Taking taylor expansion of 4 in a 0.648 * [backup-simplify]: Simplify 4 into 4 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.650 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [taylor]: Taking taylor expansion of 0 in a 0.657 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.658 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.659 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 0.663 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.663 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.663 * [taylor]: Taking taylor expansion of a in a 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (* 2 1) into 2 0.665 * [backup-simplify]: Simplify (+ 2 0) into 2 0.665 * [backup-simplify]: Simplify 2 into 2 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 0.666 * [backup-simplify]: Simplify (+ (* (* (/ 1 (- b)) (/ 1 (- b))) 4) (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) into (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) 0.666 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in (b a) around 0 0.666 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in a 0.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in a 0.666 * [taylor]: Taking taylor expansion of 2 in a 0.666 * [backup-simplify]: Simplify 2 into 2 0.666 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in a 0.666 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a 0.666 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.666 * [taylor]: Taking taylor expansion of a in a 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.666 * [taylor]: Taking taylor expansion of b in a 0.666 * [backup-simplify]: Simplify b into b 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.666 * [backup-simplify]: Simplify (* 1 (pow b 2)) into (pow b 2) 0.666 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in a 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.666 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.666 * [taylor]: Taking taylor expansion of a in a 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (* 1 1) into 1 0.667 * [backup-simplify]: Simplify (* 1 1) into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in a 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in a 0.667 * [taylor]: Taking taylor expansion of (pow b 4) in a 0.667 * [taylor]: Taking taylor expansion of b in a 0.667 * [backup-simplify]: Simplify b into b 0.667 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.667 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 0.667 * [backup-simplify]: Simplify (/ 1 (pow b 4)) into (/ 1 (pow b 4)) 0.667 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in a 0.667 * [taylor]: Taking taylor expansion of 4 in a 0.667 * [backup-simplify]: Simplify 4 into 4 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.668 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.668 * [taylor]: Taking taylor expansion of b in a 0.668 * [backup-simplify]: Simplify b into b 0.668 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.668 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.668 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in b 0.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in b 0.668 * [taylor]: Taking taylor expansion of 2 in b 0.668 * [backup-simplify]: Simplify 2 into 2 0.668 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in b 0.668 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.668 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.668 * [taylor]: Taking taylor expansion of a in b 0.668 * [backup-simplify]: Simplify a into a 0.668 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.668 * [taylor]: Taking taylor expansion of b in b 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.668 * [backup-simplify]: Simplify (* 1 1) into 1 0.668 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.668 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.668 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.668 * [taylor]: Taking taylor expansion of a in b 0.668 * [backup-simplify]: Simplify a into a 0.668 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.668 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.668 * [backup-simplify]: Simplify (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.669 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.669 * [taylor]: Taking taylor expansion of b in b 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (* 1 1) into 1 0.669 * [backup-simplify]: Simplify (* 1 1) into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.669 * [taylor]: Taking taylor expansion of 4 in b 0.669 * [backup-simplify]: Simplify 4 into 4 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.669 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.669 * [taylor]: Taking taylor expansion of b in b 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (* 1 1) into 1 0.670 * [backup-simplify]: Simplify (/ 1 1) into 1 0.670 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))))) in b 0.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in b 0.670 * [taylor]: Taking taylor expansion of 2 in b 0.670 * [backup-simplify]: Simplify 2 into 2 0.670 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in b 0.670 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.670 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.670 * [taylor]: Taking taylor expansion of a in b 0.670 * [backup-simplify]: Simplify a into a 0.670 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.670 * [taylor]: Taking taylor expansion of b in b 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.670 * [backup-simplify]: Simplify (* 1 1) into 1 0.670 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.670 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.671 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.671 * [taylor]: Taking taylor expansion of a in b 0.671 * [backup-simplify]: Simplify a into a 0.671 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.671 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.671 * [backup-simplify]: Simplify (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.671 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.671 * [taylor]: Taking taylor expansion of b in b 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (* 1 1) into 1 0.671 * [backup-simplify]: Simplify (* 1 1) into 1 0.671 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.672 * [taylor]: Taking taylor expansion of 4 in b 0.672 * [backup-simplify]: Simplify 4 into 4 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.672 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.672 * [taylor]: Taking taylor expansion of b in b 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (+ 1 0) into 1 0.673 * [backup-simplify]: Simplify (+ 0 1) into 1 0.673 * [backup-simplify]: Simplify (+ 0 1) into 1 0.673 * [taylor]: Taking taylor expansion of 1 in a 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [taylor]: Taking taylor expansion of 0 in a 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (* 4 1) into 4 0.677 * [backup-simplify]: Simplify (+ 0 4) into 4 0.678 * [backup-simplify]: Simplify (+ 0 4) into 4 0.678 * [backup-simplify]: Simplify (+ (/ 2 (pow a 2)) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 0.678 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 0.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 0.678 * [taylor]: Taking taylor expansion of 2 in a 0.678 * [backup-simplify]: Simplify 2 into 2 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.678 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.678 * [taylor]: Taking taylor expansion of a in a 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* 1 1) into 1 0.678 * [backup-simplify]: Simplify (/ 1 1) into 1 0.678 * [taylor]: Taking taylor expansion of 4 in a 0.678 * [backup-simplify]: Simplify 4 into 4 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.679 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [taylor]: Taking taylor expansion of 0 in a 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.684 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.685 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 0.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.690 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.690 * [taylor]: Taking taylor expansion of a in a 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (* 2 1) into 2 0.692 * [backup-simplify]: Simplify (+ 2 0) into 2 0.692 * [backup-simplify]: Simplify 2 into 2 0.692 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 0.693 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.693 * [backup-simplify]: Simplify (+ (* a a) (* b b)) into (+ (pow a 2) (pow b 2)) 0.693 * [approximate]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in (a b) around 0 0.693 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 0.693 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.693 * [taylor]: Taking taylor expansion of a in b 0.693 * [backup-simplify]: Simplify a into a 0.693 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.693 * [taylor]: Taking taylor expansion of b in b 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.693 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.693 * [taylor]: Taking taylor expansion of a in a 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.693 * [taylor]: Taking taylor expansion of b in a 0.694 * [backup-simplify]: Simplify b into b 0.694 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.694 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.694 * [taylor]: Taking taylor expansion of a in a 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.694 * [taylor]: Taking taylor expansion of b in a 0.694 * [backup-simplify]: Simplify b into b 0.694 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.694 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 0.694 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.694 * [taylor]: Taking taylor expansion of b in b 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [taylor]: Taking taylor expansion of 0 in b 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.696 * [backup-simplify]: Simplify (+ 1 0) into 1 0.696 * [taylor]: Taking taylor expansion of 1 in b 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [taylor]: Taking taylor expansion of 0 in b 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.701 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [taylor]: Taking taylor expansion of 0 in b 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (+ (pow a 2) (pow b 2)) 0.702 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 0.702 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.702 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.702 * [taylor]: Taking taylor expansion of a in b 0.702 * [backup-simplify]: Simplify a into a 0.702 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.702 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.702 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.702 * [taylor]: Taking taylor expansion of b in b 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.703 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.703 * [taylor]: Taking taylor expansion of a in a 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (* 1 1) into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.703 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.703 * [taylor]: Taking taylor expansion of b in a 0.703 * [backup-simplify]: Simplify b into b 0.703 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.703 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.703 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.703 * [taylor]: Taking taylor expansion of a in a 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.704 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.704 * [taylor]: Taking taylor expansion of b in a 0.704 * [backup-simplify]: Simplify b into b 0.704 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.704 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.704 * [backup-simplify]: Simplify (+ 1 0) into 1 0.704 * [taylor]: Taking taylor expansion of 1 in b 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [taylor]: Taking taylor expansion of 0 in b 0.705 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.707 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.707 * [taylor]: Taking taylor expansion of b in b 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [taylor]: Taking taylor expansion of 0 in b 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [taylor]: Taking taylor expansion of 0 in b 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (+ (pow a 2) (pow b 2)) 0.713 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 0.713 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.713 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.713 * [taylor]: Taking taylor expansion of a in b 0.713 * [backup-simplify]: Simplify a into a 0.713 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.713 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.713 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.713 * [taylor]: Taking taylor expansion of b in b 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.714 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.714 * [taylor]: Taking taylor expansion of a in a 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.714 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.714 * [taylor]: Taking taylor expansion of b in a 0.714 * [backup-simplify]: Simplify b into b 0.715 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.715 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.715 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.715 * [taylor]: Taking taylor expansion of a in a 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (* 1 1) into 1 0.715 * [backup-simplify]: Simplify (/ 1 1) into 1 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.715 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.715 * [taylor]: Taking taylor expansion of b in a 0.715 * [backup-simplify]: Simplify b into b 0.715 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.715 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.716 * [backup-simplify]: Simplify (+ 1 0) into 1 0.716 * [taylor]: Taking taylor expansion of 1 in b 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [taylor]: Taking taylor expansion of 0 in b 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.718 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.718 * [taylor]: Taking taylor expansion of b in b 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (* 1 1) into 1 0.718 * [backup-simplify]: Simplify (/ 1 1) into 1 0.718 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [taylor]: Taking taylor expansion of 0 in b 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [taylor]: Taking taylor expansion of 0 in b 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (+ (pow a 2) (pow b 2)) 0.724 * * * [progress]: simplifying candidates 0.724 * * * * [progress]: [ 1 / 94 ] simplifiying candidate # 0.724 * [simplify]: Simplifying (+ (* a a) (* b b)) 0.725 * * [simplify]: iters left: 4 (5 enodes) 0.726 * * [simplify]: iters left: 3 (16 enodes) 0.728 * * [simplify]: Extracting #0: cost 1 inf + 0 0.728 * * [simplify]: Extracting #1: cost 4 inf + 0 0.728 * * [simplify]: Extracting #2: cost 8 inf + 0 0.728 * * [simplify]: Extracting #3: cost 4 inf + 84 0.728 * * [simplify]: Extracting #4: cost 0 inf + 410 0.728 * [simplify]: Simplified to (+ (* a a) (* b b)) 0.728 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1 1))) 1)) 0.728 * [simplify]: Simplifying (+ 1 1) 0.728 * * [simplify]: iters left: 2 (2 enodes) 0.730 * * [simplify]: iters left: 1 (9 enodes) 0.731 * * [simplify]: Extracting #0: cost 1 inf + 0 0.731 * * [simplify]: Extracting #1: cost 0 inf + 1 0.731 * [simplify]: Simplified to 2 0.731 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 0.731 * * * * [progress]: [ 2 / 94 ] simplifiying candidate # 0.732 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 0.732 * * [simplify]: iters left: 6 (6 enodes) 0.734 * * [simplify]: iters left: 5 (25 enodes) 0.742 * * [simplify]: iters left: 4 (55 enodes) 0.766 * * [simplify]: iters left: 3 (127 enodes) 0.809 * * [simplify]: iters left: 2 (201 enodes) 0.864 * * [simplify]: iters left: 1 (287 enodes) 0.938 * * [simplify]: Extracting #0: cost 1 inf + 0 0.939 * * [simplify]: Extracting #1: cost 11 inf + 0 0.939 * * [simplify]: Extracting #2: cost 47 inf + 0 0.939 * * [simplify]: Extracting #3: cost 69 inf + 328 0.940 * * [simplify]: Extracting #4: cost 43 inf + 4414 0.942 * * [simplify]: Extracting #5: cost 1 inf + 11002 0.945 * * [simplify]: Extracting #6: cost 0 inf + 11044 0.948 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 0.948 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) 1)) 0.948 * * * * [progress]: [ 3 / 94 ] simplifiying candidate # 0.948 * * * * [progress]: [ 4 / 94 ] simplifiying candidate # 0.948 * [simplify]: Simplifying (+ (* a a) (* b b)) 0.948 * * [simplify]: iters left: 4 (5 enodes) 0.950 * * [simplify]: iters left: 3 (16 enodes) 0.952 * * [simplify]: Extracting #0: cost 1 inf + 0 0.952 * * [simplify]: Extracting #1: cost 4 inf + 0 0.952 * * [simplify]: Extracting #2: cost 8 inf + 0 0.952 * * [simplify]: Extracting #3: cost 4 inf + 84 0.952 * * [simplify]: Extracting #4: cost 0 inf + 410 0.952 * [simplify]: Simplified to (+ (* a a) (* b b)) 0.952 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1 1))) 1)) 0.952 * * * * [progress]: [ 5 / 94 ] simplifiying candidate # 0.952 * * * * [progress]: [ 6 / 94 ] simplifiying candidate # 0.952 * [simplify]: Simplifying (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) 0.952 * * [simplify]: iters left: 6 (7 enodes) 0.954 * * [simplify]: iters left: 5 (22 enodes) 0.957 * * [simplify]: Extracting #0: cost 1 inf + 0 0.957 * * [simplify]: Extracting #1: cost 3 inf + 0 0.957 * * [simplify]: Extracting #2: cost 5 inf + 0 0.957 * * [simplify]: Extracting #3: cost 8 inf + 0 0.957 * * [simplify]: Extracting #4: cost 12 inf + 0 0.957 * * [simplify]: Extracting #5: cost 10 inf + 2 0.957 * * [simplify]: Extracting #6: cost 1 inf + 1026 0.958 * * [simplify]: Extracting #7: cost 0 inf + 1258 0.958 * [simplify]: Simplified to (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) 0.958 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (exp (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))))) 1)) 0.958 * * * * [progress]: [ 7 / 94 ] simplifiying candidate # 0.959 * * * * [progress]: [ 8 / 94 ] simplifiying candidate # 0.959 * * * * [progress]: [ 9 / 94 ] simplifiying candidate # 0.959 * [simplify]: Simplifying (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 0.959 * * [simplify]: iters left: 6 (8 enodes) 0.966 * * [simplify]: iters left: 5 (44 enodes) 0.984 * * [simplify]: iters left: 4 (215 enodes) 1.140 * * [simplify]: Extracting #0: cost 1 inf + 0 1.140 * * [simplify]: Extracting #1: cost 18 inf + 0 1.141 * * [simplify]: Extracting #2: cost 163 inf + 2 1.142 * * [simplify]: Extracting #3: cost 293 inf + 3397 1.156 * * [simplify]: Extracting #4: cost 133 inf + 39984 1.193 * * [simplify]: Extracting #5: cost 0 inf + 74339 1.231 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 1.231 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (cbrt (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) 1)) 1.231 * * * * [progress]: [ 10 / 94 ] simplifiying candidate # 1.231 * * * * [progress]: [ 11 / 94 ] simplifiying candidate # 1.231 * * * * [progress]: [ 12 / 94 ] simplifiying candidate # 1.231 * * * * [progress]: [ 13 / 94 ] simplifiying candidate # 1.231 * [simplify]: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) 1.232 * * [simplify]: iters left: 6 (9 enodes) 1.237 * * [simplify]: iters left: 5 (51 enodes) 1.263 * * [simplify]: iters left: 4 (160 enodes) 1.336 * * [simplify]: Extracting #0: cost 1 inf + 0 1.336 * * [simplify]: Extracting #1: cost 16 inf + 0 1.336 * * [simplify]: Extracting #2: cost 133 inf + 0 1.338 * * [simplify]: Extracting #3: cost 176 inf + 762 1.341 * * [simplify]: Extracting #4: cost 123 inf + 16423 1.354 * * [simplify]: Extracting #5: cost 13 inf + 58511 1.373 * * [simplify]: Extracting #6: cost 0 inf + 53995 1.397 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) 1.397 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))) 1)) 1.398 * [simplify]: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 1.398 * * [simplify]: iters left: 6 (10 enodes) 1.404 * * [simplify]: iters left: 5 (58 enodes) 1.428 * * [simplify]: iters left: 4 (167 enodes) 1.497 * * [simplify]: Extracting #0: cost 1 inf + 0 1.497 * * [simplify]: Extracting #1: cost 22 inf + 0 1.498 * * [simplify]: Extracting #2: cost 151 inf + 0 1.500 * * [simplify]: Extracting #3: cost 201 inf + 2913 1.511 * * [simplify]: Extracting #4: cost 75 inf + 31708 1.533 * * [simplify]: Extracting #5: cost 1 inf + 52543 1.556 * * [simplify]: Extracting #6: cost 0 inf + 52195 1.578 * * [simplify]: Extracting #7: cost 0 inf + 52115 1.595 * [simplify]: Simplified to (* (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) 1.595 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (* (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))))) 1)) 1.595 * * * * [progress]: [ 14 / 94 ] simplifiying candidate # 1.595 * [simplify]: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 1.596 * * [simplify]: iters left: 6 (12 enodes) 1.600 * * [simplify]: iters left: 5 (66 enodes) 1.615 * * [simplify]: iters left: 4 (143 enodes) 1.669 * * [simplify]: iters left: 3 (423 enodes) 1.952 * * [simplify]: Extracting #0: cost 1 inf + 0 1.952 * * [simplify]: Extracting #1: cost 62 inf + 0 1.953 * * [simplify]: Extracting #2: cost 362 inf + 0 1.956 * * [simplify]: Extracting #3: cost 577 inf + 6798 1.974 * * [simplify]: Extracting #4: cost 228 inf + 97883 2.039 * * [simplify]: Extracting #5: cost 23 inf + 172382 2.113 * * [simplify]: Extracting #6: cost 1 inf + 181419 2.164 * * [simplify]: Extracting #7: cost 0 inf + 181671 2.204 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 2.204 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))))) 1)) 2.204 * [simplify]: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))) 2.204 * * [simplify]: iters left: 6 (11 enodes) 2.207 * * [simplify]: iters left: 5 (61 enodes) 2.219 * * [simplify]: iters left: 4 (156 enodes) 2.288 * * [simplify]: iters left: 3 (447 enodes) 2.601 * * [simplify]: Extracting #0: cost 1 inf + 0 2.601 * * [simplify]: Extracting #1: cost 64 inf + 0 2.602 * * [simplify]: Extracting #2: cost 365 inf + 0 2.611 * * [simplify]: Extracting #3: cost 442 inf + 18694 2.630 * * [simplify]: Extracting #4: cost 138 inf + 82867 2.669 * * [simplify]: Extracting #5: cost 3 inf + 116392 2.698 * * [simplify]: Extracting #6: cost 0 inf + 116018 2.745 * [simplify]: Simplified to (* (- (* a a) (* b b)) (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))) 2.745 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (* b b)) (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))))) 1)) 2.746 * * * * [progress]: [ 15 / 94 ] simplifiying candidate # 2.746 * [simplify]: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3))) 2.746 * * [simplify]: iters left: 6 (12 enodes) 2.750 * * [simplify]: iters left: 5 (72 enodes) 2.770 * * [simplify]: iters left: 4 (203 enodes) 2.875 * * [simplify]: Extracting #0: cost 1 inf + 0 2.875 * * [simplify]: Extracting #1: cost 28 inf + 0 2.876 * * [simplify]: Extracting #2: cost 206 inf + 0 2.881 * * [simplify]: Extracting #3: cost 226 inf + 13759 2.899 * * [simplify]: Extracting #4: cost 62 inf + 52267 2.924 * * [simplify]: Extracting #5: cost 0 inf + 75574 2.954 * [simplify]: Simplified to (* (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 2.955 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))) 1)) 2.955 * [simplify]: Simplifying (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 2.955 * * [simplify]: iters left: 6 (11 enodes) 2.961 * * [simplify]: iters left: 5 (67 enodes) 2.978 * * [simplify]: iters left: 4 (206 enodes) 3.075 * * [simplify]: Extracting #0: cost 1 inf + 0 3.075 * * [simplify]: Extracting #1: cost 34 inf + 0 3.076 * * [simplify]: Extracting #2: cost 191 inf + 0 3.081 * * [simplify]: Extracting #3: cost 167 inf + 14554 3.099 * * [simplify]: Extracting #4: cost 20 inf + 42275 3.118 * * [simplify]: Extracting #5: cost 0 inf + 46294 3.129 * * [simplify]: Extracting #6: cost 0 inf + 46214 3.139 * [simplify]: Simplified to (+ (* (* b b) (* (* b b) (- (* a a) (* b b)))) (* (- (* a a) (* b b)) (* (* a a) (- (* a a) (* b b))))) 3.139 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* (* b b) (* (* b b) (- (* a a) (* b b)))) (* (- (* a a) (* b b)) (* (* a a) (- (* a a) (* b b))))))) 1)) 3.139 * * * * [progress]: [ 16 / 94 ] simplifiying candidate # 3.140 * [simplify]: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 3.140 * * [simplify]: iters left: 6 (8 enodes) 3.142 * * [simplify]: iters left: 5 (37 enodes) 3.156 * * [simplify]: iters left: 4 (80 enodes) 3.191 * * [simplify]: iters left: 3 (258 enodes) 3.393 * * [simplify]: Extracting #0: cost 1 inf + 0 3.393 * * [simplify]: Extracting #1: cost 70 inf + 0 3.394 * * [simplify]: Extracting #2: cost 328 inf + 0 3.397 * * [simplify]: Extracting #3: cost 375 inf + 14595 3.421 * * [simplify]: Extracting #4: cost 75 inf + 83409 3.450 * * [simplify]: Extracting #5: cost 7 inf + 101447 3.482 * * [simplify]: Extracting #6: cost 0 inf + 103613 3.519 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 3.519 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) 1)) 3.519 * [simplify]: Simplifying (* (- (* a a) (* b b)) (- (* a a) (* b b))) 3.519 * * [simplify]: iters left: 6 (6 enodes) 3.522 * * [simplify]: iters left: 5 (23 enodes) 3.530 * * [simplify]: iters left: 4 (49 enodes) 3.543 * * [simplify]: iters left: 3 (161 enodes) 3.644 * * [simplify]: Extracting #0: cost 1 inf + 0 3.644 * * [simplify]: Extracting #1: cost 43 inf + 0 3.644 * * [simplify]: Extracting #2: cost 161 inf + 0 3.645 * * [simplify]: Extracting #3: cost 180 inf + 1588 3.649 * * [simplify]: Extracting #4: cost 63 inf + 19808 3.656 * * [simplify]: Extracting #5: cost 0 inf + 30333 3.670 * * [simplify]: Extracting #6: cost 0 inf + 30253 3.685 * [simplify]: Simplified to (* (- (* a a) (* b b)) (- (* a a) (* b b))) 3.685 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) 1)) 3.686 * * * * [progress]: [ 17 / 94 ] simplifiying candidate # 3.686 * * * * [progress]: [ 18 / 94 ] simplifiying candidate # 3.686 * [simplify]: Simplifying (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 3.686 * * [simplify]: iters left: 6 (8 enodes) 3.690 * * [simplify]: iters left: 5 (29 enodes) 3.699 * * [simplify]: iters left: 4 (33 enodes) 3.710 * * [simplify]: iters left: 3 (44 enodes) 3.726 * * [simplify]: iters left: 2 (76 enodes) 3.755 * * [simplify]: iters left: 1 (140 enodes) 3.793 * * [simplify]: Extracting #0: cost 1 inf + 0 3.793 * * [simplify]: Extracting #1: cost 15 inf + 0 3.793 * * [simplify]: Extracting #2: cost 49 inf + 1 3.793 * * [simplify]: Extracting #3: cost 47 inf + 91 3.794 * * [simplify]: Extracting #4: cost 33 inf + 2899 3.795 * * [simplify]: Extracting #5: cost 4 inf + 16119 3.800 * * [simplify]: Extracting #6: cost 0 inf + 18353 3.802 * [simplify]: Simplified to (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) 3.802 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))))) 1)) 3.803 * [simplify]: Simplifying (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 3.803 * * [simplify]: iters left: 6 (7 enodes) 3.804 * * [simplify]: iters left: 5 (22 enodes) 3.807 * * [simplify]: Extracting #0: cost 1 inf + 0 3.807 * * [simplify]: Extracting #1: cost 3 inf + 0 3.807 * * [simplify]: Extracting #2: cost 5 inf + 0 3.807 * * [simplify]: Extracting #3: cost 8 inf + 0 3.807 * * [simplify]: Extracting #4: cost 12 inf + 0 3.807 * * [simplify]: Extracting #5: cost 10 inf + 2 3.807 * * [simplify]: Extracting #6: cost 1 inf + 1056 3.808 * * [simplify]: Extracting #7: cost 0 inf + 1298 3.808 * [simplify]: Simplified to (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 3.808 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))))) 1)) 3.808 * * * * [progress]: [ 19 / 94 ] simplifiying candidate # 3.808 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 3.808 * * [simplify]: iters left: 6 (7 enodes) 3.812 * * [simplify]: iters left: 5 (20 enodes) 3.818 * * [simplify]: iters left: 4 (21 enodes) 3.823 * * [simplify]: Extracting #0: cost 1 inf + 0 3.823 * * [simplify]: Extracting #1: cost 5 inf + 0 3.823 * * [simplify]: Extracting #2: cost 10 inf + 0 3.823 * * [simplify]: Extracting #3: cost 6 inf + 84 3.824 * * [simplify]: Extracting #4: cost 2 inf + 410 3.824 * * [simplify]: Extracting #5: cost 0 inf + 734 3.824 * [simplify]: Simplified to (+ (* a a) (* b b)) 3.824 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))))) 1)) 3.825 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 3.825 * * [simplify]: iters left: 6 (7 enodes) 3.828 * * [simplify]: iters left: 5 (20 enodes) 3.833 * * [simplify]: iters left: 4 (21 enodes) 3.839 * * [simplify]: Extracting #0: cost 1 inf + 0 3.839 * * [simplify]: Extracting #1: cost 5 inf + 0 3.839 * * [simplify]: Extracting #2: cost 10 inf + 0 3.839 * * [simplify]: Extracting #3: cost 6 inf + 84 3.839 * * [simplify]: Extracting #4: cost 2 inf + 410 3.839 * * [simplify]: Extracting #5: cost 0 inf + 734 3.840 * [simplify]: Simplified to (+ (* a a) (* b b)) 3.840 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b)))) 1)) 3.840 * * * * [progress]: [ 20 / 94 ] simplifiying candidate # 3.840 * [simplify]: Simplifying (* 1 1) 3.840 * * [simplify]: iters left: 2 (2 enodes) 3.842 * * [simplify]: iters left: 1 (6 enodes) 3.844 * * [simplify]: Extracting #0: cost 1 inf + 0 3.844 * * [simplify]: Extracting #1: cost 0 inf + 1 3.844 * [simplify]: Simplified to 1 3.844 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 1)) 3.845 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3.845 * * [simplify]: iters left: 6 (6 enodes) 3.848 * * [simplify]: iters left: 5 (25 enodes) 3.857 * * [simplify]: iters left: 4 (55 enodes) 3.878 * * [simplify]: iters left: 3 (127 enodes) 3.921 * * [simplify]: iters left: 2 (201 enodes) 3.952 * * [simplify]: iters left: 1 (287 enodes) 4.033 * * [simplify]: Extracting #0: cost 1 inf + 0 4.033 * * [simplify]: Extracting #1: cost 11 inf + 0 4.033 * * [simplify]: Extracting #2: cost 47 inf + 0 4.034 * * [simplify]: Extracting #3: cost 69 inf + 328 4.035 * * [simplify]: Extracting #4: cost 43 inf + 4414 4.040 * * [simplify]: Extracting #5: cost 1 inf + 11002 4.046 * * [simplify]: Extracting #6: cost 0 inf + 11044 4.051 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 4.052 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 1)) 4.052 * * * * [progress]: [ 21 / 94 ] simplifiying candidate # 4.052 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 4.052 * * [simplify]: iters left: 6 (7 enodes) 4.055 * * [simplify]: iters left: 5 (20 enodes) 4.061 * * [simplify]: iters left: 4 (21 enodes) 4.066 * * [simplify]: Extracting #0: cost 1 inf + 0 4.066 * * [simplify]: Extracting #1: cost 5 inf + 0 4.066 * * [simplify]: Extracting #2: cost 10 inf + 0 4.067 * * [simplify]: Extracting #3: cost 6 inf + 84 4.067 * * [simplify]: Extracting #4: cost 2 inf + 410 4.067 * * [simplify]: Extracting #5: cost 0 inf + 734 4.067 * [simplify]: Simplified to (+ (* a a) (* b b)) 4.067 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))))) 1)) 4.068 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 4.068 * * [simplify]: iters left: 6 (7 enodes) 4.071 * * [simplify]: iters left: 5 (20 enodes) 4.077 * * [simplify]: iters left: 4 (21 enodes) 4.079 * * [simplify]: Extracting #0: cost 1 inf + 0 4.080 * * [simplify]: Extracting #1: cost 5 inf + 0 4.080 * * [simplify]: Extracting #2: cost 10 inf + 0 4.080 * * [simplify]: Extracting #3: cost 6 inf + 84 4.080 * * [simplify]: Extracting #4: cost 2 inf + 410 4.080 * * [simplify]: Extracting #5: cost 0 inf + 734 4.080 * [simplify]: Simplified to (+ (* a a) (* b b)) 4.080 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b)))) 1)) 4.080 * * * * [progress]: [ 22 / 94 ] simplifiying candidate # 4.080 * [simplify]: Simplifying (+ (* a a) (* b b)) 4.080 * * [simplify]: iters left: 4 (5 enodes) 4.082 * * [simplify]: iters left: 3 (16 enodes) 4.084 * * [simplify]: Extracting #0: cost 1 inf + 0 4.084 * * [simplify]: Extracting #1: cost 4 inf + 0 4.084 * * [simplify]: Extracting #2: cost 8 inf + 0 4.084 * * [simplify]: Extracting #3: cost 4 inf + 84 4.084 * * [simplify]: Extracting #4: cost 0 inf + 410 4.084 * [simplify]: Simplified to (+ (* a a) (* b b)) 4.084 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (* 2 1))) 1)) 4.084 * [simplify]: Simplifying (* 2 1) 4.084 * * [simplify]: iters left: 2 (3 enodes) 4.086 * * [simplify]: iters left: 1 (9 enodes) 4.088 * * [simplify]: Extracting #0: cost 1 inf + 0 4.088 * * [simplify]: Extracting #1: cost 0 inf + 1 4.088 * [simplify]: Simplified to 2 4.088 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 4.088 * * * * [progress]: [ 23 / 94 ] simplifiying candidate # 4.088 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (* b b)) 4.088 * * [simplify]: iters left: 6 (6 enodes) 4.090 * * [simplify]: iters left: 5 (22 enodes) 4.093 * * [simplify]: iters left: 4 (33 enodes) 4.098 * * [simplify]: iters left: 3 (59 enodes) 4.109 * * [simplify]: iters left: 2 (89 enodes) 4.131 * * [simplify]: iters left: 1 (100 enodes) 4.143 * * [simplify]: Extracting #0: cost 1 inf + 0 4.143 * * [simplify]: Extracting #1: cost 8 inf + 0 4.143 * * [simplify]: Extracting #2: cost 20 inf + 123 4.143 * * [simplify]: Extracting #3: cost 24 inf + 328 4.143 * * [simplify]: Extracting #4: cost 13 inf + 1148 4.144 * * [simplify]: Extracting #5: cost 2 inf + 2848 4.145 * * [simplify]: Extracting #6: cost 0 inf + 3102 4.145 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 4.145 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* a a) (* b b)) (* a a)) (* (* b b) (+ (* a a) (* b b))))) 1)) 4.145 * * * * [progress]: [ 24 / 94 ] simplifiying candidate # 4.146 * [simplify]: Simplifying (* (* b b) (+ (* a a) (* b b))) 4.146 * * [simplify]: iters left: 6 (6 enodes) 4.147 * * [simplify]: iters left: 5 (27 enodes) 4.152 * * [simplify]: iters left: 4 (59 enodes) 4.168 * * [simplify]: iters left: 3 (95 enodes) 4.191 * * [simplify]: iters left: 2 (106 enodes) 4.215 * * [simplify]: iters left: 1 (135 enodes) 4.254 * * [simplify]: Extracting #0: cost 1 inf + 0 4.254 * * [simplify]: Extracting #1: cost 8 inf + 0 4.254 * * [simplify]: Extracting #2: cost 25 inf + 1 4.254 * * [simplify]: Extracting #3: cost 31 inf + 779 4.255 * * [simplify]: Extracting #4: cost 13 inf + 2389 4.256 * * [simplify]: Extracting #5: cost 0 inf + 5807 4.256 * [simplify]: Simplified to (* (* b b) (+ (* b b) (* a a))) 4.256 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (+ (* b b) (* a a))))) 1)) 4.257 * * * * [progress]: [ 25 / 94 ] simplifiying candidate # 4.257 * [simplify]: Simplifying (cbrt (+ (* a a) (* b b))) 4.257 * * [simplify]: iters left: 5 (6 enodes) 4.258 * * [simplify]: iters left: 4 (19 enodes) 4.261 * * [simplify]: Extracting #0: cost 1 inf + 0 4.261 * * [simplify]: Extracting #1: cost 3 inf + 0 4.261 * * [simplify]: Extracting #2: cost 6 inf + 0 4.261 * * [simplify]: Extracting #3: cost 10 inf + 0 4.261 * * [simplify]: Extracting #4: cost 6 inf + 84 4.261 * * [simplify]: Extracting #5: cost 0 inf + 814 4.261 * [simplify]: Simplified to (cbrt (+ (* a a) (* b b))) 4.261 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (+ (* a a) (* b b)) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) (cbrt (+ (* a a) (* b b))))) 1)) 4.261 * * * * [progress]: [ 26 / 94 ] simplifiying candidate # 4.262 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 4.262 * * [simplify]: iters left: 5 (6 enodes) 4.263 * * [simplify]: iters left: 4 (19 enodes) 4.265 * * [simplify]: Extracting #0: cost 1 inf + 0 4.265 * * [simplify]: Extracting #1: cost 3 inf + 0 4.265 * * [simplify]: Extracting #2: cost 6 inf + 0 4.266 * * [simplify]: Extracting #3: cost 10 inf + 0 4.266 * * [simplify]: Extracting #4: cost 6 inf + 84 4.266 * * [simplify]: Extracting #5: cost 0 inf + 734 4.266 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 4.266 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))) 1)) 4.266 * * * * [progress]: [ 27 / 94 ] simplifiying candidate # 4.266 * [simplify]: Simplifying (+ (* a a) (* b b)) 4.266 * * [simplify]: iters left: 4 (5 enodes) 4.267 * * [simplify]: iters left: 3 (16 enodes) 4.269 * * [simplify]: Extracting #0: cost 1 inf + 0 4.269 * * [simplify]: Extracting #1: cost 4 inf + 0 4.269 * * [simplify]: Extracting #2: cost 8 inf + 0 4.270 * * [simplify]: Extracting #3: cost 4 inf + 84 4.270 * * [simplify]: Extracting #4: cost 0 inf + 410 4.270 * [simplify]: Simplified to (+ (* a a) (* b b)) 4.270 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (+ (* a a) (* b b)) 1) (+ (* a a) (* b b)))) 1)) 4.270 * * * * [progress]: [ 28 / 94 ] simplifiying candidate # 4.270 * [simplify]: Simplifying (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 4.270 * * [simplify]: iters left: 6 (7 enodes) 4.272 * * [simplify]: iters left: 5 (22 enodes) 4.274 * * [simplify]: Extracting #0: cost 1 inf + 0 4.274 * * [simplify]: Extracting #1: cost 3 inf + 0 4.274 * * [simplify]: Extracting #2: cost 5 inf + 0 4.274 * * [simplify]: Extracting #3: cost 8 inf + 0 4.274 * * [simplify]: Extracting #4: cost 12 inf + 0 4.275 * * [simplify]: Extracting #5: cost 10 inf + 2 4.275 * * [simplify]: Extracting #6: cost 1 inf + 1056 4.275 * * [simplify]: Extracting #7: cost 0 inf + 1298 4.275 * [simplify]: Simplified to (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 4.275 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 4.275 * * * * [progress]: [ 29 / 94 ] simplifiying candidate # 4.275 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 4.276 * * [simplify]: iters left: 5 (6 enodes) 4.277 * * [simplify]: iters left: 4 (19 enodes) 4.282 * * [simplify]: Extracting #0: cost 1 inf + 0 4.282 * * [simplify]: Extracting #1: cost 3 inf + 0 4.283 * * [simplify]: Extracting #2: cost 6 inf + 0 4.283 * * [simplify]: Extracting #3: cost 10 inf + 0 4.283 * * [simplify]: Extracting #4: cost 6 inf + 84 4.283 * * [simplify]: Extracting #5: cost 0 inf + 734 4.283 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 4.283 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 4.283 * * * * [progress]: [ 30 / 94 ] simplifiying candidate # 4.284 * * * * [progress]: [ 31 / 94 ] simplifiying candidate # 4.284 * [simplify]: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) 4.284 * * [simplify]: iters left: 6 (9 enodes) 4.289 * * [simplify]: iters left: 5 (49 enodes) 4.300 * * [simplify]: iters left: 4 (116 enodes) 4.331 * * [simplify]: iters left: 3 (231 enodes) 4.388 * * [simplify]: iters left: 2 (363 enodes) 4.536 * * [simplify]: Extracting #0: cost 1 inf + 0 4.536 * * [simplify]: Extracting #1: cost 20 inf + 0 4.536 * * [simplify]: Extracting #2: cost 146 inf + 0 4.538 * * [simplify]: Extracting #3: cost 200 inf + 1989 4.546 * * [simplify]: Extracting #4: cost 63 inf + 22827 4.561 * * [simplify]: Extracting #5: cost 0 inf + 34174 4.574 * * [simplify]: Extracting #6: cost 0 inf + 34134 4.588 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 4.588 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* a a) (* b b)) (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))))) 1)) 4.589 * * * * [progress]: [ 32 / 94 ] simplifiying candidate # 4.589 * [simplify]: Simplifying (- (* a a) (* b b)) 4.589 * * [simplify]: iters left: 4 (5 enodes) 4.592 * * [simplify]: iters left: 3 (20 enodes) 4.598 * * [simplify]: iters left: 2 (33 enodes) 4.607 * * [simplify]: iters left: 1 (50 enodes) 4.624 * * [simplify]: Extracting #0: cost 1 inf + 0 4.624 * * [simplify]: Extracting #1: cost 11 inf + 0 4.624 * * [simplify]: Extracting #2: cost 29 inf + 0 4.624 * * [simplify]: Extracting #3: cost 19 inf + 455 4.625 * * [simplify]: Extracting #4: cost 0 inf + 2130 4.626 * * [simplify]: Extracting #5: cost 0 inf + 1970 4.628 * [simplify]: Simplified to (* (+ a b) (- a b)) 4.628 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* a a) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ a b) (- a b)))) 1)) 4.628 * * * * [progress]: [ 33 / 94 ] simplifiying candidate # 4.628 * [simplify]: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (* a a) (* b b))) 4.628 * * [simplify]: iters left: 6 (10 enodes) 4.638 * * [simplify]: iters left: 5 (56 enodes) 4.655 * * [simplify]: iters left: 4 (153 enodes) 4.712 * * [simplify]: iters left: 3 (453 enodes) 4.964 * * [simplify]: Extracting #0: cost 1 inf + 0 4.964 * * [simplify]: Extracting #1: cost 19 inf + 0 4.965 * * [simplify]: Extracting #2: cost 189 inf + 0 4.968 * * [simplify]: Extracting #3: cost 312 inf + 2270 4.980 * * [simplify]: Extracting #4: cost 199 inf + 25582 5.011 * * [simplify]: Extracting #5: cost 44 inf + 78189 5.042 * * [simplify]: Extracting #6: cost 1 inf + 94748 5.074 * * [simplify]: Extracting #7: cost 0 inf + 95000 5.105 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))) (+ (* a a) (* b b))) 5.105 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))) (+ (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 1)) 5.106 * * * * [progress]: [ 34 / 94 ] simplifiying candidate # 5.106 * [simplify]: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) 5.106 * * [simplify]: iters left: 6 (9 enodes) 5.112 * * [simplify]: iters left: 5 (47 enodes) 5.131 * * [simplify]: iters left: 4 (121 enodes) 5.189 * * [simplify]: iters left: 3 (400 enodes) 5.448 * * [simplify]: Extracting #0: cost 1 inf + 0 5.448 * * [simplify]: Extracting #1: cost 50 inf + 0 5.449 * * [simplify]: Extracting #2: cost 238 inf + 0 5.455 * * [simplify]: Extracting #3: cost 291 inf + 8982 5.479 * * [simplify]: Extracting #4: cost 75 inf + 51475 5.514 * * [simplify]: Extracting #5: cost 18 inf + 67111 5.547 * * [simplify]: Extracting #6: cost 0 inf + 72498 5.565 * * [simplify]: Extracting #7: cost 0 inf + 72458 5.593 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (* a a) (* b b))) 5.593 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (* a a) (* b b))) (- (* a a) (* b b)))) 1)) 5.593 * * * * [progress]: [ 35 / 94 ] simplifiying candidate #real (real->posit16 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) 1))> 5.593 * * * * [progress]: [ 36 / 94 ] simplifiying candidate # 5.594 * * * * [progress]: [ 37 / 94 ] simplifiying candidate # 5.594 * [simplify]: Simplifying (* (* b b) 4) 5.594 * * [simplify]: iters left: 4 (4 enodes) 5.597 * * [simplify]: iters left: 3 (15 enodes) 5.602 * * [simplify]: iters left: 2 (19 enodes) 5.608 * * [simplify]: iters left: 1 (20 enodes) 5.614 * * [simplify]: Extracting #0: cost 1 inf + 0 5.614 * * [simplify]: Extracting #1: cost 6 inf + 0 5.614 * * [simplify]: Extracting #2: cost 6 inf + 2 5.614 * * [simplify]: Extracting #3: cost 0 inf + 332 5.615 * [simplify]: Simplified to (* 4 (* b b)) 5.615 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 5.615 * * * * [progress]: [ 38 / 94 ] simplifiying candidate # 5.615 * [simplify]: Simplifying (* (* b b) 4) 5.615 * * [simplify]: iters left: 4 (4 enodes) 5.618 * * [simplify]: iters left: 3 (15 enodes) 5.623 * * [simplify]: iters left: 2 (19 enodes) 5.628 * * [simplify]: iters left: 1 (20 enodes) 5.634 * * [simplify]: Extracting #0: cost 1 inf + 0 5.634 * * [simplify]: Extracting #1: cost 6 inf + 0 5.634 * * [simplify]: Extracting #2: cost 6 inf + 2 5.634 * * [simplify]: Extracting #3: cost 0 inf + 332 5.634 * [simplify]: Simplified to (* 4 (* b b)) 5.634 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 5.634 * * * * [progress]: [ 39 / 94 ] simplifiying candidate # 5.635 * * * * [progress]: [ 40 / 94 ] simplifiying candidate # 5.635 * [simplify]: Simplifying (+ (+ (log b) (log b)) (log 4)) 5.635 * * [simplify]: iters left: 5 (6 enodes) 5.639 * * [simplify]: iters left: 4 (21 enodes) 5.645 * * [simplify]: iters left: 3 (25 enodes) 5.652 * * [simplify]: iters left: 2 (26 enodes) 5.660 * * [simplify]: Extracting #0: cost 1 inf + 0 5.660 * * [simplify]: Extracting #1: cost 6 inf + 0 5.660 * * [simplify]: Extracting #2: cost 12 inf + 0 5.660 * * [simplify]: Extracting #3: cost 10 inf + 2 5.661 * * [simplify]: Extracting #4: cost 0 inf + 1316 5.661 * [simplify]: Simplified to (+ (+ (log b) (log b)) (log 4)) 5.661 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (exp (+ (+ (log b) (log b)) (log 4))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 5.661 * * * * [progress]: [ 41 / 94 ] simplifiying candidate # 5.661 * [simplify]: Simplifying (+ (log (* b b)) (log 4)) 5.662 * * [simplify]: iters left: 5 (6 enodes) 5.665 * * [simplify]: iters left: 4 (21 enodes) 5.672 * * [simplify]: iters left: 3 (27 enodes) 5.680 * * [simplify]: iters left: 2 (32 enodes) 5.688 * * [simplify]: Extracting #0: cost 1 inf + 0 5.688 * * [simplify]: Extracting #1: cost 6 inf + 0 5.688 * * [simplify]: Extracting #2: cost 13 inf + 0 5.688 * * [simplify]: Extracting #3: cost 12 inf + 2 5.688 * * [simplify]: Extracting #4: cost 4 inf + 913 5.689 * * [simplify]: Extracting #5: cost 0 inf + 1398 5.689 * [simplify]: Simplified to (+ (+ (log b) (log 4)) (log b)) 5.689 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (exp (+ (+ (log b) (log 4)) (log b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 5.689 * * * * [progress]: [ 42 / 94 ] simplifiying candidate # 5.689 * * * * [progress]: [ 43 / 94 ] simplifiying candidate # 5.689 * * * * [progress]: [ 44 / 94 ] simplifiying candidate # 5.690 * [simplify]: Simplifying (* (* (* (* b b) b) (* (* b b) b)) (* (* 4 4) 4)) 5.690 * * [simplify]: iters left: 6 (8 enodes) 5.695 * * [simplify]: iters left: 5 (38 enodes) 5.712 * * [simplify]: iters left: 4 (98 enodes) 5.756 * * [simplify]: iters left: 3 (289 enodes) 5.934 * * [simplify]: Extracting #0: cost 1 inf + 0 5.934 * * [simplify]: Extracting #1: cost 53 inf + 0 5.935 * * [simplify]: Extracting #2: cost 102 inf + 886 5.938 * * [simplify]: Extracting #3: cost 45 inf + 8712 5.945 * * [simplify]: Extracting #4: cost 10 inf + 13910 5.952 * * [simplify]: Extracting #5: cost 0 inf + 16377 5.959 * [simplify]: Simplified to (* (* (* (* b b) (* b b)) 64) (* b b)) 5.959 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (cbrt (* (* (* (* b b) (* b b)) 64) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 5.959 * * * * [progress]: [ 45 / 94 ] simplifiying candidate # 5.960 * [simplify]: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* 4 4) 4)) 5.960 * * [simplify]: iters left: 6 (8 enodes) 5.965 * * [simplify]: iters left: 5 (39 enodes) 5.982 * * [simplify]: iters left: 4 (98 enodes) 6.026 * * [simplify]: iters left: 3 (283 enodes) 6.265 * * [simplify]: Extracting #0: cost 1 inf + 0 6.265 * * [simplify]: Extracting #1: cost 50 inf + 0 6.265 * * [simplify]: Extracting #2: cost 101 inf + 252 6.266 * * [simplify]: Extracting #3: cost 64 inf + 3759 6.270 * * [simplify]: Extracting #4: cost 17 inf + 12648 6.273 * * [simplify]: Extracting #5: cost 0 inf + 17704 6.277 * [simplify]: Simplified to (* (* 64 (* b b)) (* (* b b) (* b b))) 6.277 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (cbrt (* (* 64 (* b b)) (* (* b b) (* b b)))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.277 * * * * [progress]: [ 46 / 94 ] simplifiying candidate # 6.277 * * * * [progress]: [ 47 / 94 ] simplifiying candidate # 6.277 * * * * [progress]: [ 48 / 94 ] simplifiying candidate # 6.277 * * * * [progress]: [ 49 / 94 ] simplifiying candidate # 6.277 * * * * [progress]: [ 50 / 94 ] simplifiying candidate # 6.277 * [simplify]: Simplifying (* b (sqrt 4)) 6.277 * * [simplify]: iters left: 3 (4 enodes) 6.279 * * [simplify]: iters left: 2 (14 enodes) 6.281 * * [simplify]: Extracting #0: cost 1 inf + 0 6.281 * * [simplify]: Extracting #1: cost 4 inf + 0 6.281 * * [simplify]: Extracting #2: cost 2 inf + 2 6.281 * * [simplify]: Extracting #3: cost 0 inf + 86 6.282 * [simplify]: Simplified to (* 2 b) 6.282 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (* 2 b) (* b (sqrt 4))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.282 * [simplify]: Simplifying (* b (sqrt 4)) 6.282 * * [simplify]: iters left: 3 (4 enodes) 6.283 * * [simplify]: iters left: 2 (14 enodes) 6.285 * * [simplify]: Extracting #0: cost 1 inf + 0 6.285 * * [simplify]: Extracting #1: cost 4 inf + 0 6.286 * * [simplify]: Extracting #2: cost 2 inf + 2 6.286 * * [simplify]: Extracting #3: cost 0 inf + 86 6.286 * [simplify]: Simplified to (* 2 b) 6.286 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* b (sqrt 4)) (* 2 b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.286 * * * * [progress]: [ 51 / 94 ] simplifiying candidate # 6.286 * [simplify]: Simplifying (cbrt 4) 6.286 * * [simplify]: iters left: 1 (2 enodes) 6.287 * * [simplify]: Extracting #0: cost 1 inf + 0 6.287 * * [simplify]: Extracting #1: cost 3 inf + 0 6.287 * * [simplify]: Extracting #2: cost 2 inf + 1 6.287 * * [simplify]: Extracting #3: cost 0 inf + 163 6.287 * [simplify]: Simplified to (cbrt 4) 6.287 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* (* b b) (* (cbrt 4) (cbrt 4))) (cbrt 4)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.287 * * * * [progress]: [ 52 / 94 ] simplifiying candidate # 6.287 * [simplify]: Simplifying (sqrt 4) 6.287 * * [simplify]: iters left: 1 (2 enodes) 6.288 * * [simplify]: Extracting #0: cost 1 inf + 0 6.289 * * [simplify]: Extracting #1: cost 0 inf + 1 6.289 * [simplify]: Simplified to 2 6.289 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* (* b b) (sqrt 4)) 2) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.289 * * * * [progress]: [ 53 / 94 ] simplifiying candidate # 6.289 * * * * [progress]: [ 54 / 94 ] simplifiying candidate # 6.289 * * * * [progress]: [ 55 / 94 ] simplifiying candidate #real (real->posit16 (* (* b b) 4))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1))> 6.289 * * * * [progress]: [ 56 / 94 ] simplifiying candidate # 6.289 * * * * [progress]: [ 57 / 94 ] simplifiying candidate # 6.289 * [simplify]: Simplifying (* (exp (* (* b b) 4)) (exp (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 6.289 * * [simplify]: iters left: 6 (11 enodes) 6.292 * * [simplify]: iters left: 5 (50 enodes) 6.305 * * [simplify]: iters left: 4 (117 enodes) 6.334 * * [simplify]: iters left: 3 (299 enodes) 6.414 * * [simplify]: Extracting #0: cost 1 inf + 0 6.414 * * [simplify]: Extracting #1: cost 22 inf + 0 6.414 * * [simplify]: Extracting #2: cost 135 inf + 0 6.416 * * [simplify]: Extracting #3: cost 196 inf + 1527 6.421 * * [simplify]: Extracting #4: cost 94 inf + 23900 6.429 * * [simplify]: Extracting #5: cost 20 inf + 43908 6.439 * * [simplify]: Extracting #6: cost 1 inf + 51217 6.448 * * [simplify]: Extracting #7: cost 0 inf + 51539 6.467 * [simplify]: Simplified to (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) 6.467 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) 1)) 6.467 * * * * [progress]: [ 58 / 94 ] simplifiying candidate # 6.467 * * * * [progress]: [ 59 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 60 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 61 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 62 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 63 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 64 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 65 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 66 / 94 ] simplifiying candidate # 6.468 * * * * [progress]: [ 67 / 94 ] simplifiying candidate # 6.468 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (* b b)) 6.468 * * [simplify]: iters left: 6 (6 enodes) 6.471 * * [simplify]: iters left: 5 (22 enodes) 6.478 * * [simplify]: iters left: 4 (33 enodes) 6.488 * * [simplify]: iters left: 3 (59 enodes) 6.502 * * [simplify]: iters left: 2 (89 enodes) 6.514 * * [simplify]: iters left: 1 (100 enodes) 6.527 * * [simplify]: Extracting #0: cost 1 inf + 0 6.527 * * [simplify]: Extracting #1: cost 8 inf + 0 6.527 * * [simplify]: Extracting #2: cost 20 inf + 123 6.527 * * [simplify]: Extracting #3: cost 24 inf + 328 6.528 * * [simplify]: Extracting #4: cost 13 inf + 1148 6.529 * * [simplify]: Extracting #5: cost 2 inf + 2848 6.530 * * [simplify]: Extracting #6: cost 0 inf + 3102 6.531 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 6.531 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (* a a))) (* (* b b) (+ (* a a) (* b b)))) 1)) 6.531 * * * * [progress]: [ 68 / 94 ] simplifiying candidate # 6.532 * [simplify]: Simplifying (* (* b b) (+ (* a a) (* b b))) 6.532 * * [simplify]: iters left: 6 (6 enodes) 6.535 * * [simplify]: iters left: 5 (27 enodes) 6.545 * * [simplify]: iters left: 4 (59 enodes) 6.566 * * [simplify]: iters left: 3 (95 enodes) 6.589 * * [simplify]: iters left: 2 (106 enodes) 6.613 * * [simplify]: iters left: 1 (135 enodes) 6.646 * * [simplify]: Extracting #0: cost 1 inf + 0 6.646 * * [simplify]: Extracting #1: cost 8 inf + 0 6.646 * * [simplify]: Extracting #2: cost 25 inf + 1 6.647 * * [simplify]: Extracting #3: cost 31 inf + 779 6.647 * * [simplify]: Extracting #4: cost 13 inf + 2389 6.648 * * [simplify]: Extracting #5: cost 0 inf + 5807 6.649 * [simplify]: Simplified to (* (* b b) (+ (* b b) (* a a))) 6.649 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (+ (* (* b b) 4) (* (* a a) (+ (* a a) (* b b)))) (* (* b b) (+ (* b b) (* a a)))) 1)) 6.649 * * * * [progress]: [ 69 / 94 ] simplifiying candidate #real (real->posit16 (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) 1))> 6.649 * * * * [progress]: [ 70 / 94 ] simplifiying candidate # 6.649 * * * * [progress]: [ 71 / 94 ] simplifiying candidate # 6.649 * [simplify]: Simplifying (* (exp (* a a)) (exp (* b b))) 6.649 * * [simplify]: iters left: 5 (7 enodes) 6.651 * * [simplify]: iters left: 4 (28 enodes) 6.655 * * [simplify]: iters left: 3 (43 enodes) 6.661 * * [simplify]: iters left: 2 (75 enodes) 6.685 * * [simplify]: iters left: 1 (169 enodes) 6.758 * * [simplify]: Extracting #0: cost 1 inf + 0 6.758 * * [simplify]: Extracting #1: cost 28 inf + 0 6.759 * * [simplify]: Extracting #2: cost 119 inf + 0 6.760 * * [simplify]: Extracting #3: cost 136 inf + 1135 6.761 * * [simplify]: Extracting #4: cost 131 inf + 1568 6.764 * * [simplify]: Extracting #5: cost 99 inf + 8302 6.774 * * [simplify]: Extracting #6: cost 11 inf + 60490 6.787 * * [simplify]: Extracting #7: cost 0 inf + 69564 6.794 * [simplify]: Simplified to (exp (+ (* a a) (* b b))) 6.794 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (log (exp (+ (* a a) (* b b)))))) 1)) 6.794 * * * * [progress]: [ 72 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 73 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 74 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 75 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 76 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 77 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 78 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 79 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 80 / 94 ] simplifiying candidate # 6.794 * * * * [progress]: [ 81 / 94 ] simplifiying candidate #real (real->posit16 (+ (* a a) (* b b)))))) 1))> 6.795 * * * * [progress]: [ 82 / 94 ] simplifiying candidate # 6.795 * * * * [progress]: [ 83 / 94 ] simplifiying candidate # 6.795 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 6.795 * * [simplify]: iters left: 6 (12 enodes) 6.799 * * [simplify]: iters left: 5 (57 enodes) 6.809 * * [simplify]: iters left: 4 (96 enodes) 6.832 * * [simplify]: iters left: 3 (169 enodes) 6.882 * * [simplify]: iters left: 2 (239 enodes) 6.954 * * [simplify]: iters left: 1 (275 enodes) 6.993 * * [simplify]: Extracting #0: cost 1 inf + 0 6.993 * * [simplify]: Extracting #1: cost 8 inf + 0 6.993 * * [simplify]: Extracting #2: cost 40 inf + 0 6.993 * * [simplify]: Extracting #3: cost 53 inf + 168 6.994 * * [simplify]: Extracting #4: cost 28 inf + 3385 6.996 * * [simplify]: Extracting #5: cost 5 inf + 5794 6.998 * * [simplify]: Extracting #6: cost 0 inf + 6849 7.005 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 7.005 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b)))) 1)) 7.005 * * * * [progress]: [ 84 / 94 ] simplifiying candidate # 7.005 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 7.005 * * [simplify]: iters left: 6 (12 enodes) 7.014 * * [simplify]: iters left: 5 (57 enodes) 7.034 * * [simplify]: iters left: 4 (96 enodes) 7.065 * * [simplify]: iters left: 3 (169 enodes) 7.118 * * [simplify]: iters left: 2 (236 enodes) 7.189 * * [simplify]: iters left: 1 (270 enodes) 7.241 * * [simplify]: Extracting #0: cost 1 inf + 0 7.242 * * [simplify]: Extracting #1: cost 8 inf + 0 7.242 * * [simplify]: Extracting #2: cost 39 inf + 0 7.242 * * [simplify]: Extracting #3: cost 54 inf + 4 7.242 * * [simplify]: Extracting #4: cost 40 inf + 2137 7.246 * * [simplify]: Extracting #5: cost 4 inf + 6453 7.248 * * [simplify]: Extracting #6: cost 0 inf + 6723 7.250 * * [simplify]: Extracting #7: cost 0 inf + 6603 7.252 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 7.252 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 7.252 * * * * [progress]: [ 85 / 94 ] simplifiying candidate # 7.252 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 7.252 * * [simplify]: iters left: 6 (12 enodes) 7.257 * * [simplify]: iters left: 5 (57 enodes) 7.268 * * [simplify]: iters left: 4 (96 enodes) 7.298 * * [simplify]: iters left: 3 (169 enodes) 7.350 * * [simplify]: iters left: 2 (236 enodes) 7.391 * * [simplify]: iters left: 1 (270 enodes) 7.435 * * [simplify]: Extracting #0: cost 1 inf + 0 7.436 * * [simplify]: Extracting #1: cost 8 inf + 0 7.436 * * [simplify]: Extracting #2: cost 39 inf + 0 7.436 * * [simplify]: Extracting #3: cost 54 inf + 4 7.436 * * [simplify]: Extracting #4: cost 40 inf + 2137 7.438 * * [simplify]: Extracting #5: cost 4 inf + 6453 7.440 * * [simplify]: Extracting #6: cost 0 inf + 6723 7.442 * * [simplify]: Extracting #7: cost 0 inf + 6603 7.443 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 7.443 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 7.444 * * * * [progress]: [ 86 / 94 ] simplifiying candidate # 7.444 * [simplify]: Simplifying (* 4 (pow b 2)) 7.444 * * [simplify]: iters left: 3 (5 enodes) 7.446 * * [simplify]: iters left: 2 (21 enodes) 7.449 * * [simplify]: iters left: 1 (29 enodes) 7.455 * * [simplify]: Extracting #0: cost 1 inf + 0 7.455 * * [simplify]: Extracting #1: cost 6 inf + 0 7.455 * * [simplify]: Extracting #2: cost 6 inf + 43 7.455 * * [simplify]: Extracting #3: cost 0 inf + 333 7.455 * [simplify]: Simplified to (* (* b b) 4) 7.455 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.455 * * * * [progress]: [ 87 / 94 ] simplifiying candidate # 7.456 * [simplify]: Simplifying (* 4 (pow b 2)) 7.456 * * [simplify]: iters left: 3 (5 enodes) 7.460 * * [simplify]: iters left: 2 (21 enodes) 7.466 * * [simplify]: iters left: 1 (29 enodes) 7.475 * * [simplify]: Extracting #0: cost 1 inf + 0 7.475 * * [simplify]: Extracting #1: cost 6 inf + 0 7.475 * * [simplify]: Extracting #2: cost 6 inf + 43 7.475 * * [simplify]: Extracting #3: cost 0 inf + 333 7.476 * [simplify]: Simplified to (* (* b b) 4) 7.476 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.476 * * * * [progress]: [ 88 / 94 ] simplifiying candidate # 7.476 * [simplify]: Simplifying (* 4 (pow b 2)) 7.476 * * [simplify]: iters left: 3 (5 enodes) 7.480 * * [simplify]: iters left: 2 (21 enodes) 7.487 * * [simplify]: iters left: 1 (29 enodes) 7.494 * * [simplify]: Extracting #0: cost 1 inf + 0 7.494 * * [simplify]: Extracting #1: cost 6 inf + 0 7.494 * * [simplify]: Extracting #2: cost 6 inf + 43 7.494 * * [simplify]: Extracting #3: cost 0 inf + 333 7.495 * [simplify]: Simplified to (* (* b b) 4) 7.495 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.495 * * * * [progress]: [ 89 / 94 ] simplifiying candidate # 7.495 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2)))) 7.495 * * [simplify]: iters left: 6 (12 enodes) 7.499 * * [simplify]: iters left: 5 (56 enodes) 7.509 * * [simplify]: iters left: 4 (102 enodes) 7.535 * * [simplify]: iters left: 3 (198 enodes) 7.585 * * [simplify]: iters left: 2 (311 enodes) 7.647 * * [simplify]: iters left: 1 (364 enodes) 7.730 * * [simplify]: Extracting #0: cost 1 inf + 0 7.730 * * [simplify]: Extracting #1: cost 14 inf + 0 7.730 * * [simplify]: Extracting #2: cost 47 inf + 1 7.730 * * [simplify]: Extracting #3: cost 53 inf + 1068 7.732 * * [simplify]: Extracting #4: cost 7 inf + 7022 7.734 * * [simplify]: Extracting #5: cost 0 inf + 7604 7.737 * * [simplify]: Extracting #6: cost 0 inf + 7484 7.739 * [simplify]: Simplified to (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 7.739 * [simplify]: Simplified (2 1) to (λ (a b) (- (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 1)) 7.739 * * * * [progress]: [ 90 / 94 ] simplifiying candidate # 7.739 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 7.740 * * [simplify]: iters left: 6 (12 enodes) 7.744 * * [simplify]: iters left: 5 (57 enodes) 7.753 * * [simplify]: iters left: 4 (96 enodes) 7.780 * * [simplify]: iters left: 3 (169 enodes) 7.835 * * [simplify]: iters left: 2 (239 enodes) 7.891 * * [simplify]: iters left: 1 (275 enodes) 7.933 * * [simplify]: Extracting #0: cost 1 inf + 0 7.933 * * [simplify]: Extracting #1: cost 8 inf + 0 7.933 * * [simplify]: Extracting #2: cost 40 inf + 0 7.933 * * [simplify]: Extracting #3: cost 53 inf + 168 7.934 * * [simplify]: Extracting #4: cost 28 inf + 3385 7.935 * * [simplify]: Extracting #5: cost 5 inf + 5794 7.937 * * [simplify]: Extracting #6: cost 0 inf + 6849 7.939 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 7.939 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 7.939 * * * * [progress]: [ 91 / 94 ] simplifiying candidate # 7.939 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 7.939 * * [simplify]: iters left: 6 (12 enodes) 7.943 * * [simplify]: iters left: 5 (57 enodes) 7.953 * * [simplify]: iters left: 4 (96 enodes) 7.969 * * [simplify]: iters left: 3 (169 enodes) 7.998 * * [simplify]: iters left: 2 (239 enodes) 8.038 * * [simplify]: iters left: 1 (275 enodes) 8.120 * * [simplify]: Extracting #0: cost 1 inf + 0 8.120 * * [simplify]: Extracting #1: cost 8 inf + 0 8.120 * * [simplify]: Extracting #2: cost 40 inf + 0 8.120 * * [simplify]: Extracting #3: cost 53 inf + 168 8.122 * * [simplify]: Extracting #4: cost 28 inf + 3385 8.125 * * [simplify]: Extracting #5: cost 5 inf + 5794 8.129 * * [simplify]: Extracting #6: cost 0 inf + 6849 8.133 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 8.133 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 8.133 * * * * [progress]: [ 92 / 94 ] simplifiying candidate # 8.133 * [simplify]: Simplifying (+ (pow a 2) (pow b 2)) 8.133 * * [simplify]: iters left: 3 (6 enodes) 8.137 * * [simplify]: iters left: 2 (27 enodes) 8.145 * * [simplify]: iters left: 1 (31 enodes) 8.153 * * [simplify]: Extracting #0: cost 1 inf + 0 8.153 * * [simplify]: Extracting #1: cost 4 inf + 0 8.153 * * [simplify]: Extracting #2: cost 9 inf + 0 8.153 * * [simplify]: Extracting #3: cost 6 inf + 3 8.154 * * [simplify]: Extracting #4: cost 1 inf + 370 8.154 * * [simplify]: Extracting #5: cost 0 inf + 411 8.154 * [simplify]: Simplified to (+ (* a a) (* b b)) 8.154 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 8.154 * * * * [progress]: [ 93 / 94 ] simplifiying candidate # 8.154 * [simplify]: Simplifying (+ (pow a 2) (pow b 2)) 8.155 * * [simplify]: iters left: 3 (6 enodes) 8.158 * * [simplify]: iters left: 2 (27 enodes) 8.166 * * [simplify]: iters left: 1 (31 enodes) 8.174 * * [simplify]: Extracting #0: cost 1 inf + 0 8.174 * * [simplify]: Extracting #1: cost 4 inf + 0 8.174 * * [simplify]: Extracting #2: cost 9 inf + 0 8.174 * * [simplify]: Extracting #3: cost 6 inf + 3 8.174 * * [simplify]: Extracting #4: cost 1 inf + 370 8.175 * * [simplify]: Extracting #5: cost 0 inf + 411 8.175 * [simplify]: Simplified to (+ (* a a) (* b b)) 8.175 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 8.175 * * * * [progress]: [ 94 / 94 ] simplifiying candidate # 8.175 * [simplify]: Simplifying (+ (pow a 2) (pow b 2)) 8.175 * * [simplify]: iters left: 3 (6 enodes) 8.181 * * [simplify]: iters left: 2 (27 enodes) 8.191 * * [simplify]: iters left: 1 (31 enodes) 8.199 * * [simplify]: Extracting #0: cost 1 inf + 0 8.199 * * [simplify]: Extracting #1: cost 4 inf + 0 8.199 * * [simplify]: Extracting #2: cost 9 inf + 0 8.199 * * [simplify]: Extracting #3: cost 6 inf + 3 8.199 * * [simplify]: Extracting #4: cost 1 inf + 370 8.199 * * [simplify]: Extracting #5: cost 0 inf + 411 8.199 * [simplify]: Simplified to (+ (* a a) (* b b)) 8.200 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 8.200 * * * [progress]: adding candidates to table 9.133 * * [progress]: iteration 2 / 4 9.133 * * * [progress]: picking best candidate 9.146 * * * * [pick]: Picked # 9.146 * * * [progress]: localizing error 9.175 * * * [progress]: generating rewritten candidates 9.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 9.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 9.188 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 9.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.336 * * * [progress]: generating series expansions 9.336 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 9.336 * [backup-simplify]: Simplify (sqrt (+ (* a a) (* b b))) into (sqrt (+ (pow a 2) (pow b 2))) 9.336 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in (a b) around 0 9.337 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 9.337 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.337 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.337 * [taylor]: Taking taylor expansion of a in b 9.337 * [backup-simplify]: Simplify a into a 9.337 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.337 * [taylor]: Taking taylor expansion of b in b 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.337 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.337 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.337 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 9.337 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.338 * [backup-simplify]: Simplify (+ 0 0) into 0 9.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 9.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.338 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.338 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.338 * [taylor]: Taking taylor expansion of a in a 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.338 * [taylor]: Taking taylor expansion of b in a 9.338 * [backup-simplify]: Simplify b into b 9.338 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.338 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.338 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.338 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.338 * [backup-simplify]: Simplify (+ 0 0) into 0 9.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.339 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.339 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.339 * [taylor]: Taking taylor expansion of a in a 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.339 * [taylor]: Taking taylor expansion of b in a 9.339 * [backup-simplify]: Simplify b into b 9.339 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.339 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.339 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.339 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.339 * [backup-simplify]: Simplify (+ 0 0) into 0 9.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.339 * [taylor]: Taking taylor expansion of b in b 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [taylor]: Taking taylor expansion of 0 in b 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.340 * [backup-simplify]: Simplify (* 1 1) into 1 9.340 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.340 * [backup-simplify]: Simplify (+ 1 0) into 1 9.341 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 9.341 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 9.341 * [taylor]: Taking taylor expansion of 1/2 in b 9.341 * [backup-simplify]: Simplify 1/2 into 1/2 9.341 * [taylor]: Taking taylor expansion of b in b 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 1 into 1 9.341 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.345 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.345 * [backup-simplify]: Simplify (+ 0 0) into 0 9.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 9.345 * [taylor]: Taking taylor expansion of 0 in b 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify (* 1 (* b 1)) into b 9.346 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.346 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.346 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.346 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.346 * [taylor]: Taking taylor expansion of a in b 9.346 * [backup-simplify]: Simplify a into a 9.346 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.346 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.346 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.346 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.346 * [taylor]: Taking taylor expansion of b in b 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [backup-simplify]: Simplify (* 1 1) into 1 9.347 * [backup-simplify]: Simplify (/ 1 1) into 1 9.347 * [backup-simplify]: Simplify (+ 0 1) into 1 9.347 * [backup-simplify]: Simplify (sqrt 1) into 1 9.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.348 * [backup-simplify]: Simplify (+ 0 0) into 0 9.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.349 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.349 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.349 * [taylor]: Taking taylor expansion of a in a 9.349 * [backup-simplify]: Simplify 0 into 0 9.349 * [backup-simplify]: Simplify 1 into 1 9.349 * [backup-simplify]: Simplify (* 1 1) into 1 9.349 * [backup-simplify]: Simplify (/ 1 1) into 1 9.349 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.349 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.349 * [taylor]: Taking taylor expansion of b in a 9.349 * [backup-simplify]: Simplify b into b 9.349 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.350 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.350 * [backup-simplify]: Simplify (+ 1 0) into 1 9.350 * [backup-simplify]: Simplify (sqrt 1) into 1 9.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.352 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.352 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.352 * [taylor]: Taking taylor expansion of a in a 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 1 into 1 9.352 * [backup-simplify]: Simplify (* 1 1) into 1 9.352 * [backup-simplify]: Simplify (/ 1 1) into 1 9.352 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.352 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.352 * [taylor]: Taking taylor expansion of b in a 9.352 * [backup-simplify]: Simplify b into b 9.352 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.352 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.353 * [backup-simplify]: Simplify (+ 1 0) into 1 9.353 * [backup-simplify]: Simplify (sqrt 1) into 1 9.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.354 * [backup-simplify]: Simplify (+ 0 0) into 0 9.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.354 * [taylor]: Taking taylor expansion of 1 in b 9.354 * [backup-simplify]: Simplify 1 into 1 9.354 * [taylor]: Taking taylor expansion of 0 in b 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify 1 into 1 9.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.356 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.356 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.356 * [taylor]: Taking taylor expansion of 1/2 in b 9.356 * [backup-simplify]: Simplify 1/2 into 1/2 9.356 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.356 * [taylor]: Taking taylor expansion of b in b 9.356 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify 1 into 1 9.357 * [backup-simplify]: Simplify (* 1 1) into 1 9.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.359 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.359 * [backup-simplify]: Simplify (+ 0 0) into 0 9.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.360 * [taylor]: Taking taylor expansion of 0 in b 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a)))) into a 9.361 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.361 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.361 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.361 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.361 * [taylor]: Taking taylor expansion of a in b 9.361 * [backup-simplify]: Simplify a into a 9.361 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.361 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.361 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.361 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.361 * [taylor]: Taking taylor expansion of b in b 9.361 * [backup-simplify]: Simplify 0 into 0 9.362 * [backup-simplify]: Simplify 1 into 1 9.362 * [backup-simplify]: Simplify (* 1 1) into 1 9.362 * [backup-simplify]: Simplify (/ 1 1) into 1 9.362 * [backup-simplify]: Simplify (+ 0 1) into 1 9.362 * [backup-simplify]: Simplify (sqrt 1) into 1 9.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.363 * [backup-simplify]: Simplify (+ 0 0) into 0 9.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.364 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.364 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.364 * [taylor]: Taking taylor expansion of a in a 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 1 into 1 9.364 * [backup-simplify]: Simplify (* 1 1) into 1 9.364 * [backup-simplify]: Simplify (/ 1 1) into 1 9.364 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.365 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.365 * [taylor]: Taking taylor expansion of b in a 9.365 * [backup-simplify]: Simplify b into b 9.365 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.365 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.365 * [backup-simplify]: Simplify (+ 1 0) into 1 9.366 * [backup-simplify]: Simplify (sqrt 1) into 1 9.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify (+ 0 0) into 0 9.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.368 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.368 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.368 * [taylor]: Taking taylor expansion of a in a 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 1 into 1 9.369 * [backup-simplify]: Simplify (* 1 1) into 1 9.369 * [backup-simplify]: Simplify (/ 1 1) into 1 9.369 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.369 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.369 * [taylor]: Taking taylor expansion of b in a 9.369 * [backup-simplify]: Simplify b into b 9.369 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.369 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.370 * [backup-simplify]: Simplify (+ 1 0) into 1 9.370 * [backup-simplify]: Simplify (sqrt 1) into 1 9.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (+ 0 0) into 0 9.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.373 * [taylor]: Taking taylor expansion of 1 in b 9.373 * [backup-simplify]: Simplify 1 into 1 9.373 * [taylor]: Taking taylor expansion of 0 in b 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify 1 into 1 9.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.375 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.376 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.376 * [taylor]: Taking taylor expansion of 1/2 in b 9.376 * [backup-simplify]: Simplify 1/2 into 1/2 9.376 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.376 * [taylor]: Taking taylor expansion of b in b 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.377 * [backup-simplify]: Simplify (* 1 1) into 1 9.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.381 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.381 * [backup-simplify]: Simplify (+ 0 0) into 0 9.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.382 * [taylor]: Taking taylor expansion of 0 in b 9.382 * [backup-simplify]: Simplify 0 into 0 9.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a))))) into (* -1 a) 9.384 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.384 * [backup-simplify]: Simplify (sqrt (+ (* a a) (* b b))) into (sqrt (+ (pow a 2) (pow b 2))) 9.384 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in (a b) around 0 9.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 9.385 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.385 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.385 * [taylor]: Taking taylor expansion of a in b 9.385 * [backup-simplify]: Simplify a into a 9.385 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.385 * [taylor]: Taking taylor expansion of b in b 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify 1 into 1 9.385 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.385 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.385 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 9.385 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.385 * [backup-simplify]: Simplify (+ 0 0) into 0 9.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 9.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.386 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.386 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.386 * [taylor]: Taking taylor expansion of a in a 9.386 * [backup-simplify]: Simplify 0 into 0 9.386 * [backup-simplify]: Simplify 1 into 1 9.386 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.386 * [taylor]: Taking taylor expansion of b in a 9.386 * [backup-simplify]: Simplify b into b 9.386 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.386 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.386 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.386 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.387 * [backup-simplify]: Simplify (+ 0 0) into 0 9.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.387 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.387 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.387 * [taylor]: Taking taylor expansion of a in a 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.387 * [taylor]: Taking taylor expansion of b in a 9.387 * [backup-simplify]: Simplify b into b 9.387 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.387 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.387 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.388 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.388 * [backup-simplify]: Simplify (+ 0 0) into 0 9.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.388 * [taylor]: Taking taylor expansion of b in b 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 1 into 1 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [taylor]: Taking taylor expansion of 0 in b 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 1 into 1 9.389 * [backup-simplify]: Simplify (* 1 1) into 1 9.389 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.390 * [backup-simplify]: Simplify (+ 1 0) into 1 9.390 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 9.390 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 9.390 * [taylor]: Taking taylor expansion of 1/2 in b 9.391 * [backup-simplify]: Simplify 1/2 into 1/2 9.391 * [taylor]: Taking taylor expansion of b in b 9.391 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify 1 into 1 9.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 0 into 0 9.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.394 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.394 * [backup-simplify]: Simplify (+ 0 0) into 0 9.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 9.394 * [taylor]: Taking taylor expansion of 0 in b 9.394 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify (* 1 (* b 1)) into b 9.396 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.396 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.396 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.396 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.396 * [taylor]: Taking taylor expansion of a in b 9.396 * [backup-simplify]: Simplify a into a 9.396 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.396 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.396 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.396 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.396 * [taylor]: Taking taylor expansion of b in b 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify 1 into 1 9.397 * [backup-simplify]: Simplify (* 1 1) into 1 9.397 * [backup-simplify]: Simplify (/ 1 1) into 1 9.397 * [backup-simplify]: Simplify (+ 0 1) into 1 9.398 * [backup-simplify]: Simplify (sqrt 1) into 1 9.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.400 * [backup-simplify]: Simplify (+ 0 0) into 0 9.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.401 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.401 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.401 * [taylor]: Taking taylor expansion of a in a 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [backup-simplify]: Simplify (* 1 1) into 1 9.402 * [backup-simplify]: Simplify (/ 1 1) into 1 9.402 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.402 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.402 * [taylor]: Taking taylor expansion of b in a 9.402 * [backup-simplify]: Simplify b into b 9.402 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.402 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.402 * [backup-simplify]: Simplify (+ 1 0) into 1 9.403 * [backup-simplify]: Simplify (sqrt 1) into 1 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.404 * [backup-simplify]: Simplify (+ 0 0) into 0 9.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.405 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.405 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.405 * [taylor]: Taking taylor expansion of a in a 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 1 into 1 9.406 * [backup-simplify]: Simplify (* 1 1) into 1 9.406 * [backup-simplify]: Simplify (/ 1 1) into 1 9.406 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.406 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.406 * [taylor]: Taking taylor expansion of b in a 9.406 * [backup-simplify]: Simplify b into b 9.406 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.406 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.407 * [backup-simplify]: Simplify (+ 1 0) into 1 9.407 * [backup-simplify]: Simplify (sqrt 1) into 1 9.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.409 * [backup-simplify]: Simplify (+ 0 0) into 0 9.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.410 * [taylor]: Taking taylor expansion of 1 in b 9.410 * [backup-simplify]: Simplify 1 into 1 9.410 * [taylor]: Taking taylor expansion of 0 in b 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.413 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.413 * [taylor]: Taking taylor expansion of 1/2 in b 9.413 * [backup-simplify]: Simplify 1/2 into 1/2 9.413 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.413 * [taylor]: Taking taylor expansion of b in b 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 1 into 1 9.414 * [backup-simplify]: Simplify (* 1 1) into 1 9.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.418 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.418 * [backup-simplify]: Simplify (+ 0 0) into 0 9.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.419 * [taylor]: Taking taylor expansion of 0 in b 9.419 * [backup-simplify]: Simplify 0 into 0 9.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a)))) into a 9.422 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.422 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.422 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.422 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.422 * [taylor]: Taking taylor expansion of a in b 9.422 * [backup-simplify]: Simplify a into a 9.422 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.422 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.422 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.422 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.422 * [taylor]: Taking taylor expansion of b in b 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.423 * [backup-simplify]: Simplify (* 1 1) into 1 9.423 * [backup-simplify]: Simplify (/ 1 1) into 1 9.423 * [backup-simplify]: Simplify (+ 0 1) into 1 9.424 * [backup-simplify]: Simplify (sqrt 1) into 1 9.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.425 * [backup-simplify]: Simplify (+ 0 0) into 0 9.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.426 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.426 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.426 * [taylor]: Taking taylor expansion of a in a 9.426 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify 1 into 1 9.427 * [backup-simplify]: Simplify (* 1 1) into 1 9.427 * [backup-simplify]: Simplify (/ 1 1) into 1 9.427 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.427 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.427 * [taylor]: Taking taylor expansion of b in a 9.427 * [backup-simplify]: Simplify b into b 9.427 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.427 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.428 * [backup-simplify]: Simplify (+ 1 0) into 1 9.428 * [backup-simplify]: Simplify (sqrt 1) into 1 9.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.430 * [backup-simplify]: Simplify (+ 0 0) into 0 9.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.431 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.431 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.431 * [taylor]: Taking taylor expansion of a in a 9.431 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify 1 into 1 9.431 * [backup-simplify]: Simplify (* 1 1) into 1 9.432 * [backup-simplify]: Simplify (/ 1 1) into 1 9.432 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.432 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.432 * [taylor]: Taking taylor expansion of b in a 9.432 * [backup-simplify]: Simplify b into b 9.432 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.432 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.432 * [backup-simplify]: Simplify (+ 1 0) into 1 9.433 * [backup-simplify]: Simplify (sqrt 1) into 1 9.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.434 * [backup-simplify]: Simplify (+ 0 0) into 0 9.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.435 * [taylor]: Taking taylor expansion of 1 in b 9.435 * [backup-simplify]: Simplify 1 into 1 9.435 * [taylor]: Taking taylor expansion of 0 in b 9.435 * [backup-simplify]: Simplify 0 into 0 9.435 * [backup-simplify]: Simplify 1 into 1 9.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.437 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.439 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.439 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.439 * [taylor]: Taking taylor expansion of 1/2 in b 9.439 * [backup-simplify]: Simplify 1/2 into 1/2 9.439 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.439 * [taylor]: Taking taylor expansion of b in b 9.439 * [backup-simplify]: Simplify 0 into 0 9.439 * [backup-simplify]: Simplify 1 into 1 9.439 * [backup-simplify]: Simplify (* 1 1) into 1 9.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.442 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.442 * [backup-simplify]: Simplify (+ 0 0) into 0 9.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.443 * [taylor]: Taking taylor expansion of 0 in b 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a))))) into (* -1 a) 9.444 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 9.444 * [backup-simplify]: Simplify (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) into (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) 9.444 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in (a b) around 0 9.444 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in b 9.444 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 3) in b 9.444 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.444 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.444 * [taylor]: Taking taylor expansion of a in b 9.444 * [backup-simplify]: Simplify a into a 9.444 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.444 * [taylor]: Taking taylor expansion of b in b 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 1 into 1 9.445 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.445 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.445 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 9.445 * [backup-simplify]: Simplify (* (pow a 2) (pow a 4)) into (pow a 6) 9.445 * [backup-simplify]: Simplify (sqrt (pow a 6)) into (pow a 3) 9.445 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.445 * [backup-simplify]: Simplify (+ 0 0) into 0 9.445 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 9.445 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 4))) into 0 9.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 6)))) into 0 9.445 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in a 9.445 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 3) in a 9.445 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.445 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.445 * [taylor]: Taking taylor expansion of a in a 9.445 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify 1 into 1 9.445 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.445 * [taylor]: Taking taylor expansion of b in a 9.445 * [backup-simplify]: Simplify b into b 9.446 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.446 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.446 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 9.446 * [backup-simplify]: Simplify (* (pow b 2) (pow b 4)) into (pow b 6) 9.446 * [backup-simplify]: Simplify (sqrt (pow b 6)) into (pow b 3) 9.446 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.446 * [backup-simplify]: Simplify (+ 0 0) into 0 9.446 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 9.446 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 4))) into 0 9.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 6)))) into 0 9.446 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in a 9.446 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 3) in a 9.446 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.446 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.446 * [taylor]: Taking taylor expansion of a in a 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.446 * [taylor]: Taking taylor expansion of b in a 9.446 * [backup-simplify]: Simplify b into b 9.447 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.447 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.447 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 9.447 * [backup-simplify]: Simplify (* (pow b 2) (pow b 4)) into (pow b 6) 9.447 * [backup-simplify]: Simplify (sqrt (pow b 6)) into (pow b 3) 9.447 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.447 * [backup-simplify]: Simplify (+ 0 0) into 0 9.447 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 9.447 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 4))) into 0 9.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 6)))) into 0 9.447 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.448 * [taylor]: Taking taylor expansion of b in b 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [taylor]: Taking taylor expansion of 0 in b 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify (* 1 1) into 1 9.448 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.448 * [backup-simplify]: Simplify (+ 1 0) into 1 9.449 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 9.449 * [backup-simplify]: Simplify (+ (* (pow b 2) (* 2 (pow b 2))) (+ (* 0 0) (* 1 (pow b 4)))) into (* 3 (pow b 4)) 9.450 * [backup-simplify]: Simplify (/ (- (* 3 (pow b 4)) (pow 0 2) (+)) (* 2 (pow b 3))) into (* 3/2 b) 9.450 * [taylor]: Taking taylor expansion of (* 3/2 b) in b 9.450 * [taylor]: Taking taylor expansion of 3/2 in b 9.450 * [backup-simplify]: Simplify 3/2 into 3/2 9.450 * [taylor]: Taking taylor expansion of b in b 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.450 * [backup-simplify]: Simplify (* 3/2 0) into 0 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.451 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.451 * [backup-simplify]: Simplify (+ 0 0) into 0 9.452 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 9.452 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 (* 2 (pow b 2))) (+ (* 1 0) (* 0 (pow b 4))))) into 0 9.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 3/2 b))))) (* 2 (pow b 3))) into 0 9.452 * [taylor]: Taking taylor expansion of 0 in b 9.452 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify (+ (* 3/2 1) (* 0 0)) into 3/2 9.453 * [backup-simplify]: Simplify 3/2 into 3/2 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify (* 1 1) into 1 9.453 * [backup-simplify]: Simplify (* 1 1) into 1 9.453 * [backup-simplify]: Simplify 1 into 1 9.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.455 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 9.455 * [backup-simplify]: Simplify (+ 0 0) into 0 9.456 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 9.456 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (+ (* 1 (* 2 (pow b 2))) (+ (* 0 0) (* 0 (pow b 4)))))) into (* 3 (pow b 2)) 9.457 * [backup-simplify]: Simplify (/ (- (* 3 (pow b 2)) (pow (* 3/2 b) 2) (+ (* 2 (* 0 0)))) (* 2 (pow b 3))) into (/ 3/8 b) 9.457 * [taylor]: Taking taylor expansion of (/ 3/8 b) in b 9.457 * [taylor]: Taking taylor expansion of 3/8 in b 9.457 * [backup-simplify]: Simplify 3/8 into 3/8 9.457 * [taylor]: Taking taylor expansion of b in b 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 1 into 1 9.457 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 9.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 1) (* 0 0))) into 0 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.461 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 9.461 * [backup-simplify]: Simplify (+ 0 0) into 0 9.465 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 9.467 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (+ (* 0 (* 2 (pow b 2))) (+ (* 0 0) (* 0 (pow b 4))))))) into 0 9.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/8 b))) (* 2 (* (* 3/2 b) 0)))) (* 2 (pow b 3))) into 0 9.467 * [taylor]: Taking taylor expansion of 0 in b 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 3)) (* 3/2 (* b (pow a 2)))) into (+ (pow b 3) (* 3/2 (* (pow a 2) b))) 9.467 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) 9.467 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in (a b) around 0 9.467 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in b 9.467 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in b 9.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.467 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.467 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.467 * [taylor]: Taking taylor expansion of a in b 9.467 * [backup-simplify]: Simplify a into a 9.467 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.467 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.468 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.468 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.468 * [taylor]: Taking taylor expansion of b in b 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify 1 into 1 9.468 * [backup-simplify]: Simplify (* 1 1) into 1 9.468 * [backup-simplify]: Simplify (/ 1 1) into 1 9.468 * [backup-simplify]: Simplify (+ 0 1) into 1 9.469 * [backup-simplify]: Simplify (* 1 1) into 1 9.469 * [backup-simplify]: Simplify (* 1 1) into 1 9.469 * [backup-simplify]: Simplify (sqrt 1) into 1 9.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.470 * [backup-simplify]: Simplify (+ 0 0) into 0 9.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.471 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.471 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.471 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.471 * [taylor]: Taking taylor expansion of a in a 9.471 * [backup-simplify]: Simplify 0 into 0 9.471 * [backup-simplify]: Simplify 1 into 1 9.472 * [backup-simplify]: Simplify (* 1 1) into 1 9.472 * [backup-simplify]: Simplify (/ 1 1) into 1 9.472 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.472 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.472 * [taylor]: Taking taylor expansion of b in a 9.472 * [backup-simplify]: Simplify b into b 9.472 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.472 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.472 * [backup-simplify]: Simplify (+ 1 0) into 1 9.473 * [backup-simplify]: Simplify (* 1 1) into 1 9.473 * [backup-simplify]: Simplify (* 1 1) into 1 9.473 * [backup-simplify]: Simplify (sqrt 1) into 1 9.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.475 * [backup-simplify]: Simplify (+ 0 0) into 0 9.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.477 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.477 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.477 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.477 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.477 * [taylor]: Taking taylor expansion of a in a 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify 1 into 1 9.478 * [backup-simplify]: Simplify (* 1 1) into 1 9.478 * [backup-simplify]: Simplify (/ 1 1) into 1 9.478 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.478 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.478 * [taylor]: Taking taylor expansion of b in a 9.478 * [backup-simplify]: Simplify b into b 9.478 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.478 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.479 * [backup-simplify]: Simplify (+ 1 0) into 1 9.479 * [backup-simplify]: Simplify (* 1 1) into 1 9.479 * [backup-simplify]: Simplify (* 1 1) into 1 9.480 * [backup-simplify]: Simplify (sqrt 1) into 1 9.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.482 * [backup-simplify]: Simplify (+ 0 0) into 0 9.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.484 * [taylor]: Taking taylor expansion of 1 in b 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [taylor]: Taking taylor expansion of 0 in b 9.484 * [backup-simplify]: Simplify 0 into 0 9.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.486 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.487 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.488 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 3 (/ 1 (pow b 2))) 9.489 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow b 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow b 2)) 9.489 * [taylor]: Taking taylor expansion of (/ 3/2 (pow b 2)) in b 9.489 * [taylor]: Taking taylor expansion of 3/2 in b 9.489 * [backup-simplify]: Simplify 3/2 into 3/2 9.489 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.489 * [taylor]: Taking taylor expansion of b in b 9.489 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify 1 into 1 9.489 * [backup-simplify]: Simplify (* 1 1) into 1 9.490 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 9.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.492 * [backup-simplify]: Simplify (+ 0 0) into 0 9.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow b 2)))))) (* 2 1)) into 0 9.495 * [taylor]: Taking taylor expansion of 0 in b 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify 3/2 into 3/2 9.495 * [backup-simplify]: Simplify 1 into 1 9.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.498 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.499 * [backup-simplify]: Simplify (+ 0 0) into 0 9.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.501 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow b 4))) 9.502 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow b 4))) (pow (/ 3/2 (pow b 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow b 4)) 9.502 * [taylor]: Taking taylor expansion of (/ 3/8 (pow b 4)) in b 9.502 * [taylor]: Taking taylor expansion of 3/8 in b 9.502 * [backup-simplify]: Simplify 3/8 into 3/8 9.502 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.502 * [taylor]: Taking taylor expansion of b in b 9.502 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify 1 into 1 9.502 * [backup-simplify]: Simplify (* 1 1) into 1 9.503 * [backup-simplify]: Simplify (* 1 1) into 1 9.503 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 9.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 9.504 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.507 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.507 * [backup-simplify]: Simplify (+ 0 0) into 0 9.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1)))))) into 0 9.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1)))))) into 0 9.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/8 (pow b 4)))) (* 2 (* (/ 3/2 (pow b 2)) 0)))) (* 2 1)) into 0 9.510 * [taylor]: Taking taylor expansion of 0 in b 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.511 * [backup-simplify]: Simplify 0 into 0 9.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.512 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* 3/2 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a))))) into (+ (* 3/2 (* a (pow b 2))) (pow a 3)) 9.513 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) 9.513 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in (a b) around 0 9.513 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in b 9.513 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in b 9.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.513 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.513 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.513 * [taylor]: Taking taylor expansion of a in b 9.513 * [backup-simplify]: Simplify a into a 9.513 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.513 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.513 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.513 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.513 * [taylor]: Taking taylor expansion of b in b 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 1 into 1 9.514 * [backup-simplify]: Simplify (* 1 1) into 1 9.514 * [backup-simplify]: Simplify (/ 1 1) into 1 9.514 * [backup-simplify]: Simplify (+ 0 1) into 1 9.514 * [backup-simplify]: Simplify (* 1 1) into 1 9.515 * [backup-simplify]: Simplify (* 1 1) into 1 9.515 * [backup-simplify]: Simplify (sqrt 1) into 1 9.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.516 * [backup-simplify]: Simplify (+ 0 0) into 0 9.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.517 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.517 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.517 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.517 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.517 * [taylor]: Taking taylor expansion of a in a 9.517 * [backup-simplify]: Simplify 0 into 0 9.517 * [backup-simplify]: Simplify 1 into 1 9.517 * [backup-simplify]: Simplify (* 1 1) into 1 9.518 * [backup-simplify]: Simplify (/ 1 1) into 1 9.518 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.518 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.518 * [taylor]: Taking taylor expansion of b in a 9.518 * [backup-simplify]: Simplify b into b 9.518 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.518 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.518 * [backup-simplify]: Simplify (+ 1 0) into 1 9.518 * [backup-simplify]: Simplify (* 1 1) into 1 9.519 * [backup-simplify]: Simplify (* 1 1) into 1 9.519 * [backup-simplify]: Simplify (sqrt 1) into 1 9.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.520 * [backup-simplify]: Simplify (+ 0 0) into 0 9.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.521 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.521 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.521 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.521 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.521 * [taylor]: Taking taylor expansion of a in a 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify 1 into 1 9.521 * [backup-simplify]: Simplify (* 1 1) into 1 9.522 * [backup-simplify]: Simplify (/ 1 1) into 1 9.522 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.522 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.522 * [taylor]: Taking taylor expansion of b in a 9.522 * [backup-simplify]: Simplify b into b 9.522 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.522 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.522 * [backup-simplify]: Simplify (+ 1 0) into 1 9.522 * [backup-simplify]: Simplify (* 1 1) into 1 9.522 * [backup-simplify]: Simplify (* 1 1) into 1 9.523 * [backup-simplify]: Simplify (sqrt 1) into 1 9.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (+ 0 0) into 0 9.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.525 * [taylor]: Taking taylor expansion of 1 in b 9.525 * [backup-simplify]: Simplify 1 into 1 9.525 * [taylor]: Taking taylor expansion of 0 in b 9.525 * [backup-simplify]: Simplify 0 into 0 9.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.526 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.526 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.527 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 3 (/ 1 (pow b 2))) 9.528 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow b 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow b 2)) 9.528 * [taylor]: Taking taylor expansion of (/ 3/2 (pow b 2)) in b 9.528 * [taylor]: Taking taylor expansion of 3/2 in b 9.528 * [backup-simplify]: Simplify 3/2 into 3/2 9.528 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.528 * [taylor]: Taking taylor expansion of b in b 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify 1 into 1 9.528 * [backup-simplify]: Simplify (* 1 1) into 1 9.528 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 9.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.530 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.530 * [backup-simplify]: Simplify (+ 0 0) into 0 9.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow b 2)))))) (* 2 1)) into 0 9.532 * [taylor]: Taking taylor expansion of 0 in b 9.532 * [backup-simplify]: Simplify 0 into 0 9.532 * [backup-simplify]: Simplify 3/2 into 3/2 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.534 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.534 * [backup-simplify]: Simplify (+ 0 0) into 0 9.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.537 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 4))) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow b 4))) 9.538 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow b 4))) (pow (/ 3/2 (pow b 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow b 4)) 9.538 * [taylor]: Taking taylor expansion of (/ 3/8 (pow b 4)) in b 9.538 * [taylor]: Taking taylor expansion of 3/8 in b 9.538 * [backup-simplify]: Simplify 3/8 into 3/8 9.538 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.538 * [taylor]: Taking taylor expansion of b in b 9.538 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify 1 into 1 9.539 * [backup-simplify]: Simplify (* 1 1) into 1 9.539 * [backup-simplify]: Simplify (* 1 1) into 1 9.540 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 9.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 9.542 * [backup-simplify]: Simplify 0 into 0 9.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.547 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.547 * [backup-simplify]: Simplify (+ 0 0) into 0 9.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1)))))) into 0 9.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 4))) (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* 0 1)))))) into 0 9.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/8 (pow b 4)))) (* 2 (* (/ 3/2 (pow b 2)) 0)))) (* 2 1)) into 0 9.551 * [taylor]: Taking taylor expansion of 0 in b 9.551 * [backup-simplify]: Simplify 0 into 0 9.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.554 * [backup-simplify]: Simplify 0 into 0 9.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.556 * [backup-simplify]: Simplify 0 into 0 9.556 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* 3/2 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a)))))) into (- (+ (* 3/2 (* a (pow b 2))) (pow a 3))) 9.556 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.557 * [backup-simplify]: Simplify (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) into (pow (+ (pow a 2) (pow b 2)) 2) 9.557 * [approximate]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in (a b) around 0 9.557 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 9.557 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.557 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.557 * [taylor]: Taking taylor expansion of a in b 9.557 * [backup-simplify]: Simplify a into a 9.557 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.557 * [taylor]: Taking taylor expansion of b in b 9.557 * [backup-simplify]: Simplify 0 into 0 9.557 * [backup-simplify]: Simplify 1 into 1 9.557 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.557 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.557 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 9.557 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.557 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.557 * [taylor]: Taking taylor expansion of a in a 9.557 * [backup-simplify]: Simplify 0 into 0 9.557 * [backup-simplify]: Simplify 1 into 1 9.557 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.557 * [taylor]: Taking taylor expansion of b in a 9.557 * [backup-simplify]: Simplify b into b 9.557 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.558 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.558 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 9.558 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.558 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.558 * [taylor]: Taking taylor expansion of a in a 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 1 into 1 9.558 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.558 * [taylor]: Taking taylor expansion of b in a 9.558 * [backup-simplify]: Simplify b into b 9.558 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.558 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.558 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 9.558 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.558 * [taylor]: Taking taylor expansion of b in b 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 1 into 1 9.558 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.559 * [backup-simplify]: Simplify (+ 0 0) into 0 9.559 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 9.559 * [taylor]: Taking taylor expansion of 0 in b 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify (* 1 1) into 1 9.560 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.560 * [backup-simplify]: Simplify (+ 1 0) into 1 9.561 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 9.561 * [taylor]: Taking taylor expansion of (* 2 (pow b 2)) in b 9.561 * [taylor]: Taking taylor expansion of 2 in b 9.561 * [backup-simplify]: Simplify 2 into 2 9.561 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.561 * [taylor]: Taking taylor expansion of b in b 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify 1 into 1 9.561 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.562 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.563 * [backup-simplify]: Simplify (+ 0 0) into 0 9.564 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 9.564 * [taylor]: Taking taylor expansion of 0 in b 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.566 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 9.566 * [backup-simplify]: Simplify (+ 0 0) into 0 9.567 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 9.567 * [taylor]: Taking taylor expansion of 1 in b 9.567 * [backup-simplify]: Simplify 1 into 1 9.567 * [backup-simplify]: Simplify 1 into 1 9.567 * [backup-simplify]: Simplify 0 into 0 9.568 * [backup-simplify]: Simplify (* 1 1) into 1 9.568 * [backup-simplify]: Simplify (* 2 1) into 2 9.568 * [backup-simplify]: Simplify 2 into 2 9.568 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (* 1 1) into 1 9.569 * [backup-simplify]: Simplify (* 1 1) into 1 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 9.569 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) into (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) 9.570 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 9.570 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 9.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.570 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.570 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.570 * [taylor]: Taking taylor expansion of a in b 9.570 * [backup-simplify]: Simplify a into a 9.570 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.570 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.570 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.570 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.570 * [taylor]: Taking taylor expansion of b in b 9.570 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify 1 into 1 9.570 * [backup-simplify]: Simplify (* 1 1) into 1 9.570 * [backup-simplify]: Simplify (/ 1 1) into 1 9.571 * [backup-simplify]: Simplify (+ 0 1) into 1 9.571 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 9.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.571 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.571 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.571 * [taylor]: Taking taylor expansion of a in a 9.571 * [backup-simplify]: Simplify 0 into 0 9.571 * [backup-simplify]: Simplify 1 into 1 9.571 * [backup-simplify]: Simplify (* 1 1) into 1 9.571 * [backup-simplify]: Simplify (/ 1 1) into 1 9.571 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.571 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.571 * [taylor]: Taking taylor expansion of b in a 9.571 * [backup-simplify]: Simplify b into b 9.571 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.571 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.572 * [backup-simplify]: Simplify (+ 1 0) into 1 9.572 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 9.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.572 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.572 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.572 * [taylor]: Taking taylor expansion of a in a 9.572 * [backup-simplify]: Simplify 0 into 0 9.572 * [backup-simplify]: Simplify 1 into 1 9.572 * [backup-simplify]: Simplify (* 1 1) into 1 9.572 * [backup-simplify]: Simplify (/ 1 1) into 1 9.572 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.572 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.572 * [taylor]: Taking taylor expansion of b in a 9.572 * [backup-simplify]: Simplify b into b 9.572 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.572 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.573 * [backup-simplify]: Simplify (+ 1 0) into 1 9.573 * [backup-simplify]: Simplify (* 1 1) into 1 9.573 * [taylor]: Taking taylor expansion of 1 in b 9.573 * [backup-simplify]: Simplify 1 into 1 9.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.574 * [backup-simplify]: Simplify (+ 0 0) into 0 9.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.574 * [taylor]: Taking taylor expansion of 0 in b 9.574 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.580 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.580 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 9.580 * [taylor]: Taking taylor expansion of 2 in b 9.580 * [backup-simplify]: Simplify 2 into 2 9.580 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.580 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.580 * [taylor]: Taking taylor expansion of b in b 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.580 * [backup-simplify]: Simplify (* 1 1) into 1 9.581 * [backup-simplify]: Simplify (/ 1 1) into 1 9.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.582 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.582 * [backup-simplify]: Simplify (+ 0 0) into 0 9.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.583 * [taylor]: Taking taylor expansion of 0 in b 9.583 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.584 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.585 * [backup-simplify]: Simplify (+ 0 0) into 0 9.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.586 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 9.586 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.586 * [taylor]: Taking taylor expansion of b in b 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.586 * [backup-simplify]: Simplify (* 1 1) into 1 9.586 * [backup-simplify]: Simplify (* 1 1) into 1 9.587 * [backup-simplify]: Simplify (/ 1 1) into 1 9.587 * [backup-simplify]: Simplify 1 into 1 9.587 * [backup-simplify]: Simplify (* 2 1) into 2 9.587 * [backup-simplify]: Simplify 2 into 2 9.587 * [backup-simplify]: Simplify 1 into 1 9.587 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 9.588 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (* (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) into (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) 9.588 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 9.588 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 9.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.588 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.588 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.588 * [taylor]: Taking taylor expansion of a in b 9.588 * [backup-simplify]: Simplify a into a 9.588 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.588 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.588 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.588 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.588 * [taylor]: Taking taylor expansion of b in b 9.588 * [backup-simplify]: Simplify 0 into 0 9.588 * [backup-simplify]: Simplify 1 into 1 9.588 * [backup-simplify]: Simplify (* 1 1) into 1 9.589 * [backup-simplify]: Simplify (/ 1 1) into 1 9.589 * [backup-simplify]: Simplify (+ 0 1) into 1 9.589 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 9.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.589 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.589 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.589 * [taylor]: Taking taylor expansion of a in a 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify 1 into 1 9.589 * [backup-simplify]: Simplify (* 1 1) into 1 9.590 * [backup-simplify]: Simplify (/ 1 1) into 1 9.590 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.590 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.590 * [taylor]: Taking taylor expansion of b in a 9.590 * [backup-simplify]: Simplify b into b 9.590 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.590 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.590 * [backup-simplify]: Simplify (+ 1 0) into 1 9.590 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 9.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.590 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.590 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.590 * [taylor]: Taking taylor expansion of a in a 9.590 * [backup-simplify]: Simplify 0 into 0 9.590 * [backup-simplify]: Simplify 1 into 1 9.591 * [backup-simplify]: Simplify (* 1 1) into 1 9.591 * [backup-simplify]: Simplify (/ 1 1) into 1 9.591 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.591 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.591 * [taylor]: Taking taylor expansion of b in a 9.591 * [backup-simplify]: Simplify b into b 9.591 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.591 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.591 * [backup-simplify]: Simplify (+ 1 0) into 1 9.592 * [backup-simplify]: Simplify (* 1 1) into 1 9.592 * [taylor]: Taking taylor expansion of 1 in b 9.592 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.593 * [backup-simplify]: Simplify (+ 0 0) into 0 9.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.593 * [taylor]: Taking taylor expansion of 0 in b 9.593 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.594 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.595 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.595 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 9.595 * [taylor]: Taking taylor expansion of 2 in b 9.595 * [backup-simplify]: Simplify 2 into 2 9.595 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.595 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.595 * [taylor]: Taking taylor expansion of b in b 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 1 into 1 9.595 * [backup-simplify]: Simplify (* 1 1) into 1 9.595 * [backup-simplify]: Simplify (/ 1 1) into 1 9.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.596 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.597 * [backup-simplify]: Simplify (+ 0 0) into 0 9.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.597 * [taylor]: Taking taylor expansion of 0 in b 9.597 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.599 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.599 * [backup-simplify]: Simplify (+ 0 0) into 0 9.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.600 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 9.601 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.601 * [taylor]: Taking taylor expansion of b in b 9.601 * [backup-simplify]: Simplify 0 into 0 9.601 * [backup-simplify]: Simplify 1 into 1 9.601 * [backup-simplify]: Simplify (* 1 1) into 1 9.601 * [backup-simplify]: Simplify (* 1 1) into 1 9.601 * [backup-simplify]: Simplify (/ 1 1) into 1 9.601 * [backup-simplify]: Simplify 1 into 1 9.602 * [backup-simplify]: Simplify (* 2 1) into 2 9.602 * [backup-simplify]: Simplify 2 into 2 9.602 * [backup-simplify]: Simplify 1 into 1 9.602 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 9.602 * * * [progress]: simplifying candidates 9.602 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 9.602 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 9.603 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 9.603 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 9.603 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 9.603 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 9.603 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 9.603 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 9.603 * * [simplify]: iters left: 6 (8 enodes) 9.605 * * [simplify]: iters left: 5 (26 enodes) 9.608 * * [simplify]: Extracting #0: cost 1 inf + 0 9.608 * * [simplify]: Extracting #1: cost 4 inf + 0 9.608 * * [simplify]: Extracting #2: cost 7 inf + 0 9.608 * * [simplify]: Extracting #3: cost 10 inf + 0 9.608 * * [simplify]: Extracting #4: cost 14 inf + 0 9.608 * * [simplify]: Extracting #5: cost 10 inf + 84 9.608 * * [simplify]: Extracting #6: cost 8 inf + 166 9.608 * * [simplify]: Extracting #7: cost 4 inf + 854 9.609 * * [simplify]: Extracting #8: cost 1 inf + 1540 9.609 * * [simplify]: Extracting #9: cost 0 inf + 1782 9.609 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 9.609 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (fabs (cbrt (+ (* a a) (* b b)))) (sqrt (cbrt (+ (* a a) (* b b))))) (+ (* a a) (* b b))))) 1)) 9.609 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 9.610 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 9.610 * * [simplify]: iters left: 6 (7 enodes) 9.611 * * [simplify]: iters left: 5 (22 enodes) 9.614 * * [simplify]: Extracting #0: cost 1 inf + 0 9.614 * * [simplify]: Extracting #1: cost 3 inf + 0 9.614 * * [simplify]: Extracting #2: cost 5 inf + 0 9.614 * * [simplify]: Extracting #3: cost 8 inf + 0 9.614 * * [simplify]: Extracting #4: cost 12 inf + 0 9.614 * * [simplify]: Extracting #5: cost 10 inf + 2 9.614 * * [simplify]: Extracting #6: cost 1 inf + 936 9.614 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.615 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 9.615 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (sqrt (+ (* a a) (* b b))))) (+ (* a a) (* b b))))) 1)) 9.615 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 9.615 * [simplify]: Simplifying (sqrt 1) 9.615 * * [simplify]: iters left: 1 (2 enodes) 9.617 * * [simplify]: Extracting #0: cost 1 inf + 0 9.617 * * [simplify]: Extracting #1: cost 0 inf + 1 9.617 * [simplify]: Simplified to 1 9.617 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* 1 (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b))))) 1)) 9.617 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 9.617 * [simplify]: Simplifying (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) 9.617 * * [simplify]: iters left: 6 (9 enodes) 9.620 * * [simplify]: iters left: 5 (45 enodes) 9.640 * * [simplify]: iters left: 4 (100 enodes) 9.672 * * [simplify]: iters left: 3 (201 enodes) 9.730 * * [simplify]: iters left: 2 (406 enodes) 9.901 * * [simplify]: Extracting #0: cost 1 inf + 0 9.901 * * [simplify]: Extracting #1: cost 3 inf + 0 9.901 * * [simplify]: Extracting #2: cost 6 inf + 0 9.901 * * [simplify]: Extracting #3: cost 62 inf + 0 9.902 * * [simplify]: Extracting #4: cost 166 inf + 460 9.905 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.912 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.922 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.931 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.936 * [simplify]: Simplified to (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) 9.936 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (/ (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) (+ (* a a) (* b b))))) 1)) 9.936 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 9.937 * [simplify]: Simplifying (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 9.937 * * [simplify]: iters left: 6 (8 enodes) 9.939 * * [simplify]: iters left: 5 (37 enodes) 9.945 * * [simplify]: iters left: 4 (67 enodes) 9.956 * * [simplify]: iters left: 3 (123 enodes) 9.984 * * [simplify]: iters left: 2 (278 enodes) 10.132 * * [simplify]: Extracting #0: cost 1 inf + 0 10.132 * * [simplify]: Extracting #1: cost 3 inf + 0 10.132 * * [simplify]: Extracting #2: cost 50 inf + 0 10.133 * * [simplify]: Extracting #3: cost 150 inf + 0 10.134 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.136 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.147 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.163 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.178 * [simplify]: Simplified to (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 10.178 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (/ (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (- (* a a) (* b b)))) (+ (* a a) (* b b))))) 1)) 10.178 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 10.179 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.179 * * [simplify]: iters left: 4 (5 enodes) 10.181 * * [simplify]: iters left: 3 (16 enodes) 10.183 * * [simplify]: Extracting #0: cost 1 inf + 0 10.183 * * [simplify]: Extracting #1: cost 4 inf + 0 10.183 * * [simplify]: Extracting #2: cost 8 inf + 0 10.183 * * [simplify]: Extracting #3: cost 4 inf + 84 10.183 * * [simplify]: Extracting #4: cost 0 inf + 410 10.183 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.183 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (pow (+ (* a a) (* b b)) (/ 1 2)) (+ (* a a) (* b b))))) 1)) 10.183 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 10.183 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 10.184 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 10.184 * * [simplify]: iters left: 5 (6 enodes) 10.185 * * [simplify]: iters left: 4 (19 enodes) 10.190 * * [simplify]: Extracting #0: cost 1 inf + 0 10.190 * * [simplify]: Extracting #1: cost 3 inf + 0 10.190 * * [simplify]: Extracting #2: cost 6 inf + 0 10.190 * * [simplify]: Extracting #3: cost 10 inf + 0 10.190 * * [simplify]: Extracting #4: cost 6 inf + 84 10.191 * * [simplify]: Extracting #5: cost 0 inf + 734 10.191 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 10.191 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (fabs (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b))))) 1)) 10.191 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 10.191 * * * * [progress]: [ 16 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a a) (* b b))))) (+ (* a a) (* b b))))) 1))> 10.191 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 10.191 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 10.191 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 10.191 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 10.191 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 10.191 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 10.191 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 10.191 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 10.191 * * [simplify]: iters left: 6 (8 enodes) 10.193 * * [simplify]: iters left: 5 (26 enodes) 10.196 * * [simplify]: Extracting #0: cost 1 inf + 0 10.196 * * [simplify]: Extracting #1: cost 4 inf + 0 10.196 * * [simplify]: Extracting #2: cost 7 inf + 0 10.197 * * [simplify]: Extracting #3: cost 10 inf + 0 10.197 * * [simplify]: Extracting #4: cost 14 inf + 0 10.197 * * [simplify]: Extracting #5: cost 10 inf + 84 10.197 * * [simplify]: Extracting #6: cost 8 inf + 166 10.197 * * [simplify]: Extracting #7: cost 4 inf + 854 10.197 * * [simplify]: Extracting #8: cost 1 inf + 1540 10.197 * * [simplify]: Extracting #9: cost 0 inf + 1782 10.198 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 10.198 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* (fabs (cbrt (+ (* a a) (* b b)))) (sqrt (cbrt (+ (* a a) (* b b))))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 10.198 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 10.198 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 10.198 * * [simplify]: iters left: 6 (7 enodes) 10.200 * * [simplify]: iters left: 5 (22 enodes) 10.202 * * [simplify]: Extracting #0: cost 1 inf + 0 10.202 * * [simplify]: Extracting #1: cost 3 inf + 0 10.202 * * [simplify]: Extracting #2: cost 5 inf + 0 10.202 * * [simplify]: Extracting #3: cost 8 inf + 0 10.202 * * [simplify]: Extracting #4: cost 12 inf + 0 10.203 * * [simplify]: Extracting #5: cost 10 inf + 2 10.203 * * [simplify]: Extracting #6: cost 1 inf + 936 10.203 * * [simplify]: Extracting #7: cost 0 inf + 1138 10.203 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 10.203 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (sqrt (+ (* a a) (* b b))))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 10.203 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 10.203 * [simplify]: Simplifying (sqrt 1) 10.203 * * [simplify]: iters left: 1 (2 enodes) 10.205 * * [simplify]: Extracting #0: cost 1 inf + 0 10.206 * * [simplify]: Extracting #1: cost 0 inf + 1 10.206 * [simplify]: Simplified to 1 10.206 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* 1 (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 10.206 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 10.206 * [simplify]: Simplifying (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) 10.206 * * [simplify]: iters left: 6 (9 enodes) 10.209 * * [simplify]: iters left: 5 (45 enodes) 10.230 * * [simplify]: iters left: 4 (100 enodes) 10.255 * * [simplify]: iters left: 3 (201 enodes) 10.317 * * [simplify]: iters left: 2 (406 enodes) 10.467 * * [simplify]: Extracting #0: cost 1 inf + 0 10.467 * * [simplify]: Extracting #1: cost 3 inf + 0 10.467 * * [simplify]: Extracting #2: cost 6 inf + 0 10.468 * * [simplify]: Extracting #3: cost 62 inf + 0 10.468 * * [simplify]: Extracting #4: cost 166 inf + 460 10.470 * * [simplify]: Extracting #5: cost 131 inf + 12951 10.473 * * [simplify]: Extracting #6: cost 49 inf + 45746 10.482 * * [simplify]: Extracting #7: cost 1 inf + 66256 10.488 * * [simplify]: Extracting #8: cost 0 inf + 65919 10.497 * [simplify]: Simplified to (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) 10.498 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (/ (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 10.498 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 10.498 * [simplify]: Simplifying (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 10.498 * * [simplify]: iters left: 6 (8 enodes) 10.502 * * [simplify]: iters left: 5 (37 enodes) 10.515 * * [simplify]: iters left: 4 (67 enodes) 10.538 * * [simplify]: iters left: 3 (123 enodes) 10.587 * * [simplify]: iters left: 2 (278 enodes) 10.754 * * [simplify]: Extracting #0: cost 1 inf + 0 10.755 * * [simplify]: Extracting #1: cost 3 inf + 0 10.755 * * [simplify]: Extracting #2: cost 50 inf + 0 10.755 * * [simplify]: Extracting #3: cost 150 inf + 0 10.756 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.758 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.765 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.776 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.792 * [simplify]: Simplified to (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 10.792 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (/ (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (- (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 10.792 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 10.793 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.793 * * [simplify]: iters left: 4 (5 enodes) 10.795 * * [simplify]: iters left: 3 (16 enodes) 10.799 * * [simplify]: Extracting #0: cost 1 inf + 0 10.799 * * [simplify]: Extracting #1: cost 4 inf + 0 10.799 * * [simplify]: Extracting #2: cost 8 inf + 0 10.799 * * [simplify]: Extracting #3: cost 4 inf + 84 10.800 * * [simplify]: Extracting #4: cost 0 inf + 410 10.800 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.800 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (pow (+ (* a a) (* b b)) (/ 1 2)) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 10.800 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 10.800 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 10.800 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 10.800 * * [simplify]: iters left: 5 (6 enodes) 10.803 * * [simplify]: iters left: 4 (19 enodes) 10.808 * * [simplify]: Extracting #0: cost 1 inf + 0 10.808 * * [simplify]: Extracting #1: cost 3 inf + 0 10.808 * * [simplify]: Extracting #2: cost 6 inf + 0 10.808 * * [simplify]: Extracting #3: cost 10 inf + 0 10.808 * * [simplify]: Extracting #4: cost 6 inf + 84 10.809 * * [simplify]: Extracting #5: cost 0 inf + 734 10.809 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 10.809 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (fabs (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 10.809 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 10.809 * * * * [progress]: [ 32 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a a) (* b b))))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1))> 10.809 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 10.810 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.810 * * [simplify]: iters left: 4 (5 enodes) 10.812 * * [simplify]: iters left: 3 (16 enodes) 10.816 * * [simplify]: Extracting #0: cost 1 inf + 0 10.816 * * [simplify]: Extracting #1: cost 4 inf + 0 10.816 * * [simplify]: Extracting #2: cost 8 inf + 0 10.817 * * [simplify]: Extracting #3: cost 4 inf + 84 10.817 * * [simplify]: Extracting #4: cost 0 inf + 410 10.817 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.817 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (pow (+ (* a a) (* b b)) (+ 1/2 1)))) 1)) 10.817 * [simplify]: Simplifying (+ 1/2 1) 10.817 * * [simplify]: iters left: 2 (3 enodes) 10.821 * * [simplify]: iters left: 1 (13 enodes) 10.825 * * [simplify]: Extracting #0: cost 1 inf + 0 10.825 * * [simplify]: Extracting #1: cost 0 inf + 1 10.825 * [simplify]: Simplified to 3/2 10.825 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (pow (+ (* a a) (* b b)) 3/2))) 1)) 10.825 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 10.826 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.826 * * [simplify]: iters left: 4 (5 enodes) 10.828 * * [simplify]: iters left: 3 (16 enodes) 10.832 * * [simplify]: Extracting #0: cost 1 inf + 0 10.832 * * [simplify]: Extracting #1: cost 4 inf + 0 10.832 * * [simplify]: Extracting #2: cost 8 inf + 0 10.832 * * [simplify]: Extracting #3: cost 4 inf + 84 10.833 * * [simplify]: Extracting #4: cost 0 inf + 410 10.833 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.833 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (pow (+ (* a a) (* b b)) (+ (/ 1 2) 1)))) 1)) 10.833 * [simplify]: Simplifying (+ (/ 1 2) 1) 10.833 * * [simplify]: iters left: 4 (4 enodes) 10.838 * * [simplify]: iters left: 3 (17 enodes) 10.848 * * [simplify]: iters left: 2 (19 enodes) 10.853 * * [simplify]: Extracting #0: cost 1 inf + 0 10.853 * * [simplify]: Extracting #1: cost 0 inf + 1 10.853 * [simplify]: Simplified to 3/2 10.854 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (pow (+ (* a a) (* b b)) 3/2))) 1)) 10.854 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 10.854 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) 10.854 * * [simplify]: iters left: 6 (7 enodes) 10.858 * * [simplify]: iters left: 5 (29 enodes) 10.867 * * [simplify]: iters left: 4 (47 enodes) 10.879 * * [simplify]: iters left: 3 (55 enodes) 10.891 * * [simplify]: Extracting #0: cost 1 inf + 0 10.891 * * [simplify]: Extracting #1: cost 6 inf + 0 10.891 * * [simplify]: Extracting #2: cost 16 inf + 0 10.891 * * [simplify]: Extracting #3: cost 17 inf + 43 10.891 * * [simplify]: Extracting #4: cost 14 inf + 166 10.892 * * [simplify]: Extracting #5: cost 10 inf + 854 10.893 * * [simplify]: Extracting #6: cost 1 inf + 2552 10.894 * * [simplify]: Extracting #7: cost 0 inf + 2754 10.895 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) 10.895 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (pow (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) 1))) 1)) 10.896 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 10.896 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.896 * * [simplify]: iters left: 4 (5 enodes) 10.898 * * [simplify]: iters left: 3 (16 enodes) 10.902 * * [simplify]: Extracting #0: cost 1 inf + 0 10.903 * * [simplify]: Extracting #1: cost 4 inf + 0 10.903 * * [simplify]: Extracting #2: cost 8 inf + 0 10.903 * * [simplify]: Extracting #3: cost 4 inf + 84 10.903 * * [simplify]: Extracting #4: cost 0 inf + 410 10.903 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.903 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (pow (+ (* a a) (* b b)) (+ 1/2 1)))) 1)) 10.903 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 10.904 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.904 * * [simplify]: iters left: 4 (5 enodes) 10.906 * * [simplify]: iters left: 3 (16 enodes) 10.910 * * [simplify]: Extracting #0: cost 1 inf + 0 10.910 * * [simplify]: Extracting #1: cost 4 inf + 0 10.910 * * [simplify]: Extracting #2: cost 8 inf + 0 10.910 * * [simplify]: Extracting #3: cost 4 inf + 84 10.911 * * [simplify]: Extracting #4: cost 0 inf + 410 10.911 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.911 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (pow (+ (* a a) (* b b)) (+ (/ 1 2) 1)))) 1)) 10.911 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 10.911 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 10.911 * [simplify]: Simplifying (+ (log (sqrt (+ (* a a) (* b b)))) (log (+ (* a a) (* b b)))) 10.911 * * [simplify]: iters left: 6 (9 enodes) 10.915 * * [simplify]: iters left: 5 (29 enodes) 10.923 * * [simplify]: Extracting #0: cost 1 inf + 0 10.923 * * [simplify]: Extracting #1: cost 4 inf + 0 10.923 * * [simplify]: Extracting #2: cost 8 inf + 0 10.923 * * [simplify]: Extracting #3: cost 12 inf + 0 10.923 * * [simplify]: Extracting #4: cost 16 inf + 0 10.924 * * [simplify]: Extracting #5: cost 12 inf + 84 10.924 * * [simplify]: Extracting #6: cost 10 inf + 166 10.924 * * [simplify]: Extracting #7: cost 6 inf + 764 10.924 * * [simplify]: Extracting #8: cost 2 inf + 1692 10.925 * * [simplify]: Extracting #9: cost 0 inf + 2266 10.926 * [simplify]: Simplified to (+ (log (+ (* a a) (* b b))) (log (sqrt (+ (* a a) (* b b))))) 10.926 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (exp (+ (log (+ (* a a) (* b b))) (log (sqrt (+ (* a a) (* b b)))))))) 1)) 10.926 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 10.926 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 10.926 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.926 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.927 * [simplify]: Simplifying (* (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 10.927 * * [simplify]: iters left: 6 (11 enodes) 10.933 * * [simplify]: iters left: 5 (54 enodes) 10.964 * * [simplify]: iters left: 4 (235 enodes) 11.174 * * [simplify]: Extracting #0: cost 1 inf + 0 11.175 * * [simplify]: Extracting #1: cost 16 inf + 0 11.175 * * [simplify]: Extracting #2: cost 139 inf + 1 11.176 * * [simplify]: Extracting #3: cost 286 inf + 1230 11.185 * * [simplify]: Extracting #4: cost 160 inf + 29204 11.208 * * [simplify]: Extracting #5: cost 9 inf + 69186 11.243 * * [simplify]: Extracting #6: cost 0 inf + 71404 11.281 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b))))) 11.281 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))))))) 1)) 11.281 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 11.281 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 11.281 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 11.281 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 11.282 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (pow (* a a) 3) (pow (* b b) 3))) 11.282 * * [simplify]: iters left: 6 (10 enodes) 11.288 * * [simplify]: iters left: 5 (55 enodes) 11.304 * * [simplify]: iters left: 4 (152 enodes) 11.356 * * [simplify]: iters left: 3 (384 enodes) 11.514 * * [simplify]: Extracting #0: cost 1 inf + 0 11.514 * * [simplify]: Extracting #1: cost 6 inf + 0 11.514 * * [simplify]: Extracting #2: cost 69 inf + 0 11.515 * * [simplify]: Extracting #3: cost 193 inf + 165 11.517 * * [simplify]: Extracting #4: cost 138 inf + 14657 11.530 * * [simplify]: Extracting #5: cost 14 inf + 80235 11.551 * * [simplify]: Extracting #6: cost 0 inf + 81921 11.580 * * [simplify]: Extracting #7: cost 0 inf + 81044 11.596 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b (* b b)) (* b (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b (* b b)) (* b (* b b)))))) 11.596 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b (* b b)) (* b (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b (* b b)) (* b (* b b)))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 11.597 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 11.597 * * [simplify]: iters left: 6 (11 enodes) 11.600 * * [simplify]: iters left: 5 (62 enodes) 11.611 * * [simplify]: iters left: 4 (159 enodes) 11.648 * * [simplify]: iters left: 3 (390 enodes) 11.796 * * [simplify]: Extracting #0: cost 1 inf + 0 11.796 * * [simplify]: Extracting #1: cost 11 inf + 0 11.796 * * [simplify]: Extracting #2: cost 125 inf + 0 11.797 * * [simplify]: Extracting #3: cost 202 inf + 1541 11.804 * * [simplify]: Extracting #4: cost 98 inf + 27657 11.829 * * [simplify]: Extracting #5: cost 4 inf + 60577 11.864 * * [simplify]: Extracting #6: cost 0 inf + 62508 11.900 * [simplify]: Simplified to (* (sqrt (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) 11.901 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b (* b b)) (* b (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b (* b b)) (* b (* b b)))))) (* (sqrt (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a))))))) 1)) 11.901 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.901 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 11.902 * * [simplify]: iters left: 6 (13 enodes) 11.907 * * [simplify]: iters left: 5 (69 enodes) 11.923 * * [simplify]: iters left: 4 (138 enodes) 11.968 * * [simplify]: iters left: 3 (321 enodes) 12.073 * * [simplify]: Extracting #0: cost 1 inf + 0 12.073 * * [simplify]: Extracting #1: cost 40 inf + 0 12.074 * * [simplify]: Extracting #2: cost 130 inf + 0 12.075 * * [simplify]: Extracting #3: cost 175 inf + 368 12.078 * * [simplify]: Extracting #4: cost 132 inf + 9363 12.097 * * [simplify]: Extracting #5: cost 51 inf + 45819 12.125 * * [simplify]: Extracting #6: cost 13 inf + 59985 12.143 * * [simplify]: Extracting #7: cost 4 inf + 63720 12.159 * * [simplify]: Extracting #8: cost 1 inf + 64476 12.178 * * [simplify]: Extracting #9: cost 0 inf + 64728 12.193 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) 12.193 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b)))))) 1)) 12.193 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b))) 12.193 * * [simplify]: iters left: 6 (12 enodes) 12.196 * * [simplify]: iters left: 5 (64 enodes) 12.215 * * [simplify]: iters left: 4 (151 enodes) 12.277 * * [simplify]: iters left: 3 (312 enodes) 12.404 * * [simplify]: Extracting #0: cost 1 inf + 0 12.404 * * [simplify]: Extracting #1: cost 25 inf + 0 12.404 * * [simplify]: Extracting #2: cost 57 inf + 0 12.405 * * [simplify]: Extracting #3: cost 76 inf + 206 12.405 * * [simplify]: Extracting #4: cost 103 inf + 2603 12.410 * * [simplify]: Extracting #5: cost 43 inf + 20280 12.417 * * [simplify]: Extracting #6: cost 11 inf + 26580 12.428 * * [simplify]: Extracting #7: cost 1 inf + 28609 12.443 * * [simplify]: Extracting #8: cost 0 inf + 28861 12.453 * [simplify]: Simplified to (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) 12.453 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b)))))) 1)) 12.453 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 12.454 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (pow (* a a) 3) (pow (* b b) 3))) 12.454 * * [simplify]: iters left: 6 (13 enodes) 12.458 * * [simplify]: iters left: 5 (75 enodes) 12.480 * * [simplify]: iters left: 4 (176 enodes) 12.521 * * [simplify]: iters left: 3 (437 enodes) 12.746 * * [simplify]: Extracting #0: cost 1 inf + 0 12.747 * * [simplify]: Extracting #1: cost 6 inf + 0 12.747 * * [simplify]: Extracting #2: cost 62 inf + 0 12.748 * * [simplify]: Extracting #3: cost 186 inf + 246 12.750 * * [simplify]: Extracting #4: cost 185 inf + 8313 12.759 * * [simplify]: Extracting #5: cost 42 inf + 58758 12.773 * * [simplify]: Extracting #6: cost 0 inf + 75768 12.794 * [simplify]: Simplified to (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 12.794 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 12.795 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 12.795 * * [simplify]: iters left: 6 (12 enodes) 12.801 * * [simplify]: iters left: 5 (70 enodes) 12.815 * * [simplify]: iters left: 4 (175 enodes) 12.875 * * [simplify]: iters left: 3 (405 enodes) 13.030 * * [simplify]: Extracting #0: cost 1 inf + 0 13.031 * * [simplify]: Extracting #1: cost 11 inf + 0 13.031 * * [simplify]: Extracting #2: cost 115 inf + 0 13.033 * * [simplify]: Extracting #3: cost 186 inf + 2554 13.045 * * [simplify]: Extracting #4: cost 74 inf + 26948 13.056 * * [simplify]: Extracting #5: cost 2 inf + 42336 13.069 * * [simplify]: Extracting #6: cost 0 inf + 42660 13.079 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))) 13.079 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))))))) 1)) 13.079 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 13.080 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 13.080 * * [simplify]: iters left: 6 (9 enodes) 13.084 * * [simplify]: iters left: 5 (41 enodes) 13.098 * * [simplify]: iters left: 4 (81 enodes) 13.129 * * [simplify]: iters left: 3 (201 enodes) 13.241 * * [simplify]: Extracting #0: cost 1 inf + 0 13.241 * * [simplify]: Extracting #1: cost 40 inf + 0 13.242 * * [simplify]: Extracting #2: cost 127 inf + 0 13.243 * * [simplify]: Extracting #3: cost 170 inf + 1376 13.253 * * [simplify]: Extracting #4: cost 63 inf + 24336 13.273 * * [simplify]: Extracting #5: cost 5 inf + 41812 13.293 * * [simplify]: Extracting #6: cost 0 inf + 43594 13.314 * [simplify]: Simplified to (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 13.314 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)))))) 1)) 13.315 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b))) 13.315 * * [simplify]: iters left: 6 (7 enodes) 13.318 * * [simplify]: iters left: 5 (27 enodes) 13.326 * * [simplify]: iters left: 4 (50 enodes) 13.348 * * [simplify]: iters left: 3 (112 enodes) 13.396 * * [simplify]: iters left: 2 (282 enodes) 13.512 * * [simplify]: Extracting #0: cost 1 inf + 0 13.513 * * [simplify]: Extracting #1: cost 50 inf + 0 13.513 * * [simplify]: Extracting #2: cost 128 inf + 0 13.514 * * [simplify]: Extracting #3: cost 126 inf + 2754 13.518 * * [simplify]: Extracting #4: cost 40 inf + 20840 13.525 * * [simplify]: Extracting #5: cost 0 inf + 30600 13.532 * [simplify]: Simplified to (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))) 13.532 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b))))))) 1)) 13.532 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 13.532 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 13.533 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 13.533 * * [simplify]: iters left: 6 (8 enodes) 13.534 * * [simplify]: iters left: 5 (26 enodes) 13.538 * * [simplify]: Extracting #0: cost 1 inf + 0 13.538 * * [simplify]: Extracting #1: cost 4 inf + 0 13.538 * * [simplify]: Extracting #2: cost 7 inf + 0 13.538 * * [simplify]: Extracting #3: cost 10 inf + 0 13.538 * * [simplify]: Extracting #4: cost 14 inf + 0 13.538 * * [simplify]: Extracting #5: cost 11 inf + 43 13.538 * * [simplify]: Extracting #6: cost 9 inf + 125 13.538 * * [simplify]: Extracting #7: cost 5 inf + 572 13.538 * * [simplify]: Extracting #8: cost 1 inf + 1380 13.539 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.539 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 13.539 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))))) 1)) 13.539 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 13.539 * * [simplify]: iters left: 6 (8 enodes) 13.542 * * [simplify]: iters left: 5 (26 enodes) 13.546 * * [simplify]: Extracting #0: cost 1 inf + 0 13.546 * * [simplify]: Extracting #1: cost 4 inf + 0 13.546 * * [simplify]: Extracting #2: cost 7 inf + 0 13.546 * * [simplify]: Extracting #3: cost 10 inf + 0 13.546 * * [simplify]: Extracting #4: cost 14 inf + 0 13.546 * * [simplify]: Extracting #5: cost 11 inf + 43 13.546 * * [simplify]: Extracting #6: cost 9 inf + 125 13.546 * * [simplify]: Extracting #7: cost 5 inf + 572 13.546 * * [simplify]: Extracting #8: cost 1 inf + 1380 13.547 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.547 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 13.547 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b)))))))) 1)) 13.547 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 13.547 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 13.547 * * [simplify]: iters left: 6 (8 enodes) 13.550 * * [simplify]: iters left: 5 (26 enodes) 13.557 * * [simplify]: Extracting #0: cost 1 inf + 0 13.557 * * [simplify]: Extracting #1: cost 4 inf + 0 13.557 * * [simplify]: Extracting #2: cost 7 inf + 0 13.557 * * [simplify]: Extracting #3: cost 10 inf + 0 13.557 * * [simplify]: Extracting #4: cost 14 inf + 0 13.557 * * [simplify]: Extracting #5: cost 11 inf + 43 13.557 * * [simplify]: Extracting #6: cost 9 inf + 125 13.557 * * [simplify]: Extracting #7: cost 5 inf + 572 13.558 * * [simplify]: Extracting #8: cost 1 inf + 1380 13.558 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.559 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 13.559 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))))) 1)) 13.559 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 13.560 * * [simplify]: iters left: 6 (8 enodes) 13.563 * * [simplify]: iters left: 5 (26 enodes) 13.570 * * [simplify]: Extracting #0: cost 1 inf + 0 13.570 * * [simplify]: Extracting #1: cost 4 inf + 0 13.570 * * [simplify]: Extracting #2: cost 7 inf + 0 13.570 * * [simplify]: Extracting #3: cost 10 inf + 0 13.570 * * [simplify]: Extracting #4: cost 14 inf + 0 13.570 * * [simplify]: Extracting #5: cost 11 inf + 43 13.570 * * [simplify]: Extracting #6: cost 9 inf + 125 13.571 * * [simplify]: Extracting #7: cost 5 inf + 572 13.571 * * [simplify]: Extracting #8: cost 1 inf + 1380 13.572 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.572 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 13.572 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b)))))))) 1)) 13.572 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 13.573 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* b b)) 13.573 * * [simplify]: iters left: 6 (7 enodes) 13.576 * * [simplify]: iters left: 5 (25 enodes) 13.580 * * [simplify]: iters left: 4 (29 enodes) 13.583 * * [simplify]: Extracting #0: cost 1 inf + 0 13.583 * * [simplify]: Extracting #1: cost 6 inf + 0 13.583 * * [simplify]: Extracting #2: cost 8 inf + 42 13.583 * * [simplify]: Extracting #3: cost 9 inf + 83 13.583 * * [simplify]: Extracting #4: cost 11 inf + 83 13.584 * * [simplify]: Extracting #5: cost 10 inf + 84 13.584 * * [simplify]: Extracting #6: cost 8 inf + 166 13.584 * * [simplify]: Extracting #7: cost 4 inf + 774 13.584 * * [simplify]: Extracting #8: cost 1 inf + 1340 13.584 * * [simplify]: Extracting #9: cost 0 inf + 1542 13.585 * [simplify]: Simplified to (* (* b b) (sqrt (+ (* a a) (* b b)))) 13.585 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (+ (* (sqrt (+ (* a a) (* b b))) (* a a)) (* (* b b) (sqrt (+ (* a a) (* b b))))))) 1)) 13.585 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 13.585 * [simplify]: Simplifying (* (* b b) (sqrt (+ (* a a) (* b b)))) 13.585 * * [simplify]: iters left: 6 (7 enodes) 13.587 * * [simplify]: iters left: 5 (25 enodes) 13.590 * * [simplify]: iters left: 4 (29 enodes) 13.594 * * [simplify]: iters left: 3 (30 enodes) 13.598 * * [simplify]: Extracting #0: cost 1 inf + 0 13.598 * * [simplify]: Extracting #1: cost 6 inf + 0 13.598 * * [simplify]: Extracting #2: cost 9 inf + 1 13.598 * * [simplify]: Extracting #3: cost 9 inf + 83 13.598 * * [simplify]: Extracting #4: cost 11 inf + 83 13.598 * * [simplify]: Extracting #5: cost 8 inf + 166 13.598 * * [simplify]: Extracting #6: cost 4 inf + 774 13.598 * * [simplify]: Extracting #7: cost 1 inf + 1340 13.599 * * [simplify]: Extracting #8: cost 0 inf + 1542 13.599 * [simplify]: Simplified to (* (sqrt (+ (* b b) (* a a))) (* b b)) 13.599 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (+ (* (* a a) (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* b b) (* a a))) (* b b))))) 1)) 13.599 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 13.599 * [simplify]: Simplifying (cbrt (+ (* a a) (* b b))) 13.599 * * [simplify]: iters left: 5 (6 enodes) 13.601 * * [simplify]: iters left: 4 (19 enodes) 13.603 * * [simplify]: Extracting #0: cost 1 inf + 0 13.603 * * [simplify]: Extracting #1: cost 3 inf + 0 13.603 * * [simplify]: Extracting #2: cost 6 inf + 0 13.603 * * [simplify]: Extracting #3: cost 10 inf + 0 13.604 * * [simplify]: Extracting #4: cost 6 inf + 84 13.604 * * [simplify]: Extracting #5: cost 0 inf + 814 13.604 * [simplify]: Simplified to (cbrt (+ (* a a) (* b b))) 13.604 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (+ (* a a) (* b b))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) (cbrt (+ (* a a) (* b b)))))) 1)) 13.604 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 13.604 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 13.604 * * [simplify]: iters left: 5 (6 enodes) 13.606 * * [simplify]: iters left: 4 (19 enodes) 13.608 * * [simplify]: Extracting #0: cost 1 inf + 0 13.608 * * [simplify]: Extracting #1: cost 3 inf + 0 13.608 * * [simplify]: Extracting #2: cost 6 inf + 0 13.608 * * [simplify]: Extracting #3: cost 10 inf + 0 13.608 * * [simplify]: Extracting #4: cost 6 inf + 84 13.609 * * [simplify]: Extracting #5: cost 0 inf + 734 13.609 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 13.609 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))))) 1)) 13.609 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 13.609 * [simplify]: Simplifying (+ (* a a) (* b b)) 13.610 * * [simplify]: iters left: 4 (5 enodes) 13.612 * * [simplify]: iters left: 3 (16 enodes) 13.617 * * [simplify]: Extracting #0: cost 1 inf + 0 13.617 * * [simplify]: Extracting #1: cost 4 inf + 0 13.617 * * [simplify]: Extracting #2: cost 8 inf + 0 13.617 * * [simplify]: Extracting #3: cost 4 inf + 84 13.617 * * [simplify]: Extracting #4: cost 0 inf + 410 13.617 * [simplify]: Simplified to (+ (* a a) (* b b)) 13.617 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (sqrt (+ (* a a) (* b b))) 1) (+ (* a a) (* b b))))) 1)) 13.618 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 13.618 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 13.618 * * [simplify]: iters left: 6 (8 enodes) 13.622 * * [simplify]: iters left: 5 (25 enodes) 13.629 * * [simplify]: Extracting #0: cost 1 inf + 0 13.629 * * [simplify]: Extracting #1: cost 3 inf + 0 13.629 * * [simplify]: Extracting #2: cost 5 inf + 0 13.629 * * [simplify]: Extracting #3: cost 7 inf + 0 13.629 * * [simplify]: Extracting #4: cost 10 inf + 0 13.629 * * [simplify]: Extracting #5: cost 14 inf + 0 13.629 * * [simplify]: Extracting #6: cost 11 inf + 43 13.629 * * [simplify]: Extracting #7: cost 9 inf + 125 13.629 * * [simplify]: Extracting #8: cost 5 inf + 572 13.630 * * [simplify]: Extracting #9: cost 1 inf + 1500 13.630 * * [simplify]: Extracting #10: cost 0 inf + 1782 13.631 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 13.631 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) (* (cbrt (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b)))))) 1)) 13.631 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 13.632 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 13.632 * * [simplify]: iters left: 6 (8 enodes) 13.635 * * [simplify]: iters left: 5 (26 enodes) 13.642 * * [simplify]: Extracting #0: cost 1 inf + 0 13.642 * * [simplify]: Extracting #1: cost 4 inf + 0 13.642 * * [simplify]: Extracting #2: cost 7 inf + 0 13.642 * * [simplify]: Extracting #3: cost 10 inf + 0 13.642 * * [simplify]: Extracting #4: cost 14 inf + 0 13.642 * * [simplify]: Extracting #5: cost 10 inf + 84 13.643 * * [simplify]: Extracting #6: cost 8 inf + 166 13.643 * * [simplify]: Extracting #7: cost 4 inf + 854 13.643 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.644 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.644 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 13.644 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (fabs (cbrt (+ (* a a) (* b b)))) (* (sqrt (cbrt (+ (* a a) (* b b)))) (+ (* a a) (* b b)))))) 1)) 13.645 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 13.645 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 13.645 * * [simplify]: iters left: 6 (7 enodes) 13.648 * * [simplify]: iters left: 5 (22 enodes) 13.655 * * [simplify]: Extracting #0: cost 1 inf + 0 13.655 * * [simplify]: Extracting #1: cost 3 inf + 0 13.655 * * [simplify]: Extracting #2: cost 5 inf + 0 13.656 * * [simplify]: Extracting #3: cost 8 inf + 0 13.656 * * [simplify]: Extracting #4: cost 12 inf + 0 13.656 * * [simplify]: Extracting #5: cost 10 inf + 2 13.656 * * [simplify]: Extracting #6: cost 1 inf + 936 13.656 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.657 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 13.657 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b)))))) 1)) 13.657 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 13.657 * [simplify]: Simplifying (sqrt 1) 13.658 * * [simplify]: iters left: 1 (2 enodes) 13.661 * * [simplify]: Extracting #0: cost 1 inf + 0 13.661 * * [simplify]: Extracting #1: cost 0 inf + 1 13.661 * [simplify]: Simplified to 1 13.661 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* 1 (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))))) 1)) 13.661 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 13.662 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 13.662 * * [simplify]: iters left: 6 (7 enodes) 13.665 * * [simplify]: iters left: 5 (22 enodes) 13.671 * * [simplify]: Extracting #0: cost 1 inf + 0 13.671 * * [simplify]: Extracting #1: cost 3 inf + 0 13.671 * * [simplify]: Extracting #2: cost 5 inf + 0 13.671 * * [simplify]: Extracting #3: cost 8 inf + 0 13.671 * * [simplify]: Extracting #4: cost 12 inf + 0 13.671 * * [simplify]: Extracting #5: cost 10 inf + 2 13.672 * * [simplify]: Extracting #6: cost 1 inf + 936 13.672 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.673 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 13.673 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b)))))) 1)) 13.673 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 13.673 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 13.673 * [simplify]: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) 13.673 * * [simplify]: iters left: 6 (9 enodes) 13.678 * * [simplify]: iters left: 5 (49 enodes) 13.688 * * [simplify]: iters left: 4 (116 enodes) 13.713 * * [simplify]: iters left: 3 (231 enodes) 13.760 * * [simplify]: iters left: 2 (363 enodes) 13.887 * * [simplify]: Extracting #0: cost 1 inf + 0 13.887 * * [simplify]: Extracting #1: cost 20 inf + 0 13.888 * * [simplify]: Extracting #2: cost 146 inf + 0 13.889 * * [simplify]: Extracting #3: cost 200 inf + 1989 13.893 * * [simplify]: Extracting #4: cost 63 inf + 22827 13.904 * * [simplify]: Extracting #5: cost 0 inf + 34174 13.918 * * [simplify]: Extracting #6: cost 0 inf + 34134 13.931 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 13.932 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (sqrt (+ (* a a) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b)))))) 1)) 13.932 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 13.932 * [simplify]: Simplifying (- (* a a) (* b b)) 13.932 * * [simplify]: iters left: 4 (5 enodes) 13.935 * * [simplify]: iters left: 3 (20 enodes) 13.941 * * [simplify]: iters left: 2 (33 enodes) 13.950 * * [simplify]: iters left: 1 (50 enodes) 13.966 * * [simplify]: Extracting #0: cost 1 inf + 0 13.966 * * [simplify]: Extracting #1: cost 11 inf + 0 13.967 * * [simplify]: Extracting #2: cost 29 inf + 0 13.967 * * [simplify]: Extracting #3: cost 19 inf + 455 13.968 * * [simplify]: Extracting #4: cost 0 inf + 2130 13.969 * * [simplify]: Extracting #5: cost 0 inf + 1970 13.970 * [simplify]: Simplified to (* (+ a b) (- a b)) 13.970 * [simplify]: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ a b) (- a b))))) 1)) 13.970 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 13.971 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b))) 13.971 * * [simplify]: iters left: 6 (11 enodes) 13.978 * * [simplify]: iters left: 5 (59 enodes) 13.999 * * [simplify]: iters left: 4 (132 enodes) 14.028 * * [simplify]: iters left: 3 (234 enodes) 14.087 * * [simplify]: iters left: 2 (414 enodes) 14.271 * * [simplify]: Extracting #0: cost 1 inf + 0 14.271 * * [simplify]: Extracting #1: cost 6 inf + 0 14.271 * * [simplify]: Extracting #2: cost 17 inf + 0 14.272 * * [simplify]: Extracting #3: cost 21 inf + 43 14.272 * * [simplify]: Extracting #4: cost 66 inf + 288 14.274 * * [simplify]: Extracting #5: cost 149 inf + 3095 14.277 * * [simplify]: Extracting #6: cost 132 inf + 11865 14.284 * * [simplify]: Extracting #7: cost 76 inf + 27949 14.290 * * [simplify]: Extracting #8: cost 7 inf + 59546 14.296 * * [simplify]: Extracting #9: cost 0 inf + 62536 14.302 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (sqrt (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))))) 14.302 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (+ (* a a) (* b b)) (sqrt (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 14.303 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 14.303 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b))) 14.303 * * [simplify]: iters left: 6 (10 enodes) 14.306 * * [simplify]: iters left: 5 (50 enodes) 14.314 * * [simplify]: iters left: 4 (95 enodes) 14.342 * * [simplify]: iters left: 3 (159 enodes) 14.403 * * [simplify]: iters left: 2 (314 enodes) 14.582 * * [simplify]: Extracting #0: cost 1 inf + 0 14.582 * * [simplify]: Extracting #1: cost 6 inf + 0 14.583 * * [simplify]: Extracting #2: cost 17 inf + 0 14.583 * * [simplify]: Extracting #3: cost 65 inf + 2 14.583 * * [simplify]: Extracting #4: cost 154 inf + 290 14.585 * * [simplify]: Extracting #5: cost 143 inf + 10013 14.595 * * [simplify]: Extracting #6: cost 32 inf + 31002 14.603 * * [simplify]: Extracting #7: cost 6 inf + 37496 14.618 * * [simplify]: Extracting #8: cost 0 inf + 38808 14.634 * [simplify]: Simplified to (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b))) 14.635 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (/ (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b))) (sqrt (- (* a a) (* b b)))))) 1)) 14.635 * * * * [progress]: [ 69 / 143 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) 1))> 14.635 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 14.635 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 14.635 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.635 * * [simplify]: iters left: 4 (5 enodes) 14.638 * * [simplify]: iters left: 3 (16 enodes) 14.642 * * [simplify]: Extracting #0: cost 1 inf + 0 14.642 * * [simplify]: Extracting #1: cost 4 inf + 0 14.642 * * [simplify]: Extracting #2: cost 8 inf + 0 14.642 * * [simplify]: Extracting #3: cost 4 inf + 84 14.642 * * [simplify]: Extracting #4: cost 0 inf + 410 14.643 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.643 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ 1/2 1)))) 1)) 14.643 * [simplify]: Simplifying (+ 1/2 (+ 1/2 1)) 14.643 * * [simplify]: iters left: 4 (4 enodes) 14.649 * * [simplify]: iters left: 3 (20 enodes) 14.654 * * [simplify]: iters left: 2 (22 enodes) 14.660 * * [simplify]: Extracting #0: cost 1 inf + 0 14.660 * * [simplify]: Extracting #1: cost 0 inf + 1 14.660 * [simplify]: Simplified to 2 14.660 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.660 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 14.660 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.660 * * [simplify]: iters left: 4 (5 enodes) 14.663 * * [simplify]: iters left: 3 (16 enodes) 14.667 * * [simplify]: Extracting #0: cost 1 inf + 0 14.667 * * [simplify]: Extracting #1: cost 4 inf + 0 14.667 * * [simplify]: Extracting #2: cost 8 inf + 0 14.667 * * [simplify]: Extracting #3: cost 4 inf + 84 14.667 * * [simplify]: Extracting #4: cost 0 inf + 410 14.667 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.667 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ (/ 1 2) 1)))) 1)) 14.668 * [simplify]: Simplifying (+ 1/2 (+ (/ 1 2) 1)) 14.668 * * [simplify]: iters left: 6 (6 enodes) 14.673 * * [simplify]: iters left: 5 (24 enodes) 14.685 * * [simplify]: iters left: 4 (38 enodes) 14.692 * * [simplify]: Extracting #0: cost 1 inf + 0 14.692 * * [simplify]: Extracting #1: cost 0 inf + 1 14.692 * [simplify]: Simplified to 2 14.692 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.692 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 14.692 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.692 * * [simplify]: iters left: 4 (5 enodes) 14.695 * * [simplify]: iters left: 3 (16 enodes) 14.699 * * [simplify]: Extracting #0: cost 1 inf + 0 14.699 * * [simplify]: Extracting #1: cost 4 inf + 0 14.699 * * [simplify]: Extracting #2: cost 8 inf + 0 14.699 * * [simplify]: Extracting #3: cost 4 inf + 84 14.699 * * [simplify]: Extracting #4: cost 0 inf + 410 14.699 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.699 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ 1/2 1)))) 1)) 14.700 * [simplify]: Simplifying (+ 1/2 (+ 1/2 1)) 14.700 * * [simplify]: iters left: 4 (4 enodes) 14.705 * * [simplify]: iters left: 3 (20 enodes) 14.711 * * [simplify]: iters left: 2 (22 enodes) 14.716 * * [simplify]: Extracting #0: cost 1 inf + 0 14.716 * * [simplify]: Extracting #1: cost 0 inf + 1 14.716 * [simplify]: Simplified to 2 14.716 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.716 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 14.717 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.717 * * [simplify]: iters left: 4 (5 enodes) 14.719 * * [simplify]: iters left: 3 (16 enodes) 14.723 * * [simplify]: Extracting #0: cost 1 inf + 0 14.723 * * [simplify]: Extracting #1: cost 4 inf + 0 14.723 * * [simplify]: Extracting #2: cost 8 inf + 0 14.724 * * [simplify]: Extracting #3: cost 4 inf + 84 14.724 * * [simplify]: Extracting #4: cost 0 inf + 410 14.724 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.724 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ (/ 1 2) 1)))) 1)) 14.724 * [simplify]: Simplifying (+ 1/2 (+ (/ 1 2) 1)) 14.724 * * [simplify]: iters left: 6 (6 enodes) 14.733 * * [simplify]: iters left: 5 (24 enodes) 14.745 * * [simplify]: iters left: 4 (38 enodes) 14.750 * * [simplify]: Extracting #0: cost 1 inf + 0 14.750 * * [simplify]: Extracting #1: cost 0 inf + 1 14.750 * [simplify]: Simplified to 2 14.750 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.750 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 14.751 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 14.751 * * [simplify]: iters left: 5 (6 enodes) 14.752 * * [simplify]: iters left: 4 (19 enodes) 14.754 * * [simplify]: Extracting #0: cost 1 inf + 0 14.754 * * [simplify]: Extracting #1: cost 3 inf + 0 14.754 * * [simplify]: Extracting #2: cost 6 inf + 0 14.754 * * [simplify]: Extracting #3: cost 10 inf + 0 14.754 * * [simplify]: Extracting #4: cost 6 inf + 84 14.755 * * [simplify]: Extracting #5: cost 0 inf + 734 14.755 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 14.755 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) (+ 1 3))) 1)) 14.755 * [simplify]: Simplifying (+ 1 3) 14.755 * * [simplify]: iters left: 2 (3 enodes) 14.757 * * [simplify]: iters left: 1 (13 enodes) 14.759 * * [simplify]: Extracting #0: cost 1 inf + 0 14.759 * * [simplify]: Extracting #1: cost 0 inf + 1 14.759 * [simplify]: Simplified to 4 14.759 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 14.759 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 14.759 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.760 * * [simplify]: iters left: 4 (5 enodes) 14.761 * * [simplify]: iters left: 3 (16 enodes) 14.763 * * [simplify]: Extracting #0: cost 1 inf + 0 14.763 * * [simplify]: Extracting #1: cost 4 inf + 0 14.763 * * [simplify]: Extracting #2: cost 8 inf + 0 14.763 * * [simplify]: Extracting #3: cost 4 inf + 84 14.763 * * [simplify]: Extracting #4: cost 0 inf + 410 14.763 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.763 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ 1/2 1)))) 1)) 14.763 * [simplify]: Simplifying (+ (/ 1 2) (+ 1/2 1)) 14.763 * * [simplify]: iters left: 4 (6 enodes) 14.768 * * [simplify]: iters left: 3 (25 enodes) 14.771 * * [simplify]: iters left: 2 (27 enodes) 14.775 * * [simplify]: Extracting #0: cost 1 inf + 0 14.775 * * [simplify]: Extracting #1: cost 0 inf + 1 14.775 * [simplify]: Simplified to 2 14.775 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.776 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 14.776 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.776 * * [simplify]: iters left: 4 (5 enodes) 14.777 * * [simplify]: iters left: 3 (16 enodes) 14.781 * * [simplify]: Extracting #0: cost 1 inf + 0 14.781 * * [simplify]: Extracting #1: cost 4 inf + 0 14.782 * * [simplify]: Extracting #2: cost 8 inf + 0 14.782 * * [simplify]: Extracting #3: cost 4 inf + 84 14.782 * * [simplify]: Extracting #4: cost 0 inf + 410 14.782 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.782 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ (/ 1 2) 1)))) 1)) 14.782 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1 2) 1)) 14.782 * * [simplify]: iters left: 6 (5 enodes) 14.788 * * [simplify]: iters left: 5 (23 enodes) 14.795 * * [simplify]: iters left: 4 (25 enodes) 14.799 * * [simplify]: Extracting #0: cost 1 inf + 0 14.799 * * [simplify]: Extracting #1: cost 0 inf + 1 14.799 * [simplify]: Simplified to 2 14.799 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.799 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 14.799 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.799 * * [simplify]: iters left: 4 (5 enodes) 14.801 * * [simplify]: iters left: 3 (16 enodes) 14.802 * * [simplify]: Extracting #0: cost 1 inf + 0 14.803 * * [simplify]: Extracting #1: cost 4 inf + 0 14.803 * * [simplify]: Extracting #2: cost 8 inf + 0 14.803 * * [simplify]: Extracting #3: cost 4 inf + 84 14.803 * * [simplify]: Extracting #4: cost 0 inf + 410 14.803 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.803 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ 1/2 1)))) 1)) 14.803 * [simplify]: Simplifying (+ (/ 1 2) (+ 1/2 1)) 14.803 * * [simplify]: iters left: 4 (6 enodes) 14.808 * * [simplify]: iters left: 3 (25 enodes) 14.811 * * [simplify]: iters left: 2 (27 enodes) 14.815 * * [simplify]: Extracting #0: cost 1 inf + 0 14.815 * * [simplify]: Extracting #1: cost 0 inf + 1 14.815 * [simplify]: Simplified to 2 14.815 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.815 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 14.815 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.815 * * [simplify]: iters left: 4 (5 enodes) 14.816 * * [simplify]: iters left: 3 (16 enodes) 14.818 * * [simplify]: Extracting #0: cost 1 inf + 0 14.818 * * [simplify]: Extracting #1: cost 4 inf + 0 14.818 * * [simplify]: Extracting #2: cost 8 inf + 0 14.818 * * [simplify]: Extracting #3: cost 4 inf + 84 14.818 * * [simplify]: Extracting #4: cost 0 inf + 410 14.819 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.819 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ (/ 1 2) 1)))) 1)) 14.819 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1 2) 1)) 14.819 * * [simplify]: iters left: 6 (5 enodes) 14.823 * * [simplify]: iters left: 5 (23 enodes) 14.836 * * [simplify]: iters left: 4 (25 enodes) 14.840 * * [simplify]: Extracting #0: cost 1 inf + 0 14.840 * * [simplify]: Extracting #1: cost 0 inf + 1 14.840 * [simplify]: Simplified to 2 14.840 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.840 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 14.840 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 14.840 * * [simplify]: iters left: 6 (8 enodes) 14.842 * * [simplify]: iters left: 5 (35 enodes) 14.848 * * [simplify]: iters left: 4 (77 enodes) 14.863 * * [simplify]: iters left: 3 (139 enodes) 14.911 * * [simplify]: iters left: 2 (227 enodes) 14.972 * * [simplify]: iters left: 1 (347 enodes) 15.050 * * [simplify]: Extracting #0: cost 1 inf + 0 15.050 * * [simplify]: Extracting #1: cost 20 inf + 0 15.051 * * [simplify]: Extracting #2: cost 76 inf + 1 15.052 * * [simplify]: Extracting #3: cost 85 inf + 534 15.054 * * [simplify]: Extracting #4: cost 44 inf + 6902 15.061 * * [simplify]: Extracting #5: cost 4 inf + 14858 15.068 * * [simplify]: Extracting #6: cost 0 inf + 15757 15.075 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 15.076 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) 1)) 15.076 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 15.076 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 15.076 * * [simplify]: iters left: 6 (8 enodes) 15.080 * * [simplify]: iters left: 5 (35 enodes) 15.093 * * [simplify]: iters left: 4 (77 enodes) 15.123 * * [simplify]: iters left: 3 (139 enodes) 15.157 * * [simplify]: iters left: 2 (227 enodes) 15.240 * * [simplify]: iters left: 1 (347 enodes) 15.314 * * [simplify]: Extracting #0: cost 1 inf + 0 15.315 * * [simplify]: Extracting #1: cost 20 inf + 0 15.315 * * [simplify]: Extracting #2: cost 76 inf + 1 15.316 * * [simplify]: Extracting #3: cost 85 inf + 534 15.318 * * [simplify]: Extracting #4: cost 44 inf + 6902 15.325 * * [simplify]: Extracting #5: cost 4 inf + 14858 15.335 * * [simplify]: Extracting #6: cost 0 inf + 15757 15.343 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 15.343 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) 1)) 15.343 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 15.343 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 15.344 * [simplify]: Simplifying (+ (log (sqrt (+ (* a a) (* b b)))) (+ (log (sqrt (+ (* a a) (* b b)))) (log (+ (* a a) (* b b))))) 15.344 * * [simplify]: iters left: 6 (10 enodes) 15.348 * * [simplify]: iters left: 5 (35 enodes) 15.358 * * [simplify]: iters left: 4 (38 enodes) 15.368 * * [simplify]: Extracting #0: cost 1 inf + 0 15.368 * * [simplify]: Extracting #1: cost 6 inf + 0 15.368 * * [simplify]: Extracting #2: cost 12 inf + 0 15.368 * * [simplify]: Extracting #3: cost 16 inf + 0 15.368 * * [simplify]: Extracting #4: cost 20 inf + 0 15.368 * * [simplify]: Extracting #5: cost 17 inf + 43 15.369 * * [simplify]: Extracting #6: cost 15 inf + 125 15.369 * * [simplify]: Extracting #7: cost 9 inf + 956 15.370 * * [simplify]: Extracting #8: cost 1 inf + 3302 15.371 * * [simplify]: Extracting #9: cost 0 inf + 3574 15.372 * [simplify]: Simplified to (+ (log (+ (* a a) (* b b))) (+ (log (sqrt (+ (* a a) (* b b)))) (log (sqrt (+ (* a a) (* b b)))))) 15.372 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (exp (+ (log (+ (* a a) (* b b))) (+ (log (sqrt (+ (* a a) (* b b)))) (log (sqrt (+ (* a a) (* b b)))))))) 1)) 15.372 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 15.373 * [simplify]: Simplifying (+ (log (sqrt (+ (* a a) (* b b)))) (log (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 15.373 * * [simplify]: iters left: 6 (10 enodes) 15.375 * * [simplify]: iters left: 5 (41 enodes) 15.381 * * [simplify]: iters left: 4 (64 enodes) 15.389 * * [simplify]: iters left: 3 (75 enodes) 15.397 * * [simplify]: Extracting #0: cost 1 inf + 0 15.397 * * [simplify]: Extracting #1: cost 6 inf + 0 15.397 * * [simplify]: Extracting #2: cost 13 inf + 0 15.397 * * [simplify]: Extracting #3: cost 20 inf + 0 15.397 * * [simplify]: Extracting #4: cost 28 inf + 0 15.397 * * [simplify]: Extracting #5: cost 25 inf + 125 15.398 * * [simplify]: Extracting #6: cost 21 inf + 572 15.398 * * [simplify]: Extracting #7: cost 4 inf + 4466 15.399 * * [simplify]: Extracting #8: cost 0 inf + 5454 15.401 * [simplify]: Simplified to (+ (+ (log (sqrt (+ (* a a) (* b b)))) (log (sqrt (+ (* a a) (* b b))))) (log (+ (* a a) (* b b)))) 15.401 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (exp (+ (+ (log (sqrt (+ (* a a) (* b b)))) (log (sqrt (+ (* a a) (* b b))))) (log (+ (* a a) (* b b)))))) 1)) 15.401 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 15.401 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 15.401 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 15.401 * [simplify]: Simplifying (* (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (* (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 15.402 * * [simplify]: iters left: 6 (12 enodes) 15.408 * * [simplify]: iters left: 5 (62 enodes) 15.446 * * [simplify]: iters left: 4 (278 enodes) 15.836 * * [simplify]: Extracting #0: cost 1 inf + 0 15.836 * * [simplify]: Extracting #1: cost 28 inf + 0 15.837 * * [simplify]: Extracting #2: cost 205 inf + 1 15.839 * * [simplify]: Extracting #3: cost 348 inf + 7957 15.861 * * [simplify]: Extracting #4: cost 125 inf + 62605 15.892 * * [simplify]: Extracting #5: cost 2 inf + 98942 15.925 * * [simplify]: Extracting #6: cost 0 inf + 99506 15.982 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 15.983 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (cbrt (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) 1)) 15.983 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 15.983 * [simplify]: Simplifying (* (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (* (* (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 15.984 * * [simplify]: iters left: 6 (12 enodes) 15.990 * * [simplify]: iters left: 5 (52 enodes) 16.018 * * [simplify]: iters left: 4 (195 enodes) 16.215 * * [simplify]: Extracting #0: cost 1 inf + 0 16.215 * * [simplify]: Extracting #1: cost 24 inf + 0 16.216 * * [simplify]: Extracting #2: cost 174 inf + 2 16.217 * * [simplify]: Extracting #3: cost 277 inf + 542 16.223 * * [simplify]: Extracting #4: cost 174 inf + 27089 16.244 * * [simplify]: Extracting #5: cost 8 inf + 75977 16.283 * * [simplify]: Extracting #6: cost 0 inf + 78033 16.314 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 16.314 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (cbrt (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) 1)) 16.314 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 16.314 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 16.314 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 16.314 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 16.315 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 16.315 * * [simplify]: iters left: 6 (11 enodes) 16.321 * * [simplify]: iters left: 5 (61 enodes) 16.345 * * [simplify]: iters left: 4 (182 enodes) 16.413 * * [simplify]: Extracting #0: cost 1 inf + 0 16.413 * * [simplify]: Extracting #1: cost 13 inf + 0 16.413 * * [simplify]: Extracting #2: cost 85 inf + 0 16.414 * * [simplify]: Extracting #3: cost 152 inf + 368 16.416 * * [simplify]: Extracting #4: cost 135 inf + 4714 16.431 * * [simplify]: Extracting #5: cost 23 inf + 48277 16.450 * * [simplify]: Extracting #6: cost 2 inf + 58360 16.462 * * [simplify]: Extracting #7: cost 0 inf + 58864 16.477 * [simplify]: Simplified to (* (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))) (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b))))) 16.478 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))) (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 16.478 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 16.478 * * [simplify]: iters left: 6 (12 enodes) 16.485 * * [simplify]: iters left: 5 (68 enodes) 16.505 * * [simplify]: iters left: 4 (189 enodes) 16.587 * * [simplify]: Extracting #0: cost 1 inf + 0 16.587 * * [simplify]: Extracting #1: cost 17 inf + 0 16.587 * * [simplify]: Extracting #2: cost 100 inf + 0 16.589 * * [simplify]: Extracting #3: cost 158 inf + 2669 16.599 * * [simplify]: Extracting #4: cost 62 inf + 31478 16.619 * * [simplify]: Extracting #5: cost 3 inf + 46040 16.639 * * [simplify]: Extracting #6: cost 0 inf + 46936 16.662 * [simplify]: Simplified to (* (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a)))) 16.662 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))) (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b))))) (* (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a)))))) 1)) 16.662 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 16.662 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 16.663 * * [simplify]: iters left: 6 (14 enodes) 16.667 * * [simplify]: iters left: 5 (75 enodes) 16.683 * * [simplify]: iters left: 4 (153 enodes) 16.745 * * [simplify]: iters left: 3 (434 enodes) 17.007 * * [simplify]: Extracting #0: cost 1 inf + 0 17.007 * * [simplify]: Extracting #1: cost 62 inf + 0 17.009 * * [simplify]: Extracting #2: cost 380 inf + 0 17.015 * * [simplify]: Extracting #3: cost 433 inf + 10597 17.043 * * [simplify]: Extracting #4: cost 206 inf + 73038 17.111 * * [simplify]: Extracting #5: cost 29 inf + 142972 17.153 * * [simplify]: Extracting #6: cost 1 inf + 154954 17.210 * * [simplify]: Extracting #7: cost 0 inf + 155457 17.257 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b))))) 17.257 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b)))))) 1)) 17.258 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b)))) 17.258 * * [simplify]: iters left: 6 (13 enodes) 17.265 * * [simplify]: iters left: 5 (70 enodes) 17.291 * * [simplify]: iters left: 4 (166 enodes) 17.336 * * [simplify]: iters left: 3 (447 enodes) 17.612 * * [simplify]: Extracting #0: cost 1 inf + 0 17.613 * * [simplify]: Extracting #1: cost 63 inf + 0 17.614 * * [simplify]: Extracting #2: cost 376 inf + 0 17.629 * * [simplify]: Extracting #3: cost 276 inf + 37129 17.672 * * [simplify]: Extracting #4: cost 20 inf + 101710 17.701 * * [simplify]: Extracting #5: cost 11 inf + 100009 17.750 * * [simplify]: Extracting #6: cost 1 inf + 101958 17.801 * * [simplify]: Extracting #7: cost 0 inf + 102210 17.829 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* (- (* a a) (* b b)) (* a a))) (* (* (* b b) (* b b)) (- (* a a) (* b b)))) 17.830 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b))))) (+ (* (- (* a a) (* b b)) (* (- (* a a) (* b b)) (* a a))) (* (* (* b b) (* b b)) (- (* a a) (* b b)))))) 1)) 17.830 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 17.830 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 17.830 * * [simplify]: iters left: 6 (15 enodes) 17.835 * * [simplify]: iters left: 5 (84 enodes) 17.865 * * [simplify]: iters left: 4 (213 enodes) 17.954 * * [simplify]: Extracting #0: cost 1 inf + 0 17.954 * * [simplify]: Extracting #1: cost 16 inf + 0 17.954 * * [simplify]: Extracting #2: cost 106 inf + 0 17.955 * * [simplify]: Extracting #3: cost 186 inf + 488 17.957 * * [simplify]: Extracting #4: cost 162 inf + 11962 17.966 * * [simplify]: Extracting #5: cost 51 inf + 53756 17.981 * * [simplify]: Extracting #6: cost 0 inf + 73992 18.006 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))))) 18.006 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 18.006 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 18.006 * * [simplify]: iters left: 6 (14 enodes) 18.010 * * [simplify]: iters left: 5 (79 enodes) 18.026 * * [simplify]: iters left: 4 (214 enodes) 18.104 * * [simplify]: Extracting #0: cost 1 inf + 0 18.104 * * [simplify]: Extracting #1: cost 24 inf + 0 18.104 * * [simplify]: Extracting #2: cost 107 inf + 0 18.105 * * [simplify]: Extracting #3: cost 178 inf + 1377 18.108 * * [simplify]: Extracting #4: cost 106 inf + 19459 18.118 * * [simplify]: Extracting #5: cost 10 inf + 47085 18.130 * * [simplify]: Extracting #6: cost 0 inf + 51005 18.141 * [simplify]: Simplified to (* (sqrt (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a)))) (* (sqrt (- (* a a) (* b b))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))) 18.141 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))))) (* (sqrt (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a)))) (* (sqrt (- (* a a) (* b b))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))))) 1)) 18.141 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 18.141 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 18.141 * * [simplify]: iters left: 6 (15 enodes) 18.146 * * [simplify]: iters left: 5 (78 enodes) 18.167 * * [simplify]: iters left: 4 (163 enodes) 18.228 * * [simplify]: iters left: 3 (444 enodes) 18.415 * * [simplify]: Extracting #0: cost 1 inf + 0 18.415 * * [simplify]: Extracting #1: cost 55 inf + 0 18.416 * * [simplify]: Extracting #2: cost 228 inf + 0 18.418 * * [simplify]: Extracting #3: cost 307 inf + 2682 18.428 * * [simplify]: Extracting #4: cost 181 inf + 43628 18.463 * * [simplify]: Extracting #5: cost 42 inf + 117418 18.518 * * [simplify]: Extracting #6: cost 13 inf + 129405 18.588 * * [simplify]: Extracting #7: cost 4 inf + 133100 18.630 * * [simplify]: Extracting #8: cost 2 inf + 133604 18.681 * * [simplify]: Extracting #9: cost 0 inf + 134108 18.727 * [simplify]: Simplified to (* (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) 18.727 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)))))) 1)) 18.727 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)))) 18.728 * * [simplify]: iters left: 6 (14 enodes) 18.734 * * [simplify]: iters left: 5 (73 enodes) 18.756 * * [simplify]: iters left: 4 (176 enodes) 18.795 * * [simplify]: iters left: 3 (420 enodes) 18.936 * * [simplify]: Extracting #0: cost 1 inf + 0 18.936 * * [simplify]: Extracting #1: cost 37 inf + 0 18.937 * * [simplify]: Extracting #2: cost 123 inf + 0 18.938 * * [simplify]: Extracting #3: cost 159 inf + 206 18.942 * * [simplify]: Extracting #4: cost 161 inf + 8213 18.957 * * [simplify]: Extracting #5: cost 69 inf + 38834 18.974 * * [simplify]: Extracting #6: cost 10 inf + 55848 19.000 * * [simplify]: Extracting #7: cost 3 inf + 57511 19.019 * * [simplify]: Extracting #8: cost 0 inf + 58147 19.036 * [simplify]: Simplified to (* (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))) 19.036 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) (* (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))))) 1)) 19.037 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 19.037 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (* a a) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 19.037 * * [simplify]: iters left: 6 (13 enodes) 19.041 * * [simplify]: iters left: 5 (68 enodes) 19.072 * * [simplify]: iters left: 4 (193 enodes) 19.147 * * [simplify]: Extracting #0: cost 1 inf + 0 19.147 * * [simplify]: Extracting #1: cost 16 inf + 0 19.147 * * [simplify]: Extracting #2: cost 106 inf + 0 19.148 * * [simplify]: Extracting #3: cost 176 inf + 408 19.150 * * [simplify]: Extracting #4: cost 131 inf + 11879 19.159 * * [simplify]: Extracting #5: cost 35 inf + 51460 19.178 * * [simplify]: Extracting #6: cost 5 inf + 63673 19.191 * * [simplify]: Extracting #7: cost 0 inf + 65636 19.206 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (* (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (sqrt (+ (* a a) (* b b))))) 19.206 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (* (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (sqrt (+ (* a a) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))) 1)) 19.207 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 19.207 * * [simplify]: iters left: 6 (11 enodes) 19.211 * * [simplify]: iters left: 5 (62 enodes) 19.236 * * [simplify]: iters left: 4 (159 enodes) 19.281 * * [simplify]: iters left: 3 (390 enodes) 19.489 * * [simplify]: Extracting #0: cost 1 inf + 0 19.489 * * [simplify]: Extracting #1: cost 11 inf + 0 19.490 * * [simplify]: Extracting #2: cost 125 inf + 0 19.492 * * [simplify]: Extracting #3: cost 202 inf + 1541 19.504 * * [simplify]: Extracting #4: cost 98 inf + 27657 19.537 * * [simplify]: Extracting #5: cost 4 inf + 60577 19.578 * * [simplify]: Extracting #6: cost 0 inf + 62508 19.612 * [simplify]: Simplified to (* (sqrt (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) 19.612 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))) (* (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (sqrt (+ (* a a) (* b b))))) (* (sqrt (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))))) 1)) 19.612 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 19.613 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 19.613 * * [simplify]: iters left: 6 (16 enodes) 19.622 * * [simplify]: iters left: 5 (81 enodes) 19.651 * * [simplify]: iters left: 4 (163 enodes) 19.695 * * [simplify]: iters left: 3 (440 enodes) 19.850 * * [simplify]: Extracting #0: cost 1 inf + 0 19.850 * * [simplify]: Extracting #1: cost 55 inf + 0 19.851 * * [simplify]: Extracting #2: cost 228 inf + 0 19.852 * * [simplify]: Extracting #3: cost 302 inf + 2680 19.861 * * [simplify]: Extracting #4: cost 167 inf + 41150 19.905 * * [simplify]: Extracting #5: cost 62 inf + 98740 19.971 * * [simplify]: Extracting #6: cost 15 inf + 119902 20.032 * * [simplify]: Extracting #7: cost 4 inf + 124934 20.071 * * [simplify]: Extracting #8: cost 0 inf + 125942 20.135 * [simplify]: Simplified to (* (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))))) 20.135 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b))))) 1)) 20.135 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b))) 20.136 * * [simplify]: iters left: 6 (12 enodes) 20.142 * * [simplify]: iters left: 5 (64 enodes) 20.166 * * [simplify]: iters left: 4 (151 enodes) 20.197 * * [simplify]: iters left: 3 (312 enodes) 20.302 * * [simplify]: Extracting #0: cost 1 inf + 0 20.303 * * [simplify]: Extracting #1: cost 25 inf + 0 20.303 * * [simplify]: Extracting #2: cost 57 inf + 0 20.303 * * [simplify]: Extracting #3: cost 76 inf + 206 20.305 * * [simplify]: Extracting #4: cost 103 inf + 2603 20.313 * * [simplify]: Extracting #5: cost 43 inf + 20280 20.327 * * [simplify]: Extracting #6: cost 11 inf + 26580 20.343 * * [simplify]: Extracting #7: cost 1 inf + 28609 20.351 * * [simplify]: Extracting #8: cost 0 inf + 28861 20.358 * [simplify]: Simplified to (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) 20.358 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))))) (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))))) 1)) 20.358 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 20.358 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b)))) 20.359 * * [simplify]: iters left: 6 (12 enodes) 20.362 * * [simplify]: iters left: 5 (65 enodes) 20.384 * * [simplify]: iters left: 4 (163 enodes) 20.432 * * [simplify]: iters left: 3 (337 enodes) 20.559 * * [simplify]: Extracting #0: cost 1 inf + 0 20.559 * * [simplify]: Extracting #1: cost 22 inf + 0 20.559 * * [simplify]: Extracting #2: cost 163 inf + 0 20.560 * * [simplify]: Extracting #3: cost 211 inf + 997 20.562 * * [simplify]: Extracting #4: cost 156 inf + 20077 20.569 * * [simplify]: Extracting #5: cost 17 inf + 60977 20.578 * * [simplify]: Extracting #6: cost 2 inf + 60621 20.587 * * [simplify]: Extracting #7: cost 0 inf + 61125 20.597 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* (* a a) (* (* a a) (* a a))) (* (* (* b b) (* b b)) (* b b)))) 20.597 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* a a) (* b b)) (+ (* (* a a) (* (* a a) (* a a))) (* (* (* b b) (* b b)) (* b b)))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 20.598 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 20.598 * * [simplify]: iters left: 6 (11 enodes) 20.604 * * [simplify]: iters left: 5 (53 enodes) 20.623 * * [simplify]: iters left: 4 (121 enodes) 20.677 * * [simplify]: iters left: 3 (237 enodes) 20.758 * * [simplify]: iters left: 2 (369 enodes) 20.884 * * [simplify]: Extracting #0: cost 1 inf + 0 20.884 * * [simplify]: Extracting #1: cost 21 inf + 0 20.884 * * [simplify]: Extracting #2: cost 148 inf + 0 20.885 * * [simplify]: Extracting #3: cost 199 inf + 2514 20.889 * * [simplify]: Extracting #4: cost 99 inf + 16571 20.895 * * [simplify]: Extracting #5: cost 4 inf + 34452 20.902 * * [simplify]: Extracting #6: cost 0 inf + 35080 20.910 * * [simplify]: Extracting #7: cost 0 inf + 35040 20.920 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 20.920 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* a a) (* b b)) (+ (* (* a a) (* (* a a) (* a a))) (* (* (* b b) (* b b)) (* b b)))) (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))))) 1)) 20.921 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 20.921 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b)))) 20.921 * * [simplify]: iters left: 6 (16 enodes) 20.931 * * [simplify]: iters left: 5 (87 enodes) 20.968 * * [simplify]: iters left: 4 (189 enodes) 21.029 * * [simplify]: iters left: 3 (390 enodes) 21.165 * * [simplify]: Extracting #0: cost 1 inf + 0 21.165 * * [simplify]: Extracting #1: cost 10 inf + 0 21.165 * * [simplify]: Extracting #2: cost 36 inf + 0 21.165 * * [simplify]: Extracting #3: cost 63 inf + 206 21.166 * * [simplify]: Extracting #4: cost 122 inf + 1384 21.169 * * [simplify]: Extracting #5: cost 86 inf + 13558 21.177 * * [simplify]: Extracting #6: cost 55 inf + 24638 21.193 * * [simplify]: Extracting #7: cost 19 inf + 36649 21.210 * * [simplify]: Extracting #8: cost 2 inf + 41966 21.219 * * [simplify]: Extracting #9: cost 0 inf + 42470 21.228 * [simplify]: Simplified to (* (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) (+ (* a a) (* b b))) 21.228 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) (+ (* a a) (* b b))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (sqrt (- (* a a) (* b b)))))) 1)) 21.229 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (sqrt (- (* a a) (* b b)))) 21.229 * * [simplify]: iters left: 6 (13 enodes) 21.232 * * [simplify]: iters left: 5 (67 enodes) 21.245 * * [simplify]: iters left: 4 (144 enodes) 21.283 * * [simplify]: iters left: 3 (260 enodes) 21.388 * * [simplify]: iters left: 2 (407 enodes) 21.523 * * [simplify]: Extracting #0: cost 1 inf + 0 21.523 * * [simplify]: Extracting #1: cost 4 inf + 0 21.523 * * [simplify]: Extracting #2: cost 8 inf + 0 21.523 * * [simplify]: Extracting #3: cost 66 inf + 0 21.524 * * [simplify]: Extracting #4: cost 212 inf + 0 21.526 * * [simplify]: Extracting #5: cost 207 inf + 7454 21.532 * * [simplify]: Extracting #6: cost 69 inf + 27997 21.540 * * [simplify]: Extracting #7: cost 3 inf + 41364 21.552 * * [simplify]: Extracting #8: cost 0 inf + 42040 21.565 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))) 21.565 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) (+ (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))))) 1)) 21.565 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 21.566 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 21.566 * * [simplify]: iters left: 6 (15 enodes) 21.575 * * [simplify]: iters left: 5 (84 enodes) 21.612 * * [simplify]: iters left: 4 (213 enodes) 21.712 * * [simplify]: Extracting #0: cost 1 inf + 0 21.712 * * [simplify]: Extracting #1: cost 16 inf + 0 21.712 * * [simplify]: Extracting #2: cost 107 inf + 0 21.713 * * [simplify]: Extracting #3: cost 181 inf + 1617 21.716 * * [simplify]: Extracting #4: cost 150 inf + 12579 21.725 * * [simplify]: Extracting #5: cost 62 inf + 43359 21.752 * * [simplify]: Extracting #6: cost 1 inf + 74700 21.776 * * [simplify]: Extracting #7: cost 0 inf + 74952 21.793 * [simplify]: Simplified to (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a)))))) 21.793 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a)))))) (* (sqrt (- (* a a) (* b b))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 21.794 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 21.794 * * [simplify]: iters left: 6 (14 enodes) 21.806 * * [simplify]: iters left: 5 (79 enodes) 21.827 * * [simplify]: iters left: 4 (214 enodes) 21.903 * * [simplify]: Extracting #0: cost 1 inf + 0 21.903 * * [simplify]: Extracting #1: cost 24 inf + 0 21.903 * * [simplify]: Extracting #2: cost 107 inf + 0 21.905 * * [simplify]: Extracting #3: cost 172 inf + 2429 21.912 * * [simplify]: Extracting #4: cost 103 inf + 20185 21.923 * * [simplify]: Extracting #5: cost 10 inf + 49585 21.935 * * [simplify]: Extracting #6: cost 0 inf + 54045 21.948 * [simplify]: Simplified to (* (* (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))) (sqrt (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))))) (sqrt (- (* a a) (* b b)))) 21.948 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a)))))) (* (* (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))) (sqrt (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))))) (sqrt (- (* a a) (* b b)))))) 1)) 21.948 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 21.948 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 21.948 * * [simplify]: iters left: 6 (15 enodes) 21.953 * * [simplify]: iters left: 5 (78 enodes) 21.971 * * [simplify]: iters left: 4 (163 enodes) 22.020 * * [simplify]: iters left: 3 (446 enodes) 22.189 * * [simplify]: Extracting #0: cost 1 inf + 0 22.189 * * [simplify]: Extracting #1: cost 55 inf + 0 22.190 * * [simplify]: Extracting #2: cost 228 inf + 0 22.195 * * [simplify]: Extracting #3: cost 291 inf + 7070 22.211 * * [simplify]: Extracting #4: cost 183 inf + 40579 22.273 * * [simplify]: Extracting #5: cost 54 inf + 110433 22.329 * * [simplify]: Extracting #6: cost 14 inf + 127702 22.385 * * [simplify]: Extracting #7: cost 3 inf + 132403 22.457 * * [simplify]: Extracting #8: cost 0 inf + 132908 22.527 * [simplify]: Simplified to (* (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))))) 22.528 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))))) (* (sqrt (- (* a a) (* b b))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b)))))) 1)) 22.528 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b)))) 22.528 * * [simplify]: iters left: 6 (14 enodes) 22.534 * * [simplify]: iters left: 5 (73 enodes) 22.548 * * [simplify]: iters left: 4 (176 enodes) 22.592 * * [simplify]: iters left: 3 (420 enodes) 23.113 * * [simplify]: Extracting #0: cost 1 inf + 0 23.114 * * [simplify]: Extracting #1: cost 37 inf + 0 23.114 * * [simplify]: Extracting #2: cost 123 inf + 0 23.115 * * [simplify]: Extracting #3: cost 156 inf + 773 23.116 * * [simplify]: Extracting #4: cost 175 inf + 4626 23.121 * * [simplify]: Extracting #5: cost 106 inf + 24840 23.141 * * [simplify]: Extracting #6: cost 12 inf + 56384 23.164 * * [simplify]: Extracting #7: cost 4 inf + 58059 23.181 * * [simplify]: Extracting #8: cost 0 inf + 58987 23.198 * [simplify]: Simplified to (* (* (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))) 23.198 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))))) (* (* (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))))) 1)) 23.198 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 23.198 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 23.198 * * [simplify]: iters left: 6 (14 enodes) 23.208 * * [simplify]: iters left: 5 (81 enodes) 23.231 * * [simplify]: iters left: 4 (207 enodes) 23.345 * * [simplify]: Extracting #0: cost 1 inf + 0 23.345 * * [simplify]: Extracting #1: cost 22 inf + 0 23.345 * * [simplify]: Extracting #2: cost 122 inf + 0 23.347 * * [simplify]: Extracting #3: cost 183 inf + 2148 23.353 * * [simplify]: Extracting #4: cost 91 inf + 26369 23.363 * * [simplify]: Extracting #5: cost 23 inf + 48554 23.375 * * [simplify]: Extracting #6: cost 0 inf + 58978 23.396 * [simplify]: Simplified to (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 23.396 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 23.397 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 23.397 * * [simplify]: iters left: 6 (13 enodes) 23.404 * * [simplify]: iters left: 5 (76 enodes) 23.438 * * [simplify]: iters left: 4 (208 enodes) 23.518 * * [simplify]: Extracting #0: cost 1 inf + 0 23.518 * * [simplify]: Extracting #1: cost 30 inf + 0 23.518 * * [simplify]: Extracting #2: cost 118 inf + 0 23.519 * * [simplify]: Extracting #3: cost 165 inf + 3241 23.525 * * [simplify]: Extracting #4: cost 69 inf + 23001 23.543 * * [simplify]: Extracting #5: cost 0 inf + 37875 23.551 * * [simplify]: Extracting #6: cost 0 inf + 37795 23.559 * [simplify]: Simplified to (* (- (* a a) (* b b)) (- (* (* b b) (* b b)) (* (* a a) (- (* b b) (* a a))))) 23.559 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (* b b)) (- (* (* b b) (* b b)) (* (* a a) (- (* b b) (* a a))))))) 1)) 23.559 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 23.560 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 23.560 * * [simplify]: iters left: 6 (10 enodes) 23.562 * * [simplify]: iters left: 5 (47 enodes) 23.572 * * [simplify]: iters left: 4 (95 enodes) 23.614 * * [simplify]: iters left: 3 (321 enodes) 23.844 * * [simplify]: Extracting #0: cost 1 inf + 0 23.845 * * [simplify]: Extracting #1: cost 66 inf + 0 23.845 * * [simplify]: Extracting #2: cost 331 inf + 1 23.850 * * [simplify]: Extracting #3: cost 421 inf + 18110 23.875 * * [simplify]: Extracting #4: cost 93 inf + 98899 23.924 * * [simplify]: Extracting #5: cost 2 inf + 126470 23.982 * * [simplify]: Extracting #6: cost 0 inf + 126654 24.022 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 24.022 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)))))) 1)) 24.023 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)))) 24.023 * * [simplify]: iters left: 6 (8 enodes) 24.027 * * [simplify]: iters left: 5 (33 enodes) 24.038 * * [simplify]: iters left: 4 (64 enodes) 24.067 * * [simplify]: iters left: 3 (217 enodes) 24.267 * * [simplify]: Extracting #0: cost 1 inf + 0 24.267 * * [simplify]: Extracting #1: cost 47 inf + 0 24.268 * * [simplify]: Extracting #2: cost 181 inf + 1 24.270 * * [simplify]: Extracting #3: cost 208 inf + 2682 24.277 * * [simplify]: Extracting #4: cost 40 inf + 32096 24.287 * * [simplify]: Extracting #5: cost 0 inf + 40291 24.297 * [simplify]: Simplified to (* (- (* a a) (* b b)) (- (* a a) (* b b))) 24.297 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))) 1)) 24.298 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 24.298 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 24.298 * * [simplify]: iters left: 6 (16 enodes) 24.304 * * [simplify]: iters left: 5 (87 enodes) 24.347 * * [simplify]: iters left: 4 (213 enodes) 24.425 * * [simplify]: Extracting #0: cost 1 inf + 0 24.425 * * [simplify]: Extracting #1: cost 16 inf + 0 24.425 * * [simplify]: Extracting #2: cost 107 inf + 0 24.426 * * [simplify]: Extracting #3: cost 181 inf + 1417 24.431 * * [simplify]: Extracting #4: cost 139 inf + 14131 24.440 * * [simplify]: Extracting #5: cost 36 inf + 48196 24.451 * * [simplify]: Extracting #6: cost 2 inf + 62446 24.474 * * [simplify]: Extracting #7: cost 0 inf + 62950 24.497 * [simplify]: Simplified to (* (* (sqrt (+ (* a a) (* b b))) (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a)))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 24.497 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (+ (* a a) (* b b))) (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a)))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))) 1)) 24.498 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 24.498 * * [simplify]: iters left: 6 (12 enodes) 24.504 * * [simplify]: iters left: 5 (70 enodes) 24.532 * * [simplify]: iters left: 4 (175 enodes) 24.606 * * [simplify]: iters left: 3 (405 enodes) 24.760 * * [simplify]: Extracting #0: cost 1 inf + 0 24.760 * * [simplify]: Extracting #1: cost 11 inf + 0 24.761 * * [simplify]: Extracting #2: cost 115 inf + 0 24.763 * * [simplify]: Extracting #3: cost 186 inf + 2554 24.774 * * [simplify]: Extracting #4: cost 74 inf + 26948 24.793 * * [simplify]: Extracting #5: cost 2 inf + 42336 24.803 * * [simplify]: Extracting #6: cost 0 inf + 42660 24.813 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))) 24.813 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (+ (* a a) (* b b))) (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a)))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))))) 1)) 24.814 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 24.814 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 24.814 * * [simplify]: iters left: 6 (12 enodes) 24.817 * * [simplify]: iters left: 5 (53 enodes) 24.825 * * [simplify]: iters left: 4 (106 enodes) 24.868 * * [simplify]: iters left: 3 (328 enodes) 25.066 * * [simplify]: Extracting #0: cost 1 inf + 0 25.066 * * [simplify]: Extracting #1: cost 59 inf + 0 25.067 * * [simplify]: Extracting #2: cost 237 inf + 0 25.070 * * [simplify]: Extracting #3: cost 289 inf + 9637 25.105 * * [simplify]: Extracting #4: cost 61 inf + 76285 25.131 * * [simplify]: Extracting #5: cost 1 inf + 98070 25.186 * * [simplify]: Extracting #6: cost 0 inf + 98282 25.239 * [simplify]: Simplified to (* (* (sqrt (+ (* a a) (* b b))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 25.240 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (sqrt (+ (* a a) (* b b))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b))))) 1)) 25.240 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b))) 25.240 * * [simplify]: iters left: 6 (7 enodes) 25.243 * * [simplify]: iters left: 5 (27 enodes) 25.248 * * [simplify]: iters left: 4 (50 enodes) 25.256 * * [simplify]: iters left: 3 (112 enodes) 25.286 * * [simplify]: iters left: 2 (282 enodes) 25.396 * * [simplify]: Extracting #0: cost 1 inf + 0 25.396 * * [simplify]: Extracting #1: cost 50 inf + 0 25.397 * * [simplify]: Extracting #2: cost 128 inf + 0 25.399 * * [simplify]: Extracting #3: cost 126 inf + 2754 25.407 * * [simplify]: Extracting #4: cost 40 inf + 20840 25.421 * * [simplify]: Extracting #5: cost 0 inf + 30600 25.434 * [simplify]: Simplified to (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))) 25.434 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))))) 1)) 25.435 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 25.435 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b)))) 25.435 * * [simplify]: iters left: 6 (16 enodes) 25.445 * * [simplify]: iters left: 5 (87 enodes) 25.482 * * [simplify]: iters left: 4 (189 enodes) 25.557 * * [simplify]: iters left: 3 (393 enodes) 25.664 * * [simplify]: Extracting #0: cost 1 inf + 0 25.664 * * [simplify]: Extracting #1: cost 10 inf + 0 25.664 * * [simplify]: Extracting #2: cost 36 inf + 0 25.664 * * [simplify]: Extracting #3: cost 63 inf + 206 25.665 * * [simplify]: Extracting #4: cost 116 inf + 2717 25.669 * * [simplify]: Extracting #5: cost 66 inf + 21238 25.677 * * [simplify]: Extracting #6: cost 51 inf + 27256 25.684 * * [simplify]: Extracting #7: cost 23 inf + 35477 25.704 * * [simplify]: Extracting #8: cost 0 inf + 43110 25.721 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))))) (sqrt (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) 25.721 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (+ (* a a) (* b b)) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))))) (sqrt (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) 1)) 25.722 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 25.722 * * [simplify]: iters left: 6 (13 enodes) 25.729 * * [simplify]: iters left: 5 (67 enodes) 25.752 * * [simplify]: iters left: 4 (144 enodes) 25.802 * * [simplify]: iters left: 3 (261 enodes) 25.875 * * [simplify]: iters left: 2 (408 enodes) 26.000 * * [simplify]: Extracting #0: cost 1 inf + 0 26.000 * * [simplify]: Extracting #1: cost 4 inf + 0 26.000 * * [simplify]: Extracting #2: cost 8 inf + 0 26.000 * * [simplify]: Extracting #3: cost 66 inf + 0 26.000 * * [simplify]: Extracting #4: cost 217 inf + 0 26.002 * * [simplify]: Extracting #5: cost 223 inf + 5556 26.008 * * [simplify]: Extracting #6: cost 79 inf + 26748 26.016 * * [simplify]: Extracting #7: cost 9 inf + 40440 26.033 * * [simplify]: Extracting #8: cost 0 inf + 43050 26.050 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b)))))) 26.050 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (+ (* a a) (* b b)) (sqrt (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))))) (sqrt (* (+ (* a a) (* b b)) (- (* a a) (* b b))))) (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b)))))))) 1)) 26.051 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 26.051 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b)))) 26.051 * * [simplify]: iters left: 6 (11 enodes) 26.057 * * [simplify]: iters left: 5 (56 enodes) 26.078 * * [simplify]: iters left: 4 (126 enodes) 26.113 * * [simplify]: iters left: 3 (267 enodes) 26.249 * * [simplify]: Extracting #0: cost 1 inf + 0 26.249 * * [simplify]: Extracting #1: cost 36 inf + 0 26.250 * * [simplify]: Extracting #2: cost 175 inf + 0 26.251 * * [simplify]: Extracting #3: cost 206 inf + 3199 26.257 * * [simplify]: Extracting #4: cost 73 inf + 27488 26.277 * * [simplify]: Extracting #5: cost 12 inf + 41769 26.298 * * [simplify]: Extracting #6: cost 2 inf + 43878 26.322 * * [simplify]: Extracting #7: cost 0 inf + 44302 26.343 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) 26.343 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))))) 1)) 26.344 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))) 26.344 * * [simplify]: iters left: 6 (7 enodes) 26.347 * * [simplify]: iters left: 5 (24 enodes) 26.354 * * [simplify]: iters left: 4 (37 enodes) 26.362 * * [simplify]: iters left: 3 (47 enodes) 26.369 * * [simplify]: iters left: 2 (81 enodes) 26.383 * * [simplify]: iters left: 1 (148 enodes) 26.413 * * [simplify]: Extracting #0: cost 1 inf + 0 26.414 * * [simplify]: Extracting #1: cost 20 inf + 0 26.414 * * [simplify]: Extracting #2: cost 50 inf + 0 26.414 * * [simplify]: Extracting #3: cost 44 inf + 290 26.416 * * [simplify]: Extracting #4: cost 16 inf + 3421 26.419 * * [simplify]: Extracting #5: cost 2 inf + 4689 26.421 * * [simplify]: Extracting #6: cost 0 inf + 5013 26.424 * [simplify]: Simplified to (- (* a a) (* b b)) 26.424 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) (- (* a a) (* b b)))) 1)) 26.424 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 26.424 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 26.424 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (* b b))) 26.424 * * [simplify]: iters left: 6 (8 enodes) 26.426 * * [simplify]: iters left: 5 (31 enodes) 26.431 * * [simplify]: iters left: 4 (42 enodes) 26.437 * * [simplify]: iters left: 3 (56 enodes) 26.445 * * [simplify]: iters left: 2 (82 enodes) 26.460 * * [simplify]: iters left: 1 (112 enodes) 26.486 * * [simplify]: Extracting #0: cost 1 inf + 0 26.487 * * [simplify]: Extracting #1: cost 11 inf + 0 26.487 * * [simplify]: Extracting #2: cost 25 inf + 1 26.487 * * [simplify]: Extracting #3: cost 26 inf + 248 26.488 * * [simplify]: Extracting #4: cost 12 inf + 1753 26.489 * * [simplify]: Extracting #5: cost 2 inf + 2931 26.491 * * [simplify]: Extracting #6: cost 0 inf + 3305 26.493 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 26.493 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (* a a))) (* (* b b) (+ (* a a) (* b b))))) 1)) 26.493 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 26.493 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (* b b) (sqrt (+ (* a a) (* b b))))) 26.494 * * [simplify]: iters left: 6 (8 enodes) 26.498 * * [simplify]: iters left: 5 (29 enodes) 26.506 * * [simplify]: iters left: 4 (39 enodes) 26.517 * * [simplify]: iters left: 3 (45 enodes) 26.531 * * [simplify]: iters left: 2 (62 enodes) 26.554 * * [simplify]: iters left: 1 (96 enodes) 26.581 * * [simplify]: Extracting #0: cost 1 inf + 0 26.581 * * [simplify]: Extracting #1: cost 11 inf + 0 26.581 * * [simplify]: Extracting #2: cost 23 inf + 123 26.582 * * [simplify]: Extracting #3: cost 21 inf + 575 26.583 * * [simplify]: Extracting #4: cost 9 inf + 1918 26.584 * * [simplify]: Extracting #5: cost 0 inf + 3305 26.586 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 26.586 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (sqrt (+ (* a a) (* b b))) (* (* a a) (sqrt (+ (* a a) (* b b))))) (* (* b b) (+ (* a a) (* b b))))) 1)) 26.586 * * * * [progress]: [ 111 / 143 ] simplifiying candidate # 26.587 * [simplify]: Simplifying (* (* (sqrt (+ (* a a) (* b b))) (* b b)) (sqrt (+ (* a a) (* b b)))) 26.587 * * [simplify]: iters left: 6 (8 enodes) 26.591 * * [simplify]: iters left: 5 (29 enodes) 26.599 * * [simplify]: iters left: 4 (39 enodes) 26.611 * * [simplify]: iters left: 3 (45 enodes) 26.620 * * [simplify]: iters left: 2 (56 enodes) 26.628 * * [simplify]: iters left: 1 (82 enodes) 26.639 * * [simplify]: Extracting #0: cost 1 inf + 0 26.639 * * [simplify]: Extracting #1: cost 11 inf + 0 26.640 * * [simplify]: Extracting #2: cost 22 inf + 123 26.640 * * [simplify]: Extracting #3: cost 23 inf + 368 26.640 * * [simplify]: Extracting #4: cost 13 inf + 1145 26.641 * * [simplify]: Extracting #5: cost 1 inf + 2889 26.641 * * [simplify]: Extracting #6: cost 0 inf + 3091 26.643 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 26.643 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* (sqrt (+ (* a a) (* b b))) (* a a)) (sqrt (+ (* a a) (* b b)))) (* (* b b) (+ (* a a) (* b b))))) 1)) 26.644 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 26.644 * [simplify]: Simplifying (* (* (* b b) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 26.644 * * [simplify]: iters left: 6 (8 enodes) 26.647 * * [simplify]: iters left: 5 (31 enodes) 26.657 * * [simplify]: iters left: 4 (40 enodes) 26.669 * * [simplify]: iters left: 3 (57 enodes) 26.687 * * [simplify]: iters left: 2 (83 enodes) 26.710 * * [simplify]: iters left: 1 (113 enodes) 26.737 * * [simplify]: Extracting #0: cost 1 inf + 0 26.737 * * [simplify]: Extracting #1: cost 11 inf + 0 26.737 * * [simplify]: Extracting #2: cost 25 inf + 1 26.737 * * [simplify]: Extracting #3: cost 23 inf + 455 26.738 * * [simplify]: Extracting #4: cost 12 inf + 1352 26.739 * * [simplify]: Extracting #5: cost 2 inf + 2891 26.741 * * [simplify]: Extracting #6: cost 0 inf + 3305 26.742 * [simplify]: Simplified to (* (* b b) (+ (* b b) (* a a))) 26.742 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* (* a a) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (* (* b b) (+ (* b b) (* a a))))) 1)) 26.743 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 26.743 * [simplify]: Simplifying (+ (* a a) (* b b)) 26.743 * * [simplify]: iters left: 4 (5 enodes) 26.745 * * [simplify]: iters left: 3 (16 enodes) 26.750 * * [simplify]: Extracting #0: cost 1 inf + 0 26.750 * * [simplify]: Extracting #1: cost 4 inf + 0 26.750 * * [simplify]: Extracting #2: cost 8 inf + 0 26.750 * * [simplify]: Extracting #3: cost 4 inf + 84 26.750 * * [simplify]: Extracting #4: cost 0 inf + 410 26.750 * [simplify]: Simplified to (+ (* a a) (* b b)) 26.751 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) (+ (* a a) (* b b)))) 1)) 26.751 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 26.751 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 26.751 * * [simplify]: iters left: 6 (8 enodes) 26.754 * * [simplify]: iters left: 5 (25 enodes) 26.761 * * [simplify]: Extracting #0: cost 1 inf + 0 26.761 * * [simplify]: Extracting #1: cost 3 inf + 0 26.761 * * [simplify]: Extracting #2: cost 5 inf + 0 26.761 * * [simplify]: Extracting #3: cost 7 inf + 0 26.761 * * [simplify]: Extracting #4: cost 10 inf + 0 26.761 * * [simplify]: Extracting #5: cost 14 inf + 0 26.761 * * [simplify]: Extracting #6: cost 11 inf + 43 26.761 * * [simplify]: Extracting #7: cost 9 inf + 125 26.762 * * [simplify]: Extracting #8: cost 5 inf + 572 26.762 * * [simplify]: Extracting #9: cost 1 inf + 1500 26.763 * * [simplify]: Extracting #10: cost 0 inf + 1782 26.763 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 26.763 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) (* (cbrt (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))))) 1)) 26.763 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 26.764 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 26.764 * * [simplify]: iters left: 6 (8 enodes) 26.767 * * [simplify]: iters left: 5 (26 enodes) 26.774 * * [simplify]: Extracting #0: cost 1 inf + 0 26.774 * * [simplify]: Extracting #1: cost 4 inf + 0 26.774 * * [simplify]: Extracting #2: cost 7 inf + 0 26.774 * * [simplify]: Extracting #3: cost 10 inf + 0 26.774 * * [simplify]: Extracting #4: cost 14 inf + 0 26.774 * * [simplify]: Extracting #5: cost 10 inf + 84 26.774 * * [simplify]: Extracting #6: cost 8 inf + 166 26.774 * * [simplify]: Extracting #7: cost 4 inf + 854 26.775 * * [simplify]: Extracting #8: cost 1 inf + 1540 26.776 * * [simplify]: Extracting #9: cost 0 inf + 1782 26.776 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 26.776 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (fabs (cbrt (+ (* a a) (* b b)))) (* (sqrt (cbrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))))) 1)) 26.777 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 26.777 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 26.777 * * [simplify]: iters left: 6 (7 enodes) 26.780 * * [simplify]: iters left: 5 (22 enodes) 26.787 * * [simplify]: Extracting #0: cost 1 inf + 0 26.787 * * [simplify]: Extracting #1: cost 3 inf + 0 26.787 * * [simplify]: Extracting #2: cost 5 inf + 0 26.787 * * [simplify]: Extracting #3: cost 8 inf + 0 26.787 * * [simplify]: Extracting #4: cost 12 inf + 0 26.787 * * [simplify]: Extracting #5: cost 10 inf + 2 26.787 * * [simplify]: Extracting #6: cost 1 inf + 936 26.788 * * [simplify]: Extracting #7: cost 0 inf + 1138 26.788 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 26.788 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (sqrt (+ (* a a) (* b b)))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))))) 1)) 26.789 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 26.789 * [simplify]: Simplifying (sqrt 1) 26.789 * * [simplify]: iters left: 1 (2 enodes) 26.792 * * [simplify]: Extracting #0: cost 1 inf + 0 26.792 * * [simplify]: Extracting #1: cost 0 inf + 1 26.792 * [simplify]: Simplified to 1 26.792 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))))) 1)) 26.792 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 26.792 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 26.793 * * [simplify]: iters left: 6 (7 enodes) 26.796 * * [simplify]: iters left: 5 (22 enodes) 26.801 * * [simplify]: Extracting #0: cost 1 inf + 0 26.802 * * [simplify]: Extracting #1: cost 3 inf + 0 26.802 * * [simplify]: Extracting #2: cost 5 inf + 0 26.802 * * [simplify]: Extracting #3: cost 8 inf + 0 26.802 * * [simplify]: Extracting #4: cost 12 inf + 0 26.802 * * [simplify]: Extracting #5: cost 10 inf + 2 26.802 * * [simplify]: Extracting #6: cost 1 inf + 936 26.802 * * [simplify]: Extracting #7: cost 0 inf + 1138 26.803 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 26.803 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (sqrt (+ (* a a) (* b b)))) (* (sqrt (sqrt (+ (* a a) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))))) 1)) 26.803 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 26.803 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 26.804 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 26.804 * * [simplify]: iters left: 6 (11 enodes) 26.810 * * [simplify]: iters left: 5 (62 enodes) 26.827 * * [simplify]: iters left: 4 (159 enodes) 26.869 * * [simplify]: iters left: 3 (390 enodes) 27.044 * * [simplify]: Extracting #0: cost 1 inf + 0 27.044 * * [simplify]: Extracting #1: cost 11 inf + 0 27.045 * * [simplify]: Extracting #2: cost 125 inf + 0 27.047 * * [simplify]: Extracting #3: cost 202 inf + 1541 27.059 * * [simplify]: Extracting #4: cost 98 inf + 27657 27.083 * * [simplify]: Extracting #5: cost 4 inf + 60577 27.107 * * [simplify]: Extracting #6: cost 0 inf + 62508 27.137 * [simplify]: Simplified to (* (sqrt (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) 27.137 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (pow (* a a) 3) (pow (* b b) 3)))) (* (sqrt (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))) (+ (- (* (* b b) (* b b)) (* (* a a) (* b b))) (* (* a a) (* a a)))))) 1)) 27.138 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 27.138 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b))) 27.138 * * [simplify]: iters left: 6 (12 enodes) 27.141 * * [simplify]: iters left: 5 (64 enodes) 27.153 * * [simplify]: iters left: 4 (151 enodes) 27.205 * * [simplify]: iters left: 3 (312 enodes) 27.345 * * [simplify]: Extracting #0: cost 1 inf + 0 27.345 * * [simplify]: Extracting #1: cost 25 inf + 0 27.345 * * [simplify]: Extracting #2: cost 57 inf + 0 27.346 * * [simplify]: Extracting #3: cost 76 inf + 206 27.347 * * [simplify]: Extracting #4: cost 103 inf + 2603 27.355 * * [simplify]: Extracting #5: cost 43 inf + 20280 27.369 * * [simplify]: Extracting #6: cost 11 inf + 26580 27.384 * * [simplify]: Extracting #7: cost 1 inf + 28609 27.392 * * [simplify]: Extracting #8: cost 0 inf + 28861 27.399 * [simplify]: Simplified to (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) 27.399 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))))) 1)) 27.399 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 27.400 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 27.400 * * [simplify]: iters left: 6 (12 enodes) 27.403 * * [simplify]: iters left: 5 (70 enodes) 27.417 * * [simplify]: iters left: 4 (175 enodes) 27.455 * * [simplify]: iters left: 3 (405 enodes) 27.641 * * [simplify]: Extracting #0: cost 1 inf + 0 27.641 * * [simplify]: Extracting #1: cost 11 inf + 0 27.641 * * [simplify]: Extracting #2: cost 115 inf + 0 27.643 * * [simplify]: Extracting #3: cost 186 inf + 2554 27.648 * * [simplify]: Extracting #4: cost 74 inf + 26948 27.658 * * [simplify]: Extracting #5: cost 2 inf + 42336 27.668 * * [simplify]: Extracting #6: cost 0 inf + 42660 27.678 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))) 27.678 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (pow (* a a) 3) (pow (* b b) 3)))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))))) 1)) 27.679 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 27.679 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b))) 27.679 * * [simplify]: iters left: 6 (7 enodes) 27.681 * * [simplify]: iters left: 5 (27 enodes) 27.685 * * [simplify]: iters left: 4 (50 enodes) 27.694 * * [simplify]: iters left: 3 (112 enodes) 27.720 * * [simplify]: iters left: 2 (282 enodes) 27.815 * * [simplify]: Extracting #0: cost 1 inf + 0 27.816 * * [simplify]: Extracting #1: cost 50 inf + 0 27.816 * * [simplify]: Extracting #2: cost 128 inf + 0 27.818 * * [simplify]: Extracting #3: cost 126 inf + 2754 27.826 * * [simplify]: Extracting #4: cost 40 inf + 20840 27.840 * * [simplify]: Extracting #5: cost 0 inf + 30600 27.853 * [simplify]: Simplified to (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))) 27.853 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))))) 1)) 27.854 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 27.854 * [simplify]: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) 27.854 * * [simplify]: iters left: 6 (9 enodes) 27.858 * * [simplify]: iters left: 5 (49 enodes) 27.874 * * [simplify]: iters left: 4 (116 enodes) 27.910 * * [simplify]: iters left: 3 (231 enodes) 27.978 * * [simplify]: iters left: 2 (363 enodes) 28.134 * * [simplify]: Extracting #0: cost 1 inf + 0 28.134 * * [simplify]: Extracting #1: cost 20 inf + 0 28.134 * * [simplify]: Extracting #2: cost 146 inf + 0 28.136 * * [simplify]: Extracting #3: cost 200 inf + 1989 28.144 * * [simplify]: Extracting #4: cost 63 inf + 22827 28.158 * * [simplify]: Extracting #5: cost 0 inf + 34174 28.168 * * [simplify]: Extracting #6: cost 0 inf + 34134 28.175 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 28.175 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3)))) (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))))) 1)) 28.175 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 28.176 * [simplify]: Simplifying (- (* a a) (* b b)) 28.176 * * [simplify]: iters left: 4 (5 enodes) 28.177 * * [simplify]: iters left: 3 (20 enodes) 28.180 * * [simplify]: iters left: 2 (33 enodes) 28.187 * * [simplify]: iters left: 1 (50 enodes) 28.194 * * [simplify]: Extracting #0: cost 1 inf + 0 28.194 * * [simplify]: Extracting #1: cost 11 inf + 0 28.194 * * [simplify]: Extracting #2: cost 29 inf + 0 28.195 * * [simplify]: Extracting #3: cost 19 inf + 455 28.195 * * [simplify]: Extracting #4: cost 0 inf + 2130 28.196 * * [simplify]: Extracting #5: cost 0 inf + 1970 28.196 * [simplify]: Simplified to (* (+ a b) (- a b)) 28.197 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) (* (+ a b) (- a b)))) 1)) 28.197 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 28.197 * [simplify]: Simplifying (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 28.197 * * [simplify]: iters left: 6 (10 enodes) 28.200 * * [simplify]: iters left: 5 (52 enodes) 28.210 * * [simplify]: iters left: 4 (119 enodes) 28.233 * * [simplify]: iters left: 3 (234 enodes) 28.312 * * [simplify]: iters left: 2 (366 enodes) 28.447 * * [simplify]: Extracting #0: cost 1 inf + 0 28.447 * * [simplify]: Extracting #1: cost 3 inf + 0 28.447 * * [simplify]: Extracting #2: cost 22 inf + 0 28.447 * * [simplify]: Extracting #3: cost 148 inf + 0 28.449 * * [simplify]: Extracting #4: cost 202 inf + 2230 28.457 * * [simplify]: Extracting #5: cost 83 inf + 22274 28.471 * * [simplify]: Extracting #6: cost 1 inf + 35108 28.485 * * [simplify]: Extracting #7: cost 0 inf + 35040 28.499 * [simplify]: Simplified to (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))) 28.499 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b)))) (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))))) 1)) 28.499 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 28.500 * [simplify]: Simplifying (sqrt (- (* a a) (* b b))) 28.500 * * [simplify]: iters left: 5 (6 enodes) 28.502 * * [simplify]: iters left: 4 (23 enodes) 28.509 * * [simplify]: iters left: 3 (36 enodes) 28.519 * * [simplify]: iters left: 2 (53 enodes) 28.537 * * [simplify]: iters left: 1 (94 enodes) 28.570 * * [simplify]: Extracting #0: cost 1 inf + 0 28.570 * * [simplify]: Extracting #1: cost 3 inf + 0 28.570 * * [simplify]: Extracting #2: cost 32 inf + 0 28.570 * * [simplify]: Extracting #3: cost 48 inf + 0 28.571 * * [simplify]: Extracting #4: cost 42 inf + 247 28.572 * * [simplify]: Extracting #5: cost 18 inf + 3412 28.574 * * [simplify]: Extracting #6: cost 0 inf + 5728 28.579 * * [simplify]: Extracting #7: cost 0 inf + 5448 28.581 * [simplify]: Simplified to (sqrt (- (* a a) (* b b))) 28.581 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (+ (* a a) (* b b))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b)))) (sqrt (- (* a a) (* b b))))) 1)) 28.581 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 28.582 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 28.582 * * [simplify]: iters left: 6 (13 enodes) 28.589 * * [simplify]: iters left: 5 (68 enodes) 28.619 * * [simplify]: iters left: 4 (169 enodes) 28.661 * * [simplify]: iters left: 3 (344 enodes) 28.799 * * [simplify]: Extracting #0: cost 1 inf + 0 28.800 * * [simplify]: Extracting #1: cost 10 inf + 0 28.800 * * [simplify]: Extracting #2: cost 37 inf + 0 28.800 * * [simplify]: Extracting #3: cost 47 inf + 206 28.801 * * [simplify]: Extracting #4: cost 59 inf + 2592 28.804 * * [simplify]: Extracting #5: cost 92 inf + 5457 28.811 * * [simplify]: Extracting #6: cost 58 inf + 17941 28.826 * * [simplify]: Extracting #7: cost 17 inf + 30593 28.838 * * [simplify]: Extracting #8: cost 0 inf + 36343 28.850 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))))) 28.850 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b)))))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))) 1)) 28.851 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 28.851 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 28.851 * * [simplify]: iters left: 6 (12 enodes) 28.858 * * [simplify]: iters left: 5 (59 enodes) 28.872 * * [simplify]: iters left: 4 (132 enodes) 28.896 * * [simplify]: iters left: 3 (264 enodes) 28.970 * * [simplify]: iters left: 2 (473 enodes) 29.138 * * [simplify]: Extracting #0: cost 1 inf + 0 29.139 * * [simplify]: Extracting #1: cost 10 inf + 0 29.139 * * [simplify]: Extracting #2: cost 34 inf + 0 29.139 * * [simplify]: Extracting #3: cost 88 inf + 84 29.141 * * [simplify]: Extracting #4: cost 167 inf + 2192 29.149 * * [simplify]: Extracting #5: cost 119 inf + 21111 29.169 * * [simplify]: Extracting #6: cost 30 inf + 38394 29.179 * * [simplify]: Extracting #7: cost 4 inf + 45180 29.191 * * [simplify]: Extracting #8: cost 0 inf + 46359 29.205 * [simplify]: Simplified to (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 29.205 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (/ (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) (sqrt (- (* a a) (* b b))))) 1)) 29.205 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) 1))> 29.205 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 29.205 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 29.205 * [simplify]: Simplifying b 29.205 * * [simplify]: iters left: 0 (1 enodes) 29.205 * * [simplify]: Extracting #0: cost 1 inf + 0 29.205 * * [simplify]: Extracting #1: cost 0 inf + 1 29.205 * [simplify]: Simplified to b 29.205 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* b (+ (* a a) (* b b))))) 1)) 29.206 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 29.206 * [simplify]: Simplifying a 29.206 * * [simplify]: iters left: 0 (1 enodes) 29.206 * * [simplify]: Extracting #0: cost 1 inf + 0 29.206 * * [simplify]: Extracting #1: cost 0 inf + 1 29.206 * [simplify]: Simplified to a 29.206 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* a (+ (* a a) (* b b))))) 1)) 29.206 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 29.206 * [simplify]: Simplifying (* -1 a) 29.206 * * [simplify]: iters left: 2 (3 enodes) 29.207 * * [simplify]: iters left: 1 (11 enodes) 29.209 * * [simplify]: Extracting #0: cost 1 inf + 0 29.209 * * [simplify]: Extracting #1: cost 4 inf + 0 29.209 * * [simplify]: Extracting #2: cost 0 inf + 84 29.209 * [simplify]: Simplified to (- a) 29.209 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (- a) (+ (* a a) (* b b))))) 1)) 29.209 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 29.209 * [simplify]: Simplifying b 29.209 * * [simplify]: iters left: 0 (1 enodes) 29.210 * * [simplify]: Extracting #0: cost 1 inf + 0 29.210 * * [simplify]: Extracting #1: cost 0 inf + 1 29.210 * [simplify]: Simplified to b 29.210 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* b (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 29.210 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 29.210 * [simplify]: Simplifying a 29.210 * * [simplify]: iters left: 0 (1 enodes) 29.210 * * [simplify]: Extracting #0: cost 1 inf + 0 29.210 * * [simplify]: Extracting #1: cost 0 inf + 1 29.210 * [simplify]: Simplified to a 29.210 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* a (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 29.210 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 29.210 * [simplify]: Simplifying (* -1 a) 29.210 * * [simplify]: iters left: 2 (3 enodes) 29.211 * * [simplify]: iters left: 1 (11 enodes) 29.213 * * [simplify]: Extracting #0: cost 1 inf + 0 29.213 * * [simplify]: Extracting #1: cost 4 inf + 0 29.213 * * [simplify]: Extracting #2: cost 0 inf + 84 29.213 * [simplify]: Simplified to (- a) 29.213 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (- a) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 29.213 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 29.213 * [simplify]: Simplifying (+ (pow b 3) (* 3/2 (* (pow a 2) b))) 29.213 * * [simplify]: iters left: 6 (10 enodes) 29.217 * * [simplify]: iters left: 5 (46 enodes) 29.226 * * [simplify]: iters left: 4 (80 enodes) 29.248 * * [simplify]: iters left: 3 (138 enodes) 29.271 * * [simplify]: iters left: 2 (191 enodes) 29.332 * * [simplify]: iters left: 1 (289 enodes) 29.417 * * [simplify]: Extracting #0: cost 1 inf + 0 29.418 * * [simplify]: Extracting #1: cost 7 inf + 0 29.418 * * [simplify]: Extracting #2: cost 34 inf + 1 29.418 * * [simplify]: Extracting #3: cost 73 inf + 630 29.420 * * [simplify]: Extracting #4: cost 52 inf + 3927 29.423 * * [simplify]: Extracting #5: cost 26 inf + 18117 29.428 * * [simplify]: Extracting #6: cost 4 inf + 29729 29.433 * * [simplify]: Extracting #7: cost 0 inf + 31792 29.438 * [simplify]: Simplified to (* b (+ (* (* 3/2 a) a) (* b b))) 29.438 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* b (+ (* (* 3/2 a) a) (* b b))))) 1)) 29.438 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 29.438 * [simplify]: Simplifying (+ (* 3/2 (* a (pow b 2))) (pow a 3)) 29.438 * * [simplify]: iters left: 6 (10 enodes) 29.445 * * [simplify]: iters left: 5 (46 enodes) 29.461 * * [simplify]: iters left: 4 (76 enodes) 29.489 * * [simplify]: iters left: 3 (134 enodes) 29.510 * * [simplify]: iters left: 2 (199 enodes) 29.569 * * [simplify]: iters left: 1 (301 enodes) 29.650 * * [simplify]: Extracting #0: cost 1 inf + 0 29.651 * * [simplify]: Extracting #1: cost 6 inf + 0 29.651 * * [simplify]: Extracting #2: cost 33 inf + 1 29.651 * * [simplify]: Extracting #3: cost 70 inf + 546 29.653 * * [simplify]: Extracting #4: cost 44 inf + 5575 29.656 * * [simplify]: Extracting #5: cost 14 inf + 22037 29.661 * * [simplify]: Extracting #6: cost 0 inf + 29242 29.666 * [simplify]: Simplified to (* (+ (* a a) (* (* b b) 3/2)) a) 29.666 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* (+ (* a a) (* (* b b) 3/2)) a))) 1)) 29.666 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 29.666 * [simplify]: Simplifying (- (+ (* 3/2 (* a (pow b 2))) (pow a 3))) 29.666 * * [simplify]: iters left: 6 (11 enodes) 29.674 * * [simplify]: iters left: 5 (52 enodes) 29.693 * * [simplify]: iters left: 4 (108 enodes) 29.736 * * [simplify]: iters left: 3 (225 enodes) 29.797 * * [simplify]: iters left: 2 (391 enodes) 29.899 * * [simplify]: Extracting #0: cost 1 inf + 0 29.899 * * [simplify]: Extracting #1: cost 10 inf + 0 29.899 * * [simplify]: Extracting #2: cost 55 inf + 42 29.900 * * [simplify]: Extracting #3: cost 89 inf + 988 29.901 * * [simplify]: Extracting #4: cost 47 inf + 11070 29.904 * * [simplify]: Extracting #5: cost 18 inf + 20064 29.907 * * [simplify]: Extracting #6: cost 4 inf + 26415 29.913 * * [simplify]: Extracting #7: cost 0 inf + 28136 29.916 * [simplify]: Simplified to (* a (- (* -3/2 (* b b)) (* a a))) 29.916 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (sqrt (+ (* a a) (* b b))) (* a (- (* -3/2 (* b b)) (* a a))))) 1)) 29.916 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 29.916 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 29.916 * * [simplify]: iters left: 6 (12 enodes) 29.920 * * [simplify]: iters left: 5 (57 enodes) 29.940 * * [simplify]: iters left: 4 (96 enodes) 29.970 * * [simplify]: iters left: 3 (169 enodes) 30.021 * * [simplify]: iters left: 2 (239 enodes) 30.101 * * [simplify]: iters left: 1 (275 enodes) 30.182 * * [simplify]: Extracting #0: cost 1 inf + 0 30.182 * * [simplify]: Extracting #1: cost 8 inf + 0 30.183 * * [simplify]: Extracting #2: cost 40 inf + 0 30.183 * * [simplify]: Extracting #3: cost 53 inf + 168 30.184 * * [simplify]: Extracting #4: cost 28 inf + 3385 30.188 * * [simplify]: Extracting #5: cost 5 inf + 5794 30.192 * * [simplify]: Extracting #6: cost 0 inf + 6849 30.196 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 30.196 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b)))) 1)) 30.196 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 30.197 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 30.197 * * [simplify]: iters left: 6 (12 enodes) 30.203 * * [simplify]: iters left: 5 (57 enodes) 30.212 * * [simplify]: iters left: 4 (96 enodes) 30.228 * * [simplify]: iters left: 3 (169 enodes) 30.275 * * [simplify]: iters left: 2 (236 enodes) 30.318 * * [simplify]: iters left: 1 (270 enodes) 30.368 * * [simplify]: Extracting #0: cost 1 inf + 0 30.368 * * [simplify]: Extracting #1: cost 8 inf + 0 30.368 * * [simplify]: Extracting #2: cost 39 inf + 0 30.369 * * [simplify]: Extracting #3: cost 54 inf + 4 30.369 * * [simplify]: Extracting #4: cost 40 inf + 2137 30.371 * * [simplify]: Extracting #5: cost 4 inf + 6453 30.373 * * [simplify]: Extracting #6: cost 0 inf + 6723 30.374 * * [simplify]: Extracting #7: cost 0 inf + 6603 30.376 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 30.376 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 30.376 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 30.377 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 30.377 * * [simplify]: iters left: 6 (12 enodes) 30.381 * * [simplify]: iters left: 5 (57 enodes) 30.400 * * [simplify]: iters left: 4 (96 enodes) 30.416 * * [simplify]: iters left: 3 (169 enodes) 30.457 * * [simplify]: iters left: 2 (236 enodes) 30.501 * * [simplify]: iters left: 1 (270 enodes) 30.562 * * [simplify]: Extracting #0: cost 1 inf + 0 30.562 * * [simplify]: Extracting #1: cost 8 inf + 0 30.562 * * [simplify]: Extracting #2: cost 39 inf + 0 30.562 * * [simplify]: Extracting #3: cost 54 inf + 4 30.562 * * [simplify]: Extracting #4: cost 40 inf + 2137 30.564 * * [simplify]: Extracting #5: cost 4 inf + 6453 30.566 * * [simplify]: Extracting #6: cost 0 inf + 6723 30.568 * * [simplify]: Extracting #7: cost 0 inf + 6603 30.570 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 30.570 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 30.571 * * * [progress]: adding candidates to table 32.220 * * [progress]: iteration 3 / 4 32.220 * * * [progress]: picking best candidate 32.226 * * * * [pick]: Picked # 32.226 * * * [progress]: localizing error 32.272 * * * [progress]: generating rewritten candidates 32.272 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 32.289 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 32.304 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 32.311 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 32.356 * * * [progress]: generating series expansions 32.356 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 32.356 * [backup-simplify]: Simplify (sqrt (+ (* a a) (* b b))) into (sqrt (+ (pow a 2) (pow b 2))) 32.356 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in (a b) around 0 32.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 32.356 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 32.356 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.356 * [taylor]: Taking taylor expansion of a in b 32.356 * [backup-simplify]: Simplify a into a 32.356 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.357 * [taylor]: Taking taylor expansion of b in b 32.357 * [backup-simplify]: Simplify 0 into 0 32.357 * [backup-simplify]: Simplify 1 into 1 32.357 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.357 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 32.357 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 32.357 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 32.357 * [backup-simplify]: Simplify (+ 0 0) into 0 32.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 32.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 32.357 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 32.357 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.357 * [taylor]: Taking taylor expansion of a in a 32.357 * [backup-simplify]: Simplify 0 into 0 32.357 * [backup-simplify]: Simplify 1 into 1 32.357 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.357 * [taylor]: Taking taylor expansion of b in a 32.357 * [backup-simplify]: Simplify b into b 32.358 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.358 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 32.358 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 32.358 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.358 * [backup-simplify]: Simplify (+ 0 0) into 0 32.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 32.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 32.358 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 32.358 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.358 * [taylor]: Taking taylor expansion of a in a 32.358 * [backup-simplify]: Simplify 0 into 0 32.358 * [backup-simplify]: Simplify 1 into 1 32.358 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.358 * [taylor]: Taking taylor expansion of b in a 32.358 * [backup-simplify]: Simplify b into b 32.358 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.358 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 32.358 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 32.358 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.359 * [backup-simplify]: Simplify (+ 0 0) into 0 32.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 32.359 * [taylor]: Taking taylor expansion of b in b 32.359 * [backup-simplify]: Simplify 0 into 0 32.359 * [backup-simplify]: Simplify 1 into 1 32.359 * [backup-simplify]: Simplify 0 into 0 32.359 * [taylor]: Taking taylor expansion of 0 in b 32.359 * [backup-simplify]: Simplify 0 into 0 32.359 * [backup-simplify]: Simplify 0 into 0 32.359 * [backup-simplify]: Simplify 1 into 1 32.359 * [backup-simplify]: Simplify (* 1 1) into 1 32.359 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 32.360 * [backup-simplify]: Simplify (+ 1 0) into 1 32.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 32.360 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 32.360 * [taylor]: Taking taylor expansion of 1/2 in b 32.360 * [backup-simplify]: Simplify 1/2 into 1/2 32.360 * [taylor]: Taking taylor expansion of b in b 32.360 * [backup-simplify]: Simplify 0 into 0 32.360 * [backup-simplify]: Simplify 1 into 1 32.361 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 32.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 32.363 * [backup-simplify]: Simplify 0 into 0 32.363 * [backup-simplify]: Simplify 0 into 0 32.363 * [backup-simplify]: Simplify 0 into 0 32.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.364 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 32.364 * [backup-simplify]: Simplify (+ 0 0) into 0 32.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 32.364 * [taylor]: Taking taylor expansion of 0 in b 32.364 * [backup-simplify]: Simplify 0 into 0 32.364 * [backup-simplify]: Simplify 0 into 0 32.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.365 * [backup-simplify]: Simplify 0 into 0 32.365 * [backup-simplify]: Simplify 0 into 0 32.365 * [backup-simplify]: Simplify (* 1 (* b 1)) into b 32.365 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 32.365 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 32.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 32.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.365 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.365 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.365 * [taylor]: Taking taylor expansion of a in b 32.365 * [backup-simplify]: Simplify a into a 32.365 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.365 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.365 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.365 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.365 * [taylor]: Taking taylor expansion of b in b 32.365 * [backup-simplify]: Simplify 0 into 0 32.365 * [backup-simplify]: Simplify 1 into 1 32.366 * [backup-simplify]: Simplify (* 1 1) into 1 32.366 * [backup-simplify]: Simplify (/ 1 1) into 1 32.366 * [backup-simplify]: Simplify (+ 0 1) into 1 32.366 * [backup-simplify]: Simplify (sqrt 1) into 1 32.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.367 * [backup-simplify]: Simplify (+ 0 0) into 0 32.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.368 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.368 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.368 * [taylor]: Taking taylor expansion of a in a 32.368 * [backup-simplify]: Simplify 0 into 0 32.368 * [backup-simplify]: Simplify 1 into 1 32.368 * [backup-simplify]: Simplify (* 1 1) into 1 32.369 * [backup-simplify]: Simplify (/ 1 1) into 1 32.369 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.369 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.369 * [taylor]: Taking taylor expansion of b in a 32.369 * [backup-simplify]: Simplify b into b 32.369 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.369 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.369 * [backup-simplify]: Simplify (+ 1 0) into 1 32.370 * [backup-simplify]: Simplify (sqrt 1) into 1 32.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.371 * [backup-simplify]: Simplify (+ 0 0) into 0 32.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.372 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.372 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.372 * [taylor]: Taking taylor expansion of a in a 32.372 * [backup-simplify]: Simplify 0 into 0 32.372 * [backup-simplify]: Simplify 1 into 1 32.372 * [backup-simplify]: Simplify (* 1 1) into 1 32.372 * [backup-simplify]: Simplify (/ 1 1) into 1 32.372 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.372 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.372 * [taylor]: Taking taylor expansion of b in a 32.372 * [backup-simplify]: Simplify b into b 32.372 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.372 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.373 * [backup-simplify]: Simplify (+ 1 0) into 1 32.373 * [backup-simplify]: Simplify (sqrt 1) into 1 32.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.374 * [backup-simplify]: Simplify (+ 0 0) into 0 32.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.374 * [taylor]: Taking taylor expansion of 1 in b 32.374 * [backup-simplify]: Simplify 1 into 1 32.374 * [taylor]: Taking taylor expansion of 0 in b 32.374 * [backup-simplify]: Simplify 0 into 0 32.374 * [backup-simplify]: Simplify 1 into 1 32.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.376 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 32.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 32.376 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 32.376 * [taylor]: Taking taylor expansion of 1/2 in b 32.376 * [backup-simplify]: Simplify 1/2 into 1/2 32.376 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.376 * [taylor]: Taking taylor expansion of b in b 32.376 * [backup-simplify]: Simplify 0 into 0 32.376 * [backup-simplify]: Simplify 1 into 1 32.377 * [backup-simplify]: Simplify (* 1 1) into 1 32.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 32.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 32.378 * [backup-simplify]: Simplify 0 into 0 32.378 * [backup-simplify]: Simplify 0 into 0 32.378 * [backup-simplify]: Simplify 0 into 0 32.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.379 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 32.379 * [backup-simplify]: Simplify (+ 0 0) into 0 32.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 32.380 * [taylor]: Taking taylor expansion of 0 in b 32.380 * [backup-simplify]: Simplify 0 into 0 32.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.381 * [backup-simplify]: Simplify 0 into 0 32.381 * [backup-simplify]: Simplify 0 into 0 32.381 * [backup-simplify]: Simplify 0 into 0 32.381 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a)))) into a 32.381 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 32.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 32.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 32.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.381 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.381 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.381 * [taylor]: Taking taylor expansion of a in b 32.381 * [backup-simplify]: Simplify a into a 32.381 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.381 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.381 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.381 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.382 * [taylor]: Taking taylor expansion of b in b 32.382 * [backup-simplify]: Simplify 0 into 0 32.382 * [backup-simplify]: Simplify 1 into 1 32.382 * [backup-simplify]: Simplify (* 1 1) into 1 32.382 * [backup-simplify]: Simplify (/ 1 1) into 1 32.382 * [backup-simplify]: Simplify (+ 0 1) into 1 32.382 * [backup-simplify]: Simplify (sqrt 1) into 1 32.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.384 * [backup-simplify]: Simplify (+ 0 0) into 0 32.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.384 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.384 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.384 * [taylor]: Taking taylor expansion of a in a 32.384 * [backup-simplify]: Simplify 0 into 0 32.384 * [backup-simplify]: Simplify 1 into 1 32.384 * [backup-simplify]: Simplify (* 1 1) into 1 32.385 * [backup-simplify]: Simplify (/ 1 1) into 1 32.385 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.385 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.385 * [taylor]: Taking taylor expansion of b in a 32.385 * [backup-simplify]: Simplify b into b 32.385 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.385 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.385 * [backup-simplify]: Simplify (+ 1 0) into 1 32.386 * [backup-simplify]: Simplify (sqrt 1) into 1 32.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.387 * [backup-simplify]: Simplify (+ 0 0) into 0 32.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.388 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.388 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.388 * [taylor]: Taking taylor expansion of a in a 32.388 * [backup-simplify]: Simplify 0 into 0 32.388 * [backup-simplify]: Simplify 1 into 1 32.389 * [backup-simplify]: Simplify (* 1 1) into 1 32.389 * [backup-simplify]: Simplify (/ 1 1) into 1 32.389 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.389 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.389 * [taylor]: Taking taylor expansion of b in a 32.389 * [backup-simplify]: Simplify b into b 32.389 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.389 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.390 * [backup-simplify]: Simplify (+ 1 0) into 1 32.390 * [backup-simplify]: Simplify (sqrt 1) into 1 32.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.392 * [backup-simplify]: Simplify (+ 0 0) into 0 32.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.393 * [taylor]: Taking taylor expansion of 1 in b 32.393 * [backup-simplify]: Simplify 1 into 1 32.393 * [taylor]: Taking taylor expansion of 0 in b 32.393 * [backup-simplify]: Simplify 0 into 0 32.393 * [backup-simplify]: Simplify 1 into 1 32.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.395 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 32.396 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 32.396 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 32.396 * [taylor]: Taking taylor expansion of 1/2 in b 32.396 * [backup-simplify]: Simplify 1/2 into 1/2 32.396 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.396 * [taylor]: Taking taylor expansion of b in b 32.396 * [backup-simplify]: Simplify 0 into 0 32.396 * [backup-simplify]: Simplify 1 into 1 32.397 * [backup-simplify]: Simplify (* 1 1) into 1 32.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 32.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 32.398 * [backup-simplify]: Simplify 0 into 0 32.399 * [backup-simplify]: Simplify 0 into 0 32.399 * [backup-simplify]: Simplify 0 into 0 32.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.401 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 32.402 * [backup-simplify]: Simplify (+ 0 0) into 0 32.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 32.402 * [taylor]: Taking taylor expansion of 0 in b 32.402 * [backup-simplify]: Simplify 0 into 0 32.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.404 * [backup-simplify]: Simplify 0 into 0 32.404 * [backup-simplify]: Simplify 0 into 0 32.404 * [backup-simplify]: Simplify 0 into 0 32.404 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a))))) into (* -1 a) 32.405 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 32.405 * [backup-simplify]: Simplify (* (* b b) 4) into (* 4 (pow b 2)) 32.405 * [approximate]: Taking taylor expansion of (* 4 (pow b 2)) in (b) around 0 32.405 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 32.405 * [taylor]: Taking taylor expansion of 4 in b 32.405 * [backup-simplify]: Simplify 4 into 4 32.405 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.405 * [taylor]: Taking taylor expansion of b in b 32.405 * [backup-simplify]: Simplify 0 into 0 32.405 * [backup-simplify]: Simplify 1 into 1 32.405 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 32.405 * [taylor]: Taking taylor expansion of 4 in b 32.405 * [backup-simplify]: Simplify 4 into 4 32.405 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.405 * [taylor]: Taking taylor expansion of b in b 32.405 * [backup-simplify]: Simplify 0 into 0 32.405 * [backup-simplify]: Simplify 1 into 1 32.406 * [backup-simplify]: Simplify (* 1 1) into 1 32.406 * [backup-simplify]: Simplify (* 4 1) into 4 32.406 * [backup-simplify]: Simplify 4 into 4 32.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.407 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 32.408 * [backup-simplify]: Simplify 0 into 0 32.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.409 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 32.409 * [backup-simplify]: Simplify 0 into 0 32.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.412 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.412 * [backup-simplify]: Simplify 0 into 0 32.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.414 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.414 * [backup-simplify]: Simplify 0 into 0 32.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 32.417 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 32.418 * [backup-simplify]: Simplify 0 into 0 32.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 32.421 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 32.421 * [backup-simplify]: Simplify 0 into 0 32.421 * [backup-simplify]: Simplify (* 4 (pow b 2)) into (* 4 (pow b 2)) 32.421 * [backup-simplify]: Simplify (* (* (/ 1 b) (/ 1 b)) 4) into (/ 4 (pow b 2)) 32.421 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 32.421 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 32.421 * [taylor]: Taking taylor expansion of 4 in b 32.421 * [backup-simplify]: Simplify 4 into 4 32.421 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.421 * [taylor]: Taking taylor expansion of b in b 32.421 * [backup-simplify]: Simplify 0 into 0 32.421 * [backup-simplify]: Simplify 1 into 1 32.422 * [backup-simplify]: Simplify (* 1 1) into 1 32.422 * [backup-simplify]: Simplify (/ 4 1) into 4 32.422 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 32.422 * [taylor]: Taking taylor expansion of 4 in b 32.422 * [backup-simplify]: Simplify 4 into 4 32.422 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.422 * [taylor]: Taking taylor expansion of b in b 32.422 * [backup-simplify]: Simplify 0 into 0 32.422 * [backup-simplify]: Simplify 1 into 1 32.423 * [backup-simplify]: Simplify (* 1 1) into 1 32.423 * [backup-simplify]: Simplify (/ 4 1) into 4 32.423 * [backup-simplify]: Simplify 4 into 4 32.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 32.425 * [backup-simplify]: Simplify 0 into 0 32.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.427 * [backup-simplify]: Simplify 0 into 0 32.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.429 * [backup-simplify]: Simplify 0 into 0 32.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.431 * [backup-simplify]: Simplify 0 into 0 32.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 32.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.434 * [backup-simplify]: Simplify 0 into 0 32.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 32.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.436 * [backup-simplify]: Simplify 0 into 0 32.436 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 b)) 2)) into (* 4 (pow b 2)) 32.437 * [backup-simplify]: Simplify (* (* (/ 1 (- b)) (/ 1 (- b))) 4) into (/ 4 (pow b 2)) 32.437 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 32.437 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 32.437 * [taylor]: Taking taylor expansion of 4 in b 32.437 * [backup-simplify]: Simplify 4 into 4 32.437 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.437 * [taylor]: Taking taylor expansion of b in b 32.437 * [backup-simplify]: Simplify 0 into 0 32.437 * [backup-simplify]: Simplify 1 into 1 32.437 * [backup-simplify]: Simplify (* 1 1) into 1 32.438 * [backup-simplify]: Simplify (/ 4 1) into 4 32.438 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 32.438 * [taylor]: Taking taylor expansion of 4 in b 32.438 * [backup-simplify]: Simplify 4 into 4 32.438 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.438 * [taylor]: Taking taylor expansion of b in b 32.438 * [backup-simplify]: Simplify 0 into 0 32.438 * [backup-simplify]: Simplify 1 into 1 32.438 * [backup-simplify]: Simplify (* 1 1) into 1 32.439 * [backup-simplify]: Simplify (/ 4 1) into 4 32.439 * [backup-simplify]: Simplify 4 into 4 32.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 32.440 * [backup-simplify]: Simplify 0 into 0 32.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.442 * [backup-simplify]: Simplify 0 into 0 32.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.444 * [backup-simplify]: Simplify 0 into 0 32.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.447 * [backup-simplify]: Simplify 0 into 0 32.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 32.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.449 * [backup-simplify]: Simplify 0 into 0 32.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 32.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.452 * [backup-simplify]: Simplify 0 into 0 32.452 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- b))) 2)) into (* 4 (pow b 2)) 32.452 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 32.452 * [backup-simplify]: Simplify (pow (sqrt (+ (* a a) (* b b))) 4) into (pow (sqrt (+ (pow a 2) (pow b 2))) 4) 32.452 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in (a b) around 0 32.452 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in b 32.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 32.452 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 32.452 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.452 * [taylor]: Taking taylor expansion of a in b 32.453 * [backup-simplify]: Simplify a into a 32.453 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.453 * [taylor]: Taking taylor expansion of b in b 32.453 * [backup-simplify]: Simplify 0 into 0 32.453 * [backup-simplify]: Simplify 1 into 1 32.453 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.453 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 32.453 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 32.453 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 32.453 * [backup-simplify]: Simplify (+ 0 0) into 0 32.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 32.454 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in a 32.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 32.454 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 32.454 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.454 * [taylor]: Taking taylor expansion of a in a 32.454 * [backup-simplify]: Simplify 0 into 0 32.454 * [backup-simplify]: Simplify 1 into 1 32.454 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.454 * [taylor]: Taking taylor expansion of b in a 32.454 * [backup-simplify]: Simplify b into b 32.454 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.454 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 32.454 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 32.454 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.454 * [backup-simplify]: Simplify (+ 0 0) into 0 32.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 32.455 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in a 32.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 32.455 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 32.455 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.455 * [taylor]: Taking taylor expansion of a in a 32.455 * [backup-simplify]: Simplify 0 into 0 32.455 * [backup-simplify]: Simplify 1 into 1 32.455 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.455 * [taylor]: Taking taylor expansion of b in a 32.455 * [backup-simplify]: Simplify b into b 32.455 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.455 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 32.455 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 32.455 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.456 * [backup-simplify]: Simplify (+ 0 0) into 0 32.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 32.456 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.456 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 32.456 * [taylor]: Taking taylor expansion of (pow b 4) in b 32.456 * [taylor]: Taking taylor expansion of b in b 32.456 * [backup-simplify]: Simplify 0 into 0 32.456 * [backup-simplify]: Simplify 1 into 1 32.456 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.456 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 32.456 * [taylor]: Taking taylor expansion of 0 in b 32.456 * [backup-simplify]: Simplify 0 into 0 32.456 * [backup-simplify]: Simplify 0 into 0 32.457 * [backup-simplify]: Simplify (* 1 1) into 1 32.457 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 32.458 * [backup-simplify]: Simplify (+ 1 0) into 1 32.458 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 32.459 * [backup-simplify]: Simplify (+ (* b (/ 1/2 b)) (+ (* 0 0) (* (/ 1/2 b) b))) into 1 32.460 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 32.460 * [taylor]: Taking taylor expansion of (* 2 (pow b 2)) in b 32.460 * [taylor]: Taking taylor expansion of 2 in b 32.460 * [backup-simplify]: Simplify 2 into 2 32.460 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.460 * [taylor]: Taking taylor expansion of b in b 32.460 * [backup-simplify]: Simplify 0 into 0 32.460 * [backup-simplify]: Simplify 1 into 1 32.460 * [backup-simplify]: Simplify 0 into 0 32.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.461 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 32.461 * [backup-simplify]: Simplify (+ 0 0) into 0 32.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 32.462 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (/ 1/2 b)) (+ (* (/ 1/2 b) 0) (* 0 b)))) into 0 32.462 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 32.462 * [taylor]: Taking taylor expansion of 0 in b 32.462 * [backup-simplify]: Simplify 0 into 0 32.462 * [backup-simplify]: Simplify 0 into 0 32.462 * [backup-simplify]: Simplify 0 into 0 32.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.464 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 32.464 * [backup-simplify]: Simplify (+ 0 0) into 0 32.464 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 b) 2) (+ (* 2 (* 0 0)))) (* 2 b)) into (/ -1/8 (pow b 3)) 32.465 * [backup-simplify]: Simplify (+ (* b (/ -1/8 (pow b 3))) (+ (* 0 0) (+ (* (/ 1/2 b) (/ 1/2 b)) (+ (* 0 0) (* (/ -1/8 (pow b 3)) b))))) into 0 32.466 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 32.466 * [taylor]: Taking taylor expansion of 1 in b 32.466 * [backup-simplify]: Simplify 1 into 1 32.466 * [backup-simplify]: Simplify 1 into 1 32.466 * [backup-simplify]: Simplify 0 into 0 32.466 * [backup-simplify]: Simplify (* 1 1) into 1 32.466 * [backup-simplify]: Simplify (* 2 1) into 2 32.467 * [backup-simplify]: Simplify 2 into 2 32.467 * [backup-simplify]: Simplify 0 into 0 32.467 * [backup-simplify]: Simplify (* 1 1) into 1 32.467 * [backup-simplify]: Simplify (* 1 1) into 1 32.467 * [backup-simplify]: Simplify 1 into 1 32.467 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 32.468 * [backup-simplify]: Simplify (pow (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) 4) into (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) 32.468 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in (a b) around 0 32.468 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in b 32.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 32.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.468 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.468 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.468 * [taylor]: Taking taylor expansion of a in b 32.468 * [backup-simplify]: Simplify a into a 32.468 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.468 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.468 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.468 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.468 * [taylor]: Taking taylor expansion of b in b 32.468 * [backup-simplify]: Simplify 0 into 0 32.468 * [backup-simplify]: Simplify 1 into 1 32.468 * [backup-simplify]: Simplify (* 1 1) into 1 32.468 * [backup-simplify]: Simplify (/ 1 1) into 1 32.469 * [backup-simplify]: Simplify (+ 0 1) into 1 32.469 * [backup-simplify]: Simplify (sqrt 1) into 1 32.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.470 * [backup-simplify]: Simplify (+ 0 0) into 0 32.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.470 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 32.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.470 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.470 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.470 * [taylor]: Taking taylor expansion of a in a 32.470 * [backup-simplify]: Simplify 0 into 0 32.470 * [backup-simplify]: Simplify 1 into 1 32.471 * [backup-simplify]: Simplify (* 1 1) into 1 32.471 * [backup-simplify]: Simplify (/ 1 1) into 1 32.471 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.471 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.471 * [taylor]: Taking taylor expansion of b in a 32.471 * [backup-simplify]: Simplify b into b 32.471 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.471 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.471 * [backup-simplify]: Simplify (+ 1 0) into 1 32.472 * [backup-simplify]: Simplify (sqrt 1) into 1 32.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.473 * [backup-simplify]: Simplify (+ 0 0) into 0 32.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.473 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 32.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.473 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.473 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.473 * [taylor]: Taking taylor expansion of a in a 32.473 * [backup-simplify]: Simplify 0 into 0 32.473 * [backup-simplify]: Simplify 1 into 1 32.473 * [backup-simplify]: Simplify (* 1 1) into 1 32.474 * [backup-simplify]: Simplify (/ 1 1) into 1 32.474 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.474 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.474 * [taylor]: Taking taylor expansion of b in a 32.474 * [backup-simplify]: Simplify b into b 32.474 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.474 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.474 * [backup-simplify]: Simplify (+ 1 0) into 1 32.474 * [backup-simplify]: Simplify (sqrt 1) into 1 32.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.475 * [backup-simplify]: Simplify (+ 0 0) into 0 32.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.476 * [backup-simplify]: Simplify (* 1 1) into 1 32.476 * [backup-simplify]: Simplify (* 1 1) into 1 32.476 * [taylor]: Taking taylor expansion of 1 in b 32.476 * [backup-simplify]: Simplify 1 into 1 32.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.477 * [taylor]: Taking taylor expansion of 0 in b 32.477 * [backup-simplify]: Simplify 0 into 0 32.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.478 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 32.479 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 32.479 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow b 2))) (+ (* 0 0) (* (/ 1/2 (pow b 2)) 1))) into (/ 1 (pow b 2)) 32.481 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 32.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 32.481 * [taylor]: Taking taylor expansion of 2 in b 32.481 * [backup-simplify]: Simplify 2 into 2 32.481 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.481 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.481 * [taylor]: Taking taylor expansion of b in b 32.481 * [backup-simplify]: Simplify 0 into 0 32.481 * [backup-simplify]: Simplify 1 into 1 32.482 * [backup-simplify]: Simplify (* 1 1) into 1 32.482 * [backup-simplify]: Simplify (/ 1 1) into 1 32.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.483 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 32.483 * [backup-simplify]: Simplify (+ 0 0) into 0 32.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 32.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow b 2))) (+ (* (/ 1/2 (pow b 2)) 0) (* 0 1)))) into 0 32.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 32.485 * [taylor]: Taking taylor expansion of 0 in b 32.485 * [backup-simplify]: Simplify 0 into 0 32.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.486 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 32.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 32.487 * [backup-simplify]: Simplify (+ 0 0) into 0 32.488 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow b 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow b 4)) 32.488 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow b 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow b 2)) (/ 1/2 (pow b 2))) (+ (* 0 0) (* (/ -1/8 (pow b 4)) 1))))) into 0 32.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 32.489 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 32.489 * [taylor]: Taking taylor expansion of (pow b 4) in b 32.489 * [taylor]: Taking taylor expansion of b in b 32.489 * [backup-simplify]: Simplify 0 into 0 32.489 * [backup-simplify]: Simplify 1 into 1 32.490 * [backup-simplify]: Simplify (* 1 1) into 1 32.490 * [backup-simplify]: Simplify (* 1 1) into 1 32.490 * [backup-simplify]: Simplify (/ 1 1) into 1 32.490 * [backup-simplify]: Simplify 1 into 1 32.490 * [backup-simplify]: Simplify (* 2 1) into 2 32.490 * [backup-simplify]: Simplify 2 into 2 32.490 * [backup-simplify]: Simplify 1 into 1 32.491 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 32.491 * [backup-simplify]: Simplify (pow (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) 4) into (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) 32.491 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in (a b) around 0 32.491 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in b 32.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 32.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.491 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.491 * [taylor]: Taking taylor expansion of a in b 32.491 * [backup-simplify]: Simplify a into a 32.491 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.491 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.491 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.491 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.491 * [taylor]: Taking taylor expansion of b in b 32.491 * [backup-simplify]: Simplify 0 into 0 32.491 * [backup-simplify]: Simplify 1 into 1 32.492 * [backup-simplify]: Simplify (* 1 1) into 1 32.492 * [backup-simplify]: Simplify (/ 1 1) into 1 32.492 * [backup-simplify]: Simplify (+ 0 1) into 1 32.492 * [backup-simplify]: Simplify (sqrt 1) into 1 32.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.493 * [backup-simplify]: Simplify (+ 0 0) into 0 32.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.494 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 32.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.494 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.494 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.494 * [taylor]: Taking taylor expansion of a in a 32.494 * [backup-simplify]: Simplify 0 into 0 32.494 * [backup-simplify]: Simplify 1 into 1 32.494 * [backup-simplify]: Simplify (* 1 1) into 1 32.494 * [backup-simplify]: Simplify (/ 1 1) into 1 32.494 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.494 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.494 * [taylor]: Taking taylor expansion of b in a 32.494 * [backup-simplify]: Simplify b into b 32.494 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.495 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.495 * [backup-simplify]: Simplify (+ 1 0) into 1 32.495 * [backup-simplify]: Simplify (sqrt 1) into 1 32.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.496 * [backup-simplify]: Simplify (+ 0 0) into 0 32.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.496 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 32.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 32.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.497 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.497 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.497 * [taylor]: Taking taylor expansion of a in a 32.497 * [backup-simplify]: Simplify 0 into 0 32.497 * [backup-simplify]: Simplify 1 into 1 32.497 * [backup-simplify]: Simplify (* 1 1) into 1 32.497 * [backup-simplify]: Simplify (/ 1 1) into 1 32.497 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.497 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.497 * [taylor]: Taking taylor expansion of b in a 32.497 * [backup-simplify]: Simplify b into b 32.497 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.497 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.498 * [backup-simplify]: Simplify (+ 1 0) into 1 32.498 * [backup-simplify]: Simplify (sqrt 1) into 1 32.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.499 * [backup-simplify]: Simplify (+ 0 0) into 0 32.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.500 * [backup-simplify]: Simplify (* 1 1) into 1 32.500 * [backup-simplify]: Simplify (* 1 1) into 1 32.500 * [taylor]: Taking taylor expansion of 1 in b 32.500 * [backup-simplify]: Simplify 1 into 1 32.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.501 * [taylor]: Taking taylor expansion of 0 in b 32.501 * [backup-simplify]: Simplify 0 into 0 32.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.502 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 32.503 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 32.503 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow b 2))) (+ (* 0 0) (* (/ 1/2 (pow b 2)) 1))) into (/ 1 (pow b 2)) 32.504 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 32.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 32.504 * [taylor]: Taking taylor expansion of 2 in b 32.504 * [backup-simplify]: Simplify 2 into 2 32.504 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.504 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.504 * [taylor]: Taking taylor expansion of b in b 32.504 * [backup-simplify]: Simplify 0 into 0 32.504 * [backup-simplify]: Simplify 1 into 1 32.504 * [backup-simplify]: Simplify (* 1 1) into 1 32.504 * [backup-simplify]: Simplify (/ 1 1) into 1 32.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.506 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 32.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 32.507 * [backup-simplify]: Simplify (+ 0 0) into 0 32.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 32.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow b 2))) (+ (* (/ 1/2 (pow b 2)) 0) (* 0 1)))) into 0 32.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 32.509 * [taylor]: Taking taylor expansion of 0 in b 32.509 * [backup-simplify]: Simplify 0 into 0 32.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.513 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 32.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 32.513 * [backup-simplify]: Simplify (+ 0 0) into 0 32.514 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow b 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow b 4)) 32.516 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow b 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow b 2)) (/ 1/2 (pow b 2))) (+ (* 0 0) (* (/ -1/8 (pow b 4)) 1))))) into 0 32.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 32.517 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 32.517 * [taylor]: Taking taylor expansion of (pow b 4) in b 32.517 * [taylor]: Taking taylor expansion of b in b 32.517 * [backup-simplify]: Simplify 0 into 0 32.517 * [backup-simplify]: Simplify 1 into 1 32.518 * [backup-simplify]: Simplify (* 1 1) into 1 32.518 * [backup-simplify]: Simplify (* 1 1) into 1 32.519 * [backup-simplify]: Simplify (/ 1 1) into 1 32.519 * [backup-simplify]: Simplify 1 into 1 32.519 * [backup-simplify]: Simplify (* 2 1) into 2 32.519 * [backup-simplify]: Simplify 2 into 2 32.519 * [backup-simplify]: Simplify 1 into 1 32.520 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 32.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 32.520 * [backup-simplify]: Simplify (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) into (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) 32.520 * [approximate]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in (b a) around 0 32.521 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in a 32.521 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in a 32.521 * [taylor]: Taking taylor expansion of 4 in a 32.521 * [backup-simplify]: Simplify 4 into 4 32.521 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.521 * [taylor]: Taking taylor expansion of b in a 32.521 * [backup-simplify]: Simplify b into b 32.521 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 32.521 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 32.521 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.521 * [taylor]: Taking taylor expansion of a in a 32.521 * [backup-simplify]: Simplify 0 into 0 32.521 * [backup-simplify]: Simplify 1 into 1 32.521 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.521 * [taylor]: Taking taylor expansion of b in a 32.521 * [backup-simplify]: Simplify b into b 32.521 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.521 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 32.521 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in b 32.521 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 32.521 * [taylor]: Taking taylor expansion of 4 in b 32.521 * [backup-simplify]: Simplify 4 into 4 32.521 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.521 * [taylor]: Taking taylor expansion of b in b 32.521 * [backup-simplify]: Simplify 0 into 0 32.521 * [backup-simplify]: Simplify 1 into 1 32.521 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 32.521 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 32.521 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.521 * [taylor]: Taking taylor expansion of a in b 32.521 * [backup-simplify]: Simplify a into a 32.521 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.522 * [taylor]: Taking taylor expansion of b in b 32.522 * [backup-simplify]: Simplify 0 into 0 32.522 * [backup-simplify]: Simplify 1 into 1 32.522 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.522 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 32.522 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in b 32.522 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 32.522 * [taylor]: Taking taylor expansion of 4 in b 32.522 * [backup-simplify]: Simplify 4 into 4 32.522 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.522 * [taylor]: Taking taylor expansion of b in b 32.522 * [backup-simplify]: Simplify 0 into 0 32.522 * [backup-simplify]: Simplify 1 into 1 32.522 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 32.522 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 32.522 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.522 * [taylor]: Taking taylor expansion of a in b 32.522 * [backup-simplify]: Simplify a into a 32.522 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.522 * [taylor]: Taking taylor expansion of b in b 32.522 * [backup-simplify]: Simplify 0 into 0 32.522 * [backup-simplify]: Simplify 1 into 1 32.522 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.523 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 32.523 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 32.523 * [backup-simplify]: Simplify (+ 0 (pow a 4)) into (pow a 4) 32.523 * [taylor]: Taking taylor expansion of (pow a 4) in a 32.523 * [taylor]: Taking taylor expansion of a in a 32.523 * [backup-simplify]: Simplify 0 into 0 32.523 * [backup-simplify]: Simplify 1 into 1 32.523 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 32.524 * [backup-simplify]: Simplify (+ 0 0) into 0 32.524 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 32.524 * [backup-simplify]: Simplify (+ 0 0) into 0 32.524 * [taylor]: Taking taylor expansion of 0 in a 32.524 * [backup-simplify]: Simplify 0 into 0 32.524 * [backup-simplify]: Simplify 0 into 0 32.525 * [backup-simplify]: Simplify (* 1 1) into 1 32.525 * [backup-simplify]: Simplify (* 4 1) into 4 32.525 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 32.526 * [backup-simplify]: Simplify (* 1 1) into 1 32.526 * [backup-simplify]: Simplify (+ 0 1) into 1 32.527 * [backup-simplify]: Simplify (+ (* (pow a 2) 1) (+ (* 0 0) (* 1 (pow a 2)))) into (* 2 (pow a 2)) 32.527 * [backup-simplify]: Simplify (+ 4 (* 2 (pow a 2))) into (+ (* 2 (pow a 2)) 4) 32.527 * [taylor]: Taking taylor expansion of (+ (* 2 (pow a 2)) 4) in a 32.527 * [taylor]: Taking taylor expansion of (* 2 (pow a 2)) in a 32.527 * [taylor]: Taking taylor expansion of 2 in a 32.527 * [backup-simplify]: Simplify 2 into 2 32.527 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.527 * [taylor]: Taking taylor expansion of a in a 32.527 * [backup-simplify]: Simplify 0 into 0 32.527 * [backup-simplify]: Simplify 1 into 1 32.527 * [taylor]: Taking taylor expansion of 4 in a 32.527 * [backup-simplify]: Simplify 4 into 4 32.528 * [backup-simplify]: Simplify (+ 0 4) into 4 32.528 * [backup-simplify]: Simplify 4 into 4 32.528 * [backup-simplify]: Simplify 0 into 0 32.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.529 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 32.530 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 32.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.531 * [backup-simplify]: Simplify (+ 0 0) into 0 32.532 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow a 2))))) into 0 32.532 * [backup-simplify]: Simplify (+ 0 0) into 0 32.532 * [taylor]: Taking taylor expansion of 0 in a 32.532 * [backup-simplify]: Simplify 0 into 0 32.532 * [backup-simplify]: Simplify 0 into 0 32.533 * [backup-simplify]: Simplify (+ 0 0) into 0 32.533 * [backup-simplify]: Simplify 0 into 0 32.533 * [backup-simplify]: Simplify 0 into 0 32.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.534 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 32.535 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 32.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.535 * [backup-simplify]: Simplify (+ 0 0) into 0 32.536 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow a 2)))))) into 1 32.536 * [backup-simplify]: Simplify (+ 0 1) into 1 32.536 * [taylor]: Taking taylor expansion of 1 in a 32.536 * [backup-simplify]: Simplify 1 into 1 32.536 * [backup-simplify]: Simplify 1 into 1 32.536 * [backup-simplify]: Simplify 0 into 0 32.537 * [backup-simplify]: Simplify (* 1 1) into 1 32.537 * [backup-simplify]: Simplify (* 2 1) into 2 32.537 * [backup-simplify]: Simplify (+ 2 0) into 2 32.537 * [backup-simplify]: Simplify 2 into 2 32.538 * [backup-simplify]: Simplify (+ (* 2 (pow (* a b) 2)) (+ (* 1 (pow (* 1 b) 4)) (* 4 (pow (* 1 b) 2)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2)))) 32.538 * [backup-simplify]: Simplify (+ (* (* (/ 1 b) (/ 1 b)) 4) (pow (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) 4)) into (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) 32.538 * [approximate]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in (b a) around 0 32.538 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in a 32.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 32.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.538 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.538 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.538 * [taylor]: Taking taylor expansion of a in a 32.538 * [backup-simplify]: Simplify 0 into 0 32.538 * [backup-simplify]: Simplify 1 into 1 32.538 * [backup-simplify]: Simplify (* 1 1) into 1 32.538 * [backup-simplify]: Simplify (/ 1 1) into 1 32.538 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.538 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.538 * [taylor]: Taking taylor expansion of b in a 32.539 * [backup-simplify]: Simplify b into b 32.539 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.539 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.539 * [backup-simplify]: Simplify (+ 1 0) into 1 32.539 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in a 32.539 * [taylor]: Taking taylor expansion of 4 in a 32.539 * [backup-simplify]: Simplify 4 into 4 32.539 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.539 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.539 * [taylor]: Taking taylor expansion of b in a 32.539 * [backup-simplify]: Simplify b into b 32.539 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.539 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.539 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 32.539 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 32.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.539 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.539 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.539 * [taylor]: Taking taylor expansion of a in b 32.539 * [backup-simplify]: Simplify a into a 32.539 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.539 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.539 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.539 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.539 * [taylor]: Taking taylor expansion of b in b 32.539 * [backup-simplify]: Simplify 0 into 0 32.539 * [backup-simplify]: Simplify 1 into 1 32.540 * [backup-simplify]: Simplify (* 1 1) into 1 32.540 * [backup-simplify]: Simplify (/ 1 1) into 1 32.540 * [backup-simplify]: Simplify (+ 0 1) into 1 32.540 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 32.540 * [taylor]: Taking taylor expansion of 4 in b 32.540 * [backup-simplify]: Simplify 4 into 4 32.540 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.540 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.540 * [taylor]: Taking taylor expansion of b in b 32.540 * [backup-simplify]: Simplify 0 into 0 32.540 * [backup-simplify]: Simplify 1 into 1 32.541 * [backup-simplify]: Simplify (* 1 1) into 1 32.541 * [backup-simplify]: Simplify (/ 1 1) into 1 32.541 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 32.541 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 32.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.541 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.541 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.541 * [taylor]: Taking taylor expansion of a in b 32.541 * [backup-simplify]: Simplify a into a 32.541 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.541 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.541 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.541 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.541 * [taylor]: Taking taylor expansion of b in b 32.541 * [backup-simplify]: Simplify 0 into 0 32.541 * [backup-simplify]: Simplify 1 into 1 32.541 * [backup-simplify]: Simplify (* 1 1) into 1 32.542 * [backup-simplify]: Simplify (/ 1 1) into 1 32.542 * [backup-simplify]: Simplify (+ 0 1) into 1 32.542 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 32.542 * [taylor]: Taking taylor expansion of 4 in b 32.542 * [backup-simplify]: Simplify 4 into 4 32.542 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.542 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.542 * [taylor]: Taking taylor expansion of b in b 32.542 * [backup-simplify]: Simplify 0 into 0 32.542 * [backup-simplify]: Simplify 1 into 1 32.542 * [backup-simplify]: Simplify (* 1 1) into 1 32.542 * [backup-simplify]: Simplify (/ 1 1) into 1 32.543 * [backup-simplify]: Simplify (* 1 1) into 1 32.543 * [backup-simplify]: Simplify (+ 1 0) into 1 32.543 * [taylor]: Taking taylor expansion of 1 in a 32.543 * [backup-simplify]: Simplify 1 into 1 32.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.544 * [backup-simplify]: Simplify (+ 0 0) into 0 32.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.545 * [backup-simplify]: Simplify (+ 0 0) into 0 32.545 * [taylor]: Taking taylor expansion of 0 in a 32.545 * [backup-simplify]: Simplify 0 into 0 32.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.546 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 32.546 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* 0 0) (* (/ 1 (pow a 2)) 1))) into (* 2 (/ 1 (pow a 2))) 32.547 * [backup-simplify]: Simplify (* 4 1) into 4 32.547 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow a 2))) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 32.547 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 32.547 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 32.547 * [taylor]: Taking taylor expansion of 2 in a 32.547 * [backup-simplify]: Simplify 2 into 2 32.547 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.547 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.547 * [taylor]: Taking taylor expansion of a in a 32.547 * [backup-simplify]: Simplify 0 into 0 32.547 * [backup-simplify]: Simplify 1 into 1 32.547 * [backup-simplify]: Simplify (* 1 1) into 1 32.547 * [backup-simplify]: Simplify (/ 1 1) into 1 32.547 * [taylor]: Taking taylor expansion of 4 in a 32.547 * [backup-simplify]: Simplify 4 into 4 32.548 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 32.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 32.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.549 * [backup-simplify]: Simplify (+ 0 0) into 0 32.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow a 2))) (+ (* (/ 1 (pow a 2)) 0) (* 0 1)))) into 0 32.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.551 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 32.551 * [backup-simplify]: Simplify (+ 0 0) into 0 32.551 * [taylor]: Taking taylor expansion of 0 in a 32.551 * [backup-simplify]: Simplify 0 into 0 32.551 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 32.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 32.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.553 * [backup-simplify]: Simplify (+ 0 0) into 0 32.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow a 4)) 32.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.556 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 32.556 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 32.556 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 32.556 * [taylor]: Taking taylor expansion of (pow a 4) in a 32.556 * [taylor]: Taking taylor expansion of a in a 32.556 * [backup-simplify]: Simplify 0 into 0 32.556 * [backup-simplify]: Simplify 1 into 1 32.556 * [backup-simplify]: Simplify (* 1 1) into 1 32.556 * [backup-simplify]: Simplify (* 1 1) into 1 32.556 * [backup-simplify]: Simplify (/ 1 1) into 1 32.556 * [backup-simplify]: Simplify 1 into 1 32.557 * [backup-simplify]: Simplify (* 2 1) into 2 32.557 * [backup-simplify]: Simplify (+ 2 0) into 2 32.557 * [backup-simplify]: Simplify 2 into 2 32.557 * [backup-simplify]: Simplify 1 into 1 32.557 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 32.558 * [backup-simplify]: Simplify (+ (* (* (/ 1 (- b)) (/ 1 (- b))) 4) (pow (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) 4)) into (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) 32.558 * [approximate]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in (b a) around 0 32.558 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in a 32.558 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 32.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 32.558 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.558 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.558 * [taylor]: Taking taylor expansion of a in a 32.558 * [backup-simplify]: Simplify 0 into 0 32.558 * [backup-simplify]: Simplify 1 into 1 32.558 * [backup-simplify]: Simplify (* 1 1) into 1 32.558 * [backup-simplify]: Simplify (/ 1 1) into 1 32.558 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.558 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.558 * [taylor]: Taking taylor expansion of b in a 32.558 * [backup-simplify]: Simplify b into b 32.559 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.559 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.559 * [backup-simplify]: Simplify (+ 1 0) into 1 32.559 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in a 32.559 * [taylor]: Taking taylor expansion of 4 in a 32.559 * [backup-simplify]: Simplify 4 into 4 32.559 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 32.559 * [taylor]: Taking taylor expansion of (pow b 2) in a 32.559 * [taylor]: Taking taylor expansion of b in a 32.559 * [backup-simplify]: Simplify b into b 32.559 * [backup-simplify]: Simplify (* b b) into (pow b 2) 32.559 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 32.559 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 32.559 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 32.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.559 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.559 * [taylor]: Taking taylor expansion of a in b 32.559 * [backup-simplify]: Simplify a into a 32.559 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.559 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.559 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.559 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.559 * [taylor]: Taking taylor expansion of b in b 32.559 * [backup-simplify]: Simplify 0 into 0 32.559 * [backup-simplify]: Simplify 1 into 1 32.560 * [backup-simplify]: Simplify (* 1 1) into 1 32.560 * [backup-simplify]: Simplify (/ 1 1) into 1 32.560 * [backup-simplify]: Simplify (+ 0 1) into 1 32.560 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 32.560 * [taylor]: Taking taylor expansion of 4 in b 32.560 * [backup-simplify]: Simplify 4 into 4 32.560 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.560 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.560 * [taylor]: Taking taylor expansion of b in b 32.560 * [backup-simplify]: Simplify 0 into 0 32.560 * [backup-simplify]: Simplify 1 into 1 32.560 * [backup-simplify]: Simplify (* 1 1) into 1 32.561 * [backup-simplify]: Simplify (/ 1 1) into 1 32.561 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 32.561 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 32.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 32.561 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 32.561 * [taylor]: Taking taylor expansion of (pow a 2) in b 32.561 * [taylor]: Taking taylor expansion of a in b 32.561 * [backup-simplify]: Simplify a into a 32.561 * [backup-simplify]: Simplify (* a a) into (pow a 2) 32.561 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 32.561 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.561 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.561 * [taylor]: Taking taylor expansion of b in b 32.561 * [backup-simplify]: Simplify 0 into 0 32.561 * [backup-simplify]: Simplify 1 into 1 32.561 * [backup-simplify]: Simplify (* 1 1) into 1 32.562 * [backup-simplify]: Simplify (/ 1 1) into 1 32.562 * [backup-simplify]: Simplify (+ 0 1) into 1 32.562 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 32.562 * [taylor]: Taking taylor expansion of 4 in b 32.562 * [backup-simplify]: Simplify 4 into 4 32.562 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 32.562 * [taylor]: Taking taylor expansion of (pow b 2) in b 32.562 * [taylor]: Taking taylor expansion of b in b 32.562 * [backup-simplify]: Simplify 0 into 0 32.562 * [backup-simplify]: Simplify 1 into 1 32.562 * [backup-simplify]: Simplify (* 1 1) into 1 32.562 * [backup-simplify]: Simplify (/ 1 1) into 1 32.563 * [backup-simplify]: Simplify (* 1 1) into 1 32.563 * [backup-simplify]: Simplify (+ 1 0) into 1 32.563 * [taylor]: Taking taylor expansion of 1 in a 32.563 * [backup-simplify]: Simplify 1 into 1 32.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.564 * [backup-simplify]: Simplify (+ 0 0) into 0 32.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.565 * [backup-simplify]: Simplify (+ 0 0) into 0 32.565 * [taylor]: Taking taylor expansion of 0 in a 32.565 * [backup-simplify]: Simplify 0 into 0 32.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.567 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 32.568 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* 0 0) (* (/ 1 (pow a 2)) 1))) into (* 2 (/ 1 (pow a 2))) 32.568 * [backup-simplify]: Simplify (* 4 1) into 4 32.568 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow a 2))) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 32.568 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 32.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 32.568 * [taylor]: Taking taylor expansion of 2 in a 32.568 * [backup-simplify]: Simplify 2 into 2 32.568 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 32.568 * [taylor]: Taking taylor expansion of (pow a 2) in a 32.568 * [taylor]: Taking taylor expansion of a in a 32.568 * [backup-simplify]: Simplify 0 into 0 32.568 * [backup-simplify]: Simplify 1 into 1 32.569 * [backup-simplify]: Simplify (* 1 1) into 1 32.569 * [backup-simplify]: Simplify (/ 1 1) into 1 32.569 * [taylor]: Taking taylor expansion of 4 in a 32.569 * [backup-simplify]: Simplify 4 into 4 32.569 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 32.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 32.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.572 * [backup-simplify]: Simplify (+ 0 0) into 0 32.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow a 2))) (+ (* (/ 1 (pow a 2)) 0) (* 0 1)))) into 0 32.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.575 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 32.576 * [backup-simplify]: Simplify (+ 0 0) into 0 32.576 * [taylor]: Taking taylor expansion of 0 in a 32.576 * [backup-simplify]: Simplify 0 into 0 32.576 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 32.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 32.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 32.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.579 * [backup-simplify]: Simplify (+ 0 0) into 0 32.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow a 4)) 32.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.583 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 32.584 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 32.584 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 32.584 * [taylor]: Taking taylor expansion of (pow a 4) in a 32.584 * [taylor]: Taking taylor expansion of a in a 32.584 * [backup-simplify]: Simplify 0 into 0 32.584 * [backup-simplify]: Simplify 1 into 1 32.584 * [backup-simplify]: Simplify (* 1 1) into 1 32.585 * [backup-simplify]: Simplify (* 1 1) into 1 32.585 * [backup-simplify]: Simplify (/ 1 1) into 1 32.585 * [backup-simplify]: Simplify 1 into 1 32.585 * [backup-simplify]: Simplify (* 2 1) into 2 32.586 * [backup-simplify]: Simplify (+ 2 0) into 2 32.586 * [backup-simplify]: Simplify 2 into 2 32.586 * [backup-simplify]: Simplify 1 into 1 32.587 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 32.587 * * * [progress]: simplifying candidates 32.587 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 32.587 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 32.587 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 32.587 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 32.587 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 32.587 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 32.587 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 32.588 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 32.588 * * [simplify]: iters left: 6 (8 enodes) 32.591 * * [simplify]: iters left: 5 (26 enodes) 32.597 * * [simplify]: Extracting #0: cost 1 inf + 0 32.598 * * [simplify]: Extracting #1: cost 4 inf + 0 32.598 * * [simplify]: Extracting #2: cost 7 inf + 0 32.598 * * [simplify]: Extracting #3: cost 10 inf + 0 32.598 * * [simplify]: Extracting #4: cost 14 inf + 0 32.598 * * [simplify]: Extracting #5: cost 10 inf + 84 32.598 * * [simplify]: Extracting #6: cost 8 inf + 166 32.598 * * [simplify]: Extracting #7: cost 4 inf + 854 32.598 * * [simplify]: Extracting #8: cost 1 inf + 1540 32.598 * * [simplify]: Extracting #9: cost 0 inf + 1782 32.599 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 32.599 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (fabs (cbrt (+ (* a a) (* b b)))) (sqrt (cbrt (+ (* a a) (* b b))))) 4)) 1)) 32.599 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 32.599 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 32.599 * * [simplify]: iters left: 6 (7 enodes) 32.602 * * [simplify]: iters left: 5 (22 enodes) 32.605 * * [simplify]: Extracting #0: cost 1 inf + 0 32.605 * * [simplify]: Extracting #1: cost 3 inf + 0 32.605 * * [simplify]: Extracting #2: cost 5 inf + 0 32.605 * * [simplify]: Extracting #3: cost 8 inf + 0 32.605 * * [simplify]: Extracting #4: cost 12 inf + 0 32.605 * * [simplify]: Extracting #5: cost 10 inf + 2 32.605 * * [simplify]: Extracting #6: cost 1 inf + 936 32.606 * * [simplify]: Extracting #7: cost 0 inf + 1138 32.606 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 32.606 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (sqrt (+ (* a a) (* b b))))) 4)) 1)) 32.606 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 32.606 * [simplify]: Simplifying (sqrt 1) 32.606 * * [simplify]: iters left: 1 (2 enodes) 32.609 * * [simplify]: Extracting #0: cost 1 inf + 0 32.609 * * [simplify]: Extracting #1: cost 0 inf + 1 32.609 * [simplify]: Simplified to 1 32.609 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* 1 (sqrt (+ (* a a) (* b b)))) 4)) 1)) 32.609 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 32.609 * [simplify]: Simplifying (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) 32.609 * * [simplify]: iters left: 6 (9 enodes) 32.612 * * [simplify]: iters left: 5 (45 enodes) 32.623 * * [simplify]: iters left: 4 (100 enodes) 32.647 * * [simplify]: iters left: 3 (201 enodes) 32.727 * * [simplify]: iters left: 2 (406 enodes) 32.840 * * [simplify]: Extracting #0: cost 1 inf + 0 32.840 * * [simplify]: Extracting #1: cost 3 inf + 0 32.840 * * [simplify]: Extracting #2: cost 6 inf + 0 32.840 * * [simplify]: Extracting #3: cost 62 inf + 0 32.841 * * [simplify]: Extracting #4: cost 166 inf + 460 32.842 * * [simplify]: Extracting #5: cost 131 inf + 12951 32.846 * * [simplify]: Extracting #6: cost 49 inf + 45746 32.851 * * [simplify]: Extracting #7: cost 1 inf + 66256 32.856 * * [simplify]: Extracting #8: cost 0 inf + 65919 32.865 * [simplify]: Simplified to (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) 32.865 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (/ (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 4)) 1)) 32.865 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 32.865 * [simplify]: Simplifying (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 32.866 * * [simplify]: iters left: 6 (8 enodes) 32.870 * * [simplify]: iters left: 5 (37 enodes) 32.883 * * [simplify]: iters left: 4 (67 enodes) 32.905 * * [simplify]: iters left: 3 (123 enodes) 32.936 * * [simplify]: iters left: 2 (278 enodes) 33.075 * * [simplify]: Extracting #0: cost 1 inf + 0 33.075 * * [simplify]: Extracting #1: cost 3 inf + 0 33.075 * * [simplify]: Extracting #2: cost 50 inf + 0 33.076 * * [simplify]: Extracting #3: cost 150 inf + 0 33.077 * * [simplify]: Extracting #4: cost 194 inf + 1180 33.079 * * [simplify]: Extracting #5: cost 123 inf + 12421 33.091 * * [simplify]: Extracting #6: cost 12 inf + 33804 33.105 * * [simplify]: Extracting #7: cost 0 inf + 36129 33.120 * [simplify]: Simplified to (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 33.120 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (/ (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (- (* a a) (* b b)))) 4)) 1)) 33.121 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 33.121 * [simplify]: Simplifying (+ (* a a) (* b b)) 33.121 * * [simplify]: iters left: 4 (5 enodes) 33.123 * * [simplify]: iters left: 3 (16 enodes) 33.126 * * [simplify]: Extracting #0: cost 1 inf + 0 33.126 * * [simplify]: Extracting #1: cost 4 inf + 0 33.126 * * [simplify]: Extracting #2: cost 8 inf + 0 33.126 * * [simplify]: Extracting #3: cost 4 inf + 84 33.126 * * [simplify]: Extracting #4: cost 0 inf + 410 33.126 * [simplify]: Simplified to (+ (* a a) (* b b)) 33.126 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (pow (+ (* a a) (* b b)) (/ 1 2)) 4)) 1)) 33.127 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 33.127 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 33.127 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 33.127 * * [simplify]: iters left: 5 (6 enodes) 33.128 * * [simplify]: iters left: 4 (19 enodes) 33.130 * * [simplify]: Extracting #0: cost 1 inf + 0 33.131 * * [simplify]: Extracting #1: cost 3 inf + 0 33.131 * * [simplify]: Extracting #2: cost 6 inf + 0 33.131 * * [simplify]: Extracting #3: cost 10 inf + 0 33.131 * * [simplify]: Extracting #4: cost 6 inf + 84 33.131 * * [simplify]: Extracting #5: cost 0 inf + 734 33.131 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 33.131 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (fabs (sqrt (+ (* a a) (* b b)))) 4)) 1)) 33.131 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 33.131 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a a) (* b b))))) 4)) 1))> 33.131 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 33.131 * [simplify]: Simplifying (* (* b b) 4) 33.131 * * [simplify]: iters left: 4 (4 enodes) 33.133 * * [simplify]: iters left: 3 (15 enodes) 33.135 * * [simplify]: iters left: 2 (19 enodes) 33.138 * * [simplify]: iters left: 1 (20 enodes) 33.141 * * [simplify]: Extracting #0: cost 1 inf + 0 33.141 * * [simplify]: Extracting #1: cost 6 inf + 0 33.141 * * [simplify]: Extracting #2: cost 6 inf + 2 33.141 * * [simplify]: Extracting #3: cost 0 inf + 332 33.141 * [simplify]: Simplified to (* 4 (* b b)) 33.141 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.141 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 33.141 * [simplify]: Simplifying (* (* b b) 4) 33.141 * * [simplify]: iters left: 4 (4 enodes) 33.143 * * [simplify]: iters left: 3 (15 enodes) 33.145 * * [simplify]: iters left: 2 (19 enodes) 33.148 * * [simplify]: iters left: 1 (20 enodes) 33.151 * * [simplify]: Extracting #0: cost 1 inf + 0 33.151 * * [simplify]: Extracting #1: cost 6 inf + 0 33.151 * * [simplify]: Extracting #2: cost 6 inf + 2 33.151 * * [simplify]: Extracting #3: cost 0 inf + 332 33.151 * [simplify]: Simplified to (* 4 (* b b)) 33.151 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.151 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 33.151 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 33.151 * [simplify]: Simplifying (+ (+ (log b) (log b)) (log 4)) 33.151 * * [simplify]: iters left: 5 (6 enodes) 33.153 * * [simplify]: iters left: 4 (21 enodes) 33.157 * * [simplify]: iters left: 3 (25 enodes) 33.162 * * [simplify]: iters left: 2 (26 enodes) 33.167 * * [simplify]: Extracting #0: cost 1 inf + 0 33.167 * * [simplify]: Extracting #1: cost 6 inf + 0 33.167 * * [simplify]: Extracting #2: cost 12 inf + 0 33.167 * * [simplify]: Extracting #3: cost 10 inf + 2 33.168 * * [simplify]: Extracting #4: cost 0 inf + 1316 33.168 * [simplify]: Simplified to (+ (+ (log b) (log b)) (log 4)) 33.168 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (exp (+ (+ (log b) (log b)) (log 4))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.169 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 33.169 * [simplify]: Simplifying (+ (log (* b b)) (log 4)) 33.169 * * [simplify]: iters left: 5 (6 enodes) 33.173 * * [simplify]: iters left: 4 (21 enodes) 33.180 * * [simplify]: iters left: 3 (27 enodes) 33.189 * * [simplify]: iters left: 2 (32 enodes) 33.198 * * [simplify]: Extracting #0: cost 1 inf + 0 33.198 * * [simplify]: Extracting #1: cost 6 inf + 0 33.198 * * [simplify]: Extracting #2: cost 13 inf + 0 33.198 * * [simplify]: Extracting #3: cost 12 inf + 2 33.198 * * [simplify]: Extracting #4: cost 4 inf + 913 33.198 * * [simplify]: Extracting #5: cost 0 inf + 1398 33.199 * [simplify]: Simplified to (+ (+ (log b) (log 4)) (log b)) 33.199 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (exp (+ (+ (log b) (log 4)) (log b))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.199 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 33.199 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 33.199 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 33.200 * [simplify]: Simplifying (* (* (* (* b b) b) (* (* b b) b)) (* (* 4 4) 4)) 33.200 * * [simplify]: iters left: 6 (8 enodes) 33.205 * * [simplify]: iters left: 5 (38 enodes) 33.222 * * [simplify]: iters left: 4 (98 enodes) 33.264 * * [simplify]: iters left: 3 (289 enodes) 33.450 * * [simplify]: Extracting #0: cost 1 inf + 0 33.450 * * [simplify]: Extracting #1: cost 53 inf + 0 33.453 * * [simplify]: Extracting #2: cost 102 inf + 886 33.454 * * [simplify]: Extracting #3: cost 45 inf + 8712 33.459 * * [simplify]: Extracting #4: cost 10 inf + 13910 33.466 * * [simplify]: Extracting #5: cost 0 inf + 16377 33.473 * [simplify]: Simplified to (* (* (* (* b b) (* b b)) 64) (* b b)) 33.473 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (cbrt (* (* (* (* b b) (* b b)) 64) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.473 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 33.474 * [simplify]: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* 4 4) 4)) 33.474 * * [simplify]: iters left: 6 (8 enodes) 33.477 * * [simplify]: iters left: 5 (39 enodes) 33.485 * * [simplify]: iters left: 4 (98 enodes) 33.507 * * [simplify]: iters left: 3 (283 enodes) 33.713 * * [simplify]: Extracting #0: cost 1 inf + 0 33.714 * * [simplify]: Extracting #1: cost 50 inf + 0 33.714 * * [simplify]: Extracting #2: cost 101 inf + 252 33.717 * * [simplify]: Extracting #3: cost 64 inf + 3759 33.726 * * [simplify]: Extracting #4: cost 17 inf + 12648 33.733 * * [simplify]: Extracting #5: cost 0 inf + 17704 33.739 * [simplify]: Simplified to (* (* 64 (* b b)) (* (* b b) (* b b))) 33.739 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (cbrt (* (* 64 (* b b)) (* (* b b) (* b b)))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.739 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 33.739 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 33.739 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 33.739 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 33.739 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 33.739 * [simplify]: Simplifying (* b (sqrt 4)) 33.739 * * [simplify]: iters left: 3 (4 enodes) 33.741 * * [simplify]: iters left: 2 (14 enodes) 33.743 * * [simplify]: Extracting #0: cost 1 inf + 0 33.743 * * [simplify]: Extracting #1: cost 4 inf + 0 33.743 * * [simplify]: Extracting #2: cost 2 inf + 2 33.743 * * [simplify]: Extracting #3: cost 0 inf + 86 33.743 * [simplify]: Simplified to (* 2 b) 33.744 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (* 2 b) (* b (sqrt 4))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.744 * [simplify]: Simplifying (* b (sqrt 4)) 33.744 * * [simplify]: iters left: 3 (4 enodes) 33.745 * * [simplify]: iters left: 2 (14 enodes) 33.747 * * [simplify]: Extracting #0: cost 1 inf + 0 33.747 * * [simplify]: Extracting #1: cost 4 inf + 0 33.748 * * [simplify]: Extracting #2: cost 2 inf + 2 33.748 * * [simplify]: Extracting #3: cost 0 inf + 86 33.748 * [simplify]: Simplified to (* 2 b) 33.748 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* b (sqrt 4)) (* 2 b)) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.748 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 33.748 * [simplify]: Simplifying (cbrt 4) 33.748 * * [simplify]: iters left: 1 (2 enodes) 33.749 * * [simplify]: Extracting #0: cost 1 inf + 0 33.749 * * [simplify]: Extracting #1: cost 3 inf + 0 33.749 * * [simplify]: Extracting #2: cost 2 inf + 1 33.749 * * [simplify]: Extracting #3: cost 0 inf + 163 33.749 * [simplify]: Simplified to (cbrt 4) 33.749 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* (* b b) (* (cbrt 4) (cbrt 4))) (cbrt 4)) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.749 * * * * [progress]: [ 32 / 84 ] simplifiying candidate # 33.749 * [simplify]: Simplifying (sqrt 4) 33.749 * * [simplify]: iters left: 1 (2 enodes) 33.751 * * [simplify]: Extracting #0: cost 1 inf + 0 33.751 * * [simplify]: Extracting #1: cost 0 inf + 1 33.751 * [simplify]: Simplified to 2 33.751 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* (* b b) (sqrt 4)) 2) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.751 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 33.751 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 33.751 * * * * [progress]: [ 35 / 84 ] simplifiying candidate #real (real->posit16 (* (* b b) 4))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1))> 33.751 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 33.751 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 33.751 * [simplify]: Simplifying (* (log (sqrt (+ (* a a) (* b b)))) 4) 33.751 * * [simplify]: iters left: 6 (9 enodes) 33.753 * * [simplify]: iters left: 5 (29 enodes) 33.757 * * [simplify]: Extracting #0: cost 1 inf + 0 33.757 * * [simplify]: Extracting #1: cost 4 inf + 0 33.757 * * [simplify]: Extracting #2: cost 5 inf + 1 33.757 * * [simplify]: Extracting #3: cost 7 inf + 1 33.757 * * [simplify]: Extracting #4: cost 10 inf + 1 33.757 * * [simplify]: Extracting #5: cost 14 inf + 1 33.758 * * [simplify]: Extracting #6: cost 10 inf + 85 33.758 * * [simplify]: Extracting #7: cost 8 inf + 167 33.758 * * [simplify]: Extracting #8: cost 5 inf + 573 33.758 * * [simplify]: Extracting #9: cost 2 inf + 1240 33.758 * * [simplify]: Extracting #10: cost 0 inf + 1745 33.759 * [simplify]: Simplified to (* 4 (log (sqrt (+ (* a a) (* b b))))) 33.759 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (exp (* 4 (log (sqrt (+ (* a a) (* b b))))))) 1)) 33.759 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 33.759 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 33.759 * [simplify]: Simplifying (+ (* a a) (* b b)) 33.759 * * [simplify]: iters left: 4 (5 enodes) 33.760 * * [simplify]: iters left: 3 (16 enodes) 33.762 * * [simplify]: Extracting #0: cost 1 inf + 0 33.762 * * [simplify]: Extracting #1: cost 4 inf + 0 33.762 * * [simplify]: Extracting #2: cost 8 inf + 0 33.762 * * [simplify]: Extracting #3: cost 4 inf + 84 33.762 * * [simplify]: Extracting #4: cost 0 inf + 410 33.762 * [simplify]: Simplified to (+ (* a a) (* b b)) 33.762 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (* 1/2 4))) 1)) 33.762 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 33.763 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 33.763 * * [simplify]: iters left: 5 (6 enodes) 33.764 * * [simplify]: iters left: 4 (19 enodes) 33.769 * * [simplify]: Extracting #0: cost 1 inf + 0 33.769 * * [simplify]: Extracting #1: cost 3 inf + 0 33.769 * * [simplify]: Extracting #2: cost 6 inf + 0 33.769 * * [simplify]: Extracting #3: cost 10 inf + 0 33.769 * * [simplify]: Extracting #4: cost 6 inf + 84 33.769 * * [simplify]: Extracting #5: cost 0 inf + 734 33.769 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 33.769 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) (* 1 4))) 1)) 33.770 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 33.770 * [simplify]: Simplifying (+ (* a a) (* b b)) 33.770 * * [simplify]: iters left: 4 (5 enodes) 33.773 * * [simplify]: iters left: 3 (16 enodes) 33.777 * * [simplify]: Extracting #0: cost 1 inf + 0 33.777 * * [simplify]: Extracting #1: cost 4 inf + 0 33.777 * * [simplify]: Extracting #2: cost 8 inf + 0 33.777 * * [simplify]: Extracting #3: cost 4 inf + 84 33.777 * * [simplify]: Extracting #4: cost 0 inf + 410 33.777 * [simplify]: Simplified to (+ (* a a) (* b b)) 33.777 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (* (/ 1 2) 4))) 1)) 33.778 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 33.778 * [simplify]: Simplifying (cbrt 4) 33.778 * * [simplify]: iters left: 1 (2 enodes) 33.780 * * [simplify]: Extracting #0: cost 1 inf + 0 33.780 * * [simplify]: Extracting #1: cost 3 inf + 0 33.780 * * [simplify]: Extracting #2: cost 2 inf + 1 33.780 * * [simplify]: Extracting #3: cost 0 inf + 163 33.780 * [simplify]: Simplified to (cbrt 4) 33.780 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (pow (sqrt (+ (* a a) (* b b))) (* (cbrt 4) (cbrt 4))) (cbrt 4))) 1)) 33.780 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 33.780 * [simplify]: Simplifying (sqrt 4) 33.780 * * [simplify]: iters left: 1 (2 enodes) 33.782 * * [simplify]: Extracting #0: cost 1 inf + 0 33.782 * * [simplify]: Extracting #1: cost 0 inf + 1 33.783 * [simplify]: Simplified to 2 33.783 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (pow (sqrt (+ (* a a) (* b b))) (sqrt 4)) 2)) 1)) 33.783 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 33.783 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 33.783 * [simplify]: Simplifying (pow (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 4) 33.783 * * [simplify]: iters left: 6 (10 enodes) 33.788 * * [simplify]: iters left: 5 (35 enodes) 33.800 * * [simplify]: iters left: 4 (48 enodes) 33.816 * * [simplify]: iters left: 3 (70 enodes) 33.836 * * [simplify]: iters left: 2 (112 enodes) 33.857 * * [simplify]: iters left: 1 (203 enodes) 33.914 * * [simplify]: Extracting #0: cost 1 inf + 0 33.914 * * [simplify]: Extracting #1: cost 5 inf + 0 33.914 * * [simplify]: Extracting #2: cost 23 inf + 1 33.914 * * [simplify]: Extracting #3: cost 56 inf + 3 33.915 * * [simplify]: Extracting #4: cost 54 inf + 8 33.915 * * [simplify]: Extracting #5: cost 56 inf + 9 33.915 * * [simplify]: Extracting #6: cost 60 inf + 9 33.915 * * [simplify]: Extracting #7: cost 56 inf + 93 33.916 * * [simplify]: Extracting #8: cost 47 inf + 1509 33.917 * * [simplify]: Extracting #9: cost 37 inf + 5122 33.922 * * [simplify]: Extracting #10: cost 19 inf + 14312 33.931 * * [simplify]: Extracting #11: cost 4 inf + 23569 33.945 * * [simplify]: Extracting #12: cost 0 inf + 26152 33.955 * [simplify]: Simplified to (* (* (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b)))))) (* (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))))) 33.955 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* (* (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b)))))) (* (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))))) (pow (cbrt (sqrt (+ (* a a) (* b b)))) 4))) 1)) 33.955 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 33.955 * [simplify]: Simplifying (pow (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 4) 33.956 * * [simplify]: iters left: 6 (10 enodes) 33.961 * * [simplify]: iters left: 5 (36 enodes) 33.973 * * [simplify]: iters left: 4 (49 enodes) 33.989 * * [simplify]: iters left: 3 (71 enodes) 34.007 * * [simplify]: iters left: 2 (118 enodes) 34.029 * * [simplify]: iters left: 1 (231 enodes) 34.110 * * [simplify]: Extracting #0: cost 1 inf + 0 34.110 * * [simplify]: Extracting #1: cost 23 inf + 0 34.110 * * [simplify]: Extracting #2: cost 77 inf + 1 34.110 * * [simplify]: Extracting #3: cost 82 inf + 8 34.111 * * [simplify]: Extracting #4: cost 85 inf + 10 34.111 * * [simplify]: Extracting #5: cost 76 inf + 743 34.115 * * [simplify]: Extracting #6: cost 44 inf + 14491 34.127 * * [simplify]: Extracting #7: cost 1 inf + 35292 34.135 * * [simplify]: Extracting #8: cost 0 inf + 35141 34.142 * [simplify]: Simplified to (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 34.142 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) (pow (sqrt (cbrt (+ (* a a) (* b b)))) 4))) 1)) 34.142 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 34.143 * [simplify]: Simplifying (pow (sqrt (sqrt (+ (* a a) (* b b)))) 4) 34.143 * * [simplify]: iters left: 6 (9 enodes) 34.148 * * [simplify]: iters left: 5 (32 enodes) 34.154 * * [simplify]: iters left: 4 (45 enodes) 34.165 * * [simplify]: iters left: 3 (67 enodes) 34.188 * * [simplify]: iters left: 2 (110 enodes) 34.225 * * [simplify]: iters left: 1 (200 enodes) 34.305 * * [simplify]: Extracting #0: cost 1 inf + 0 34.306 * * [simplify]: Extracting #1: cost 17 inf + 0 34.306 * * [simplify]: Extracting #2: cost 51 inf + 1 34.306 * * [simplify]: Extracting #3: cost 50 inf + 132 34.306 * * [simplify]: Extracting #4: cost 47 inf + 297 34.307 * * [simplify]: Extracting #5: cost 39 inf + 2054 34.309 * * [simplify]: Extracting #6: cost 16 inf + 11378 34.312 * * [simplify]: Extracting #7: cost 3 inf + 18267 34.316 * * [simplify]: Extracting #8: cost 0 inf + 19826 34.321 * [simplify]: Simplified to (+ (* a a) (* b b)) 34.321 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (pow (sqrt (sqrt (+ (* a a) (* b b)))) 4))) 1)) 34.321 * * * * [progress]: [ 48 / 84 ] simplifiying candidate # 34.322 * [simplify]: Simplifying (pow (sqrt 1) 4) 34.322 * * [simplify]: iters left: 2 (4 enodes) 34.326 * * [simplify]: iters left: 1 (18 enodes) 34.331 * * [simplify]: Extracting #0: cost 1 inf + 0 34.331 * * [simplify]: Extracting #1: cost 0 inf + 1 34.331 * [simplify]: Simplified to 1 34.331 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (pow (sqrt (+ (* a a) (* b b))) 4))) 1)) 34.331 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 34.332 * [simplify]: Simplifying (pow (sqrt (sqrt (+ (* a a) (* b b)))) 4) 34.332 * * [simplify]: iters left: 6 (9 enodes) 34.335 * * [simplify]: iters left: 5 (32 enodes) 34.340 * * [simplify]: iters left: 4 (45 enodes) 34.348 * * [simplify]: iters left: 3 (67 enodes) 34.360 * * [simplify]: iters left: 2 (110 enodes) 34.399 * * [simplify]: iters left: 1 (200 enodes) 34.473 * * [simplify]: Extracting #0: cost 1 inf + 0 34.473 * * [simplify]: Extracting #1: cost 17 inf + 0 34.473 * * [simplify]: Extracting #2: cost 51 inf + 1 34.473 * * [simplify]: Extracting #3: cost 50 inf + 132 34.474 * * [simplify]: Extracting #4: cost 47 inf + 297 34.474 * * [simplify]: Extracting #5: cost 39 inf + 2054 34.476 * * [simplify]: Extracting #6: cost 16 inf + 11378 34.480 * * [simplify]: Extracting #7: cost 3 inf + 18267 34.484 * * [simplify]: Extracting #8: cost 0 inf + 19826 34.493 * [simplify]: Simplified to (+ (* a a) (* b b)) 34.493 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (pow (sqrt (sqrt (+ (* a a) (* b b)))) 4))) 1)) 34.493 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 34.493 * [simplify]: Simplifying (pow 1 4) 34.493 * * [simplify]: iters left: 1 (3 enodes) 34.496 * * [simplify]: Extracting #0: cost 1 inf + 0 34.496 * * [simplify]: Extracting #1: cost 0 inf + 1 34.496 * [simplify]: Simplified to 1 34.496 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (pow (sqrt (+ (* a a) (* b b))) 4))) 1)) 34.496 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 34.496 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 34.496 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 34.496 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 34.496 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 34.497 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 34.497 * [simplify]: Simplifying (+ (* a a) (* b b)) 34.497 * * [simplify]: iters left: 4 (5 enodes) 34.499 * * [simplify]: iters left: 3 (16 enodes) 34.503 * * [simplify]: Extracting #0: cost 1 inf + 0 34.504 * * [simplify]: Extracting #1: cost 4 inf + 0 34.504 * * [simplify]: Extracting #2: cost 8 inf + 0 34.504 * * [simplify]: Extracting #3: cost 4 inf + 84 34.504 * * [simplify]: Extracting #4: cost 0 inf + 410 34.504 * [simplify]: Simplified to (+ (* a a) (* b b)) 34.504 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (/ 4 2))) 1)) 34.504 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 34.504 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 34.504 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 34.505 * * * * [progress]: [ 60 / 84 ] simplifiying candidate #real (real->posit16 (pow (sqrt (+ (* a a) (* b b))) 4)))) 1))> 34.505 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 34.505 * [simplify]: Simplifying (* (exp (* (* b b) 4)) (exp (pow (sqrt (+ (* a a) (* b b))) 4))) 34.505 * * [simplify]: iters left: 6 (12 enodes) 34.512 * * [simplify]: iters left: 5 (49 enodes) 34.528 * * [simplify]: iters left: 4 (81 enodes) 34.554 * * [simplify]: iters left: 3 (127 enodes) 34.597 * * [simplify]: iters left: 2 (251 enodes) 34.721 * * [simplify]: Extracting #0: cost 1 inf + 0 34.721 * * [simplify]: Extracting #1: cost 34 inf + 0 34.722 * * [simplify]: Extracting #2: cost 161 inf + 0 34.722 * * [simplify]: Extracting #3: cost 237 inf + 672 34.724 * * [simplify]: Extracting #4: cost 203 inf + 8246 34.729 * * [simplify]: Extracting #5: cost 98 inf + 42671 34.740 * * [simplify]: Extracting #6: cost 8 inf + 84589 34.764 * * [simplify]: Extracting #7: cost 0 inf + 87864 34.788 * [simplify]: Simplified to (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) 34.788 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) 1)) 34.788 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 34.788 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 34.788 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 71 / 84 ] simplifiying candidate #real (real->posit16 (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)))) 1))> 34.789 * * * * [progress]: [ 72 / 84 ] simplifiying candidate # 34.789 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 34.789 * [simplify]: Simplifying b 34.790 * * [simplify]: iters left: 0 (1 enodes) 34.790 * * [simplify]: Extracting #0: cost 1 inf + 0 34.790 * * [simplify]: Extracting #1: cost 0 inf + 1 34.790 * [simplify]: Simplified to b 34.790 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow b 4)) 1)) 34.790 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 34.790 * [simplify]: Simplifying a 34.791 * * [simplify]: iters left: 0 (1 enodes) 34.791 * * [simplify]: Extracting #0: cost 1 inf + 0 34.791 * * [simplify]: Extracting #1: cost 0 inf + 1 34.791 * [simplify]: Simplified to a 34.791 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow a 4)) 1)) 34.791 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 34.791 * [simplify]: Simplifying (* -1 a) 34.791 * * [simplify]: iters left: 2 (3 enodes) 34.793 * * [simplify]: iters left: 1 (11 enodes) 34.797 * * [simplify]: Extracting #0: cost 1 inf + 0 34.797 * * [simplify]: Extracting #1: cost 4 inf + 0 34.797 * * [simplify]: Extracting #2: cost 0 inf + 84 34.797 * [simplify]: Simplified to (- a) 34.797 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (- a) 4)) 1)) 34.797 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 34.797 * [simplify]: Simplifying (* 4 (pow b 2)) 34.797 * * [simplify]: iters left: 3 (5 enodes) 34.801 * * [simplify]: iters left: 2 (21 enodes) 34.808 * * [simplify]: iters left: 1 (29 enodes) 34.817 * * [simplify]: Extracting #0: cost 1 inf + 0 34.817 * * [simplify]: Extracting #1: cost 6 inf + 0 34.817 * * [simplify]: Extracting #2: cost 6 inf + 43 34.817 * * [simplify]: Extracting #3: cost 0 inf + 333 34.817 * [simplify]: Simplified to (* (* b b) 4) 34.817 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 34.818 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 34.818 * [simplify]: Simplifying (* 4 (pow b 2)) 34.818 * * [simplify]: iters left: 3 (5 enodes) 34.821 * * [simplify]: iters left: 2 (21 enodes) 34.828 * * [simplify]: iters left: 1 (29 enodes) 34.835 * * [simplify]: Extracting #0: cost 1 inf + 0 34.835 * * [simplify]: Extracting #1: cost 6 inf + 0 34.835 * * [simplify]: Extracting #2: cost 6 inf + 43 34.835 * * [simplify]: Extracting #3: cost 0 inf + 333 34.835 * [simplify]: Simplified to (* (* b b) 4) 34.835 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 34.836 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 34.836 * [simplify]: Simplifying (* 4 (pow b 2)) 34.836 * * [simplify]: iters left: 3 (5 enodes) 34.838 * * [simplify]: iters left: 2 (21 enodes) 34.841 * * [simplify]: iters left: 1 (29 enodes) 34.846 * * [simplify]: Extracting #0: cost 1 inf + 0 34.846 * * [simplify]: Extracting #1: cost 6 inf + 0 34.846 * * [simplify]: Extracting #2: cost 6 inf + 43 34.846 * * [simplify]: Extracting #3: cost 0 inf + 333 34.846 * [simplify]: Simplified to (* (* b b) 4) 34.846 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 34.846 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 34.846 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 34.846 * * [simplify]: iters left: 6 (12 enodes) 34.850 * * [simplify]: iters left: 5 (57 enodes) 34.860 * * [simplify]: iters left: 4 (96 enodes) 34.889 * * [simplify]: iters left: 3 (169 enodes) 34.924 * * [simplify]: iters left: 2 (239 enodes) 34.991 * * [simplify]: iters left: 1 (275 enodes) 35.041 * * [simplify]: Extracting #0: cost 1 inf + 0 35.041 * * [simplify]: Extracting #1: cost 8 inf + 0 35.041 * * [simplify]: Extracting #2: cost 40 inf + 0 35.041 * * [simplify]: Extracting #3: cost 53 inf + 168 35.042 * * [simplify]: Extracting #4: cost 28 inf + 3385 35.044 * * [simplify]: Extracting #5: cost 5 inf + 5794 35.045 * * [simplify]: Extracting #6: cost 0 inf + 6849 35.047 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 35.048 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b)))) 1)) 35.048 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 35.048 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 35.048 * * [simplify]: iters left: 6 (12 enodes) 35.052 * * [simplify]: iters left: 5 (57 enodes) 35.066 * * [simplify]: iters left: 4 (96 enodes) 35.097 * * [simplify]: iters left: 3 (169 enodes) 35.132 * * [simplify]: iters left: 2 (236 enodes) 35.180 * * [simplify]: iters left: 1 (270 enodes) 35.229 * * [simplify]: Extracting #0: cost 1 inf + 0 35.229 * * [simplify]: Extracting #1: cost 8 inf + 0 35.229 * * [simplify]: Extracting #2: cost 39 inf + 0 35.229 * * [simplify]: Extracting #3: cost 54 inf + 4 35.230 * * [simplify]: Extracting #4: cost 40 inf + 2137 35.233 * * [simplify]: Extracting #5: cost 4 inf + 6453 35.237 * * [simplify]: Extracting #6: cost 0 inf + 6723 35.241 * * [simplify]: Extracting #7: cost 0 inf + 6603 35.244 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 35.245 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 35.245 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 35.245 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 35.245 * * [simplify]: iters left: 6 (12 enodes) 35.256 * * [simplify]: iters left: 5 (57 enodes) 35.270 * * [simplify]: iters left: 4 (96 enodes) 35.285 * * [simplify]: iters left: 3 (169 enodes) 35.311 * * [simplify]: iters left: 2 (236 enodes) 35.371 * * [simplify]: iters left: 1 (270 enodes) 35.445 * * [simplify]: Extracting #0: cost 1 inf + 0 35.445 * * [simplify]: Extracting #1: cost 8 inf + 0 35.445 * * [simplify]: Extracting #2: cost 39 inf + 0 35.446 * * [simplify]: Extracting #3: cost 54 inf + 4 35.447 * * [simplify]: Extracting #4: cost 40 inf + 2137 35.450 * * [simplify]: Extracting #5: cost 4 inf + 6453 35.455 * * [simplify]: Extracting #6: cost 0 inf + 6723 35.459 * * [simplify]: Extracting #7: cost 0 inf + 6603 35.463 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 35.463 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 35.463 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 35.463 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2)))) 35.463 * * [simplify]: iters left: 6 (12 enodes) 35.471 * * [simplify]: iters left: 5 (56 enodes) 35.490 * * [simplify]: iters left: 4 (102 enodes) 35.520 * * [simplify]: iters left: 3 (198 enodes) 35.555 * * [simplify]: iters left: 2 (311 enodes) 35.615 * * [simplify]: iters left: 1 (364 enodes) 35.675 * * [simplify]: Extracting #0: cost 1 inf + 0 35.676 * * [simplify]: Extracting #1: cost 14 inf + 0 35.676 * * [simplify]: Extracting #2: cost 47 inf + 1 35.677 * * [simplify]: Extracting #3: cost 53 inf + 1068 35.680 * * [simplify]: Extracting #4: cost 7 inf + 7022 35.685 * * [simplify]: Extracting #5: cost 0 inf + 7604 35.690 * * [simplify]: Extracting #6: cost 0 inf + 7484 35.695 * [simplify]: Simplified to (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 35.695 * [simplify]: Simplified (2 1) to (λ (a b) (- (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 1)) 35.695 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 35.695 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 35.695 * * [simplify]: iters left: 6 (12 enodes) 35.703 * * [simplify]: iters left: 5 (57 enodes) 35.723 * * [simplify]: iters left: 4 (96 enodes) 35.756 * * [simplify]: iters left: 3 (169 enodes) 35.806 * * [simplify]: iters left: 2 (239 enodes) 35.884 * * [simplify]: iters left: 1 (275 enodes) 35.933 * * [simplify]: Extracting #0: cost 1 inf + 0 35.933 * * [simplify]: Extracting #1: cost 8 inf + 0 35.933 * * [simplify]: Extracting #2: cost 40 inf + 0 35.934 * * [simplify]: Extracting #3: cost 53 inf + 168 35.935 * * [simplify]: Extracting #4: cost 28 inf + 3385 35.938 * * [simplify]: Extracting #5: cost 5 inf + 5794 35.942 * * [simplify]: Extracting #6: cost 0 inf + 6849 35.948 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 35.948 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 35.948 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 35.949 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 35.949 * * [simplify]: iters left: 6 (12 enodes) 35.957 * * [simplify]: iters left: 5 (57 enodes) 35.975 * * [simplify]: iters left: 4 (96 enodes) 35.990 * * [simplify]: iters left: 3 (169 enodes) 36.023 * * [simplify]: iters left: 2 (239 enodes) 36.077 * * [simplify]: iters left: 1 (275 enodes) 36.128 * * [simplify]: Extracting #0: cost 1 inf + 0 36.128 * * [simplify]: Extracting #1: cost 8 inf + 0 36.128 * * [simplify]: Extracting #2: cost 40 inf + 0 36.128 * * [simplify]: Extracting #3: cost 53 inf + 168 36.130 * * [simplify]: Extracting #4: cost 28 inf + 3385 36.133 * * [simplify]: Extracting #5: cost 5 inf + 5794 36.137 * * [simplify]: Extracting #6: cost 0 inf + 6849 36.141 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 36.141 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 36.141 * * * [progress]: adding candidates to table 36.946 * [progress]: [Phase 3 of 3] Extracting. 36.951 * [simplify]: Simplifying (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1) 36.951 * * [simplify]: iters left: 6 (12 enodes) 36.953 * * [simplify]: iters left: 5 (17 enodes) 36.953 * * [simplify]: Extracting #0: cost 1 inf + 0 36.953 * * [simplify]: Extracting #1: cost 3 inf + 0 36.953 * * [simplify]: Extracting #2: cost 4 inf + 1 36.953 * * [simplify]: Extracting #3: cost 7 inf + 1 36.953 * * [simplify]: Extracting #4: cost 8 inf + 2 36.953 * * [simplify]: Extracting #5: cost 8 inf + 3 36.953 * * [simplify]: Extracting #6: cost 7 inf + 126 36.954 * * [simplify]: Extracting #7: cost 0 inf + 1772 36.954 * [simplify]: Simplified to (- (+ (* 4 (* b b)) (pow (sqrt (+ (* b b) (* a a))) 4)) 1) 40.810 * [regime-testing]: Baseline error score: 0.014808618266856689 40.812 * [regime-testing]: Oracle error score: 0.014808618266856689 40.812 * [regime-testing]: End program error score: 0.014808618266856689