0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.099 * * * [progress]: [2/2] Setting up program. 0.104 * [progress]: [Phase 2 of 3] Improving. 0.104 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.105 * [simplify]: Simplifying (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) 0.105 * * [simplify]: iters left: 6 (12 enodes) 0.112 * * [simplify]: iters left: 5 (52 enodes) 0.131 * * [simplify]: iters left: 4 (85 enodes) 0.163 * * [simplify]: iters left: 3 (193 enodes) 0.230 * * [simplify]: Extracting #0: cost 1 inf + 0 0.230 * * [simplify]: Extracting #1: cost 35 inf + 0 0.230 * * [simplify]: Extracting #2: cost 135 inf + 2 0.231 * * [simplify]: Extracting #3: cost 130 inf + 2363 0.237 * * [simplify]: Extracting #4: cost 53 inf + 16879 0.244 * * [simplify]: Extracting #5: cost 7 inf + 28055 0.251 * * [simplify]: Extracting #6: cost 1 inf + 29751 0.264 * * [simplify]: Extracting #7: cost 0 inf + 30084 0.278 * [simplify]: Simplified to (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1) 0.278 * [simplify]: Simplified (2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 0.289 * * [progress]: iteration 1 / 4 0.289 * * * [progress]: picking best candidate 0.293 * * * * [pick]: Picked # 0.293 * * * [progress]: localizing error 0.331 * * * [progress]: generating rewritten candidates 0.331 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.397 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.426 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.453 * * * [progress]: generating series expansions 0.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.454 * [backup-simplify]: Simplify (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) into (pow (+ (pow a 2) (pow b 2)) 2) 0.454 * [approximate]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in (a b) around 0 0.454 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 0.454 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 0.454 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.454 * [taylor]: Taking taylor expansion of a in b 0.454 * [backup-simplify]: Simplify a into a 0.454 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.454 * [taylor]: Taking taylor expansion of b in b 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.455 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 0.455 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 0.455 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.455 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.455 * [taylor]: Taking taylor expansion of a in a 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.455 * [taylor]: Taking taylor expansion of b in a 0.455 * [backup-simplify]: Simplify b into b 0.455 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.456 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 0.456 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 0.456 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.456 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.456 * [taylor]: Taking taylor expansion of a in a 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.456 * [taylor]: Taking taylor expansion of b in a 0.456 * [backup-simplify]: Simplify b into b 0.456 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.456 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 0.456 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 0.456 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.456 * [taylor]: Taking taylor expansion of b in b 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in b 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 0.458 * [taylor]: Taking taylor expansion of (* 2 (pow b 2)) in b 0.458 * [taylor]: Taking taylor expansion of 2 in b 0.458 * [backup-simplify]: Simplify 2 into 2 0.458 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.458 * [taylor]: Taking taylor expansion of b in b 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in b 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 0.464 * [taylor]: Taking taylor expansion of 1 in b 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (* 2 1) into 2 0.465 * [backup-simplify]: Simplify 2 into 2 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [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))) 0.467 * [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) 0.467 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 0.467 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.467 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.467 * [taylor]: Taking taylor expansion of a in b 0.467 * [backup-simplify]: Simplify a into a 0.467 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.467 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.467 * [taylor]: Taking taylor expansion of b in b 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.469 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.469 * [taylor]: Taking taylor expansion of a in a 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.470 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.470 * [taylor]: Taking taylor expansion of b in a 0.470 * [backup-simplify]: Simplify b into b 0.470 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.470 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.471 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.471 * [taylor]: Taking taylor expansion of a in a 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.471 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.471 * [taylor]: Taking taylor expansion of b in a 0.472 * [backup-simplify]: Simplify b into b 0.472 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.472 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.472 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of 1 in b 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [taylor]: Taking taylor expansion of 0 in b 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.478 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 0.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 0.478 * [taylor]: Taking taylor expansion of 2 in b 0.478 * [backup-simplify]: Simplify 2 into 2 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.478 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.478 * [taylor]: Taking taylor expansion of b in b 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in b 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.488 * [taylor]: Taking taylor expansion of (pow b 4) 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 (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* 2 1) into 2 0.489 * [backup-simplify]: Simplify 2 into 2 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [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))))) 0.491 * [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) 0.491 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 0.491 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.491 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.491 * [taylor]: Taking taylor expansion of a in b 0.491 * [backup-simplify]: Simplify a into a 0.491 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.491 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.491 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.491 * [taylor]: Taking taylor expansion of b in b 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [backup-simplify]: Simplify (+ 0 1) into 1 0.493 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.493 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.493 * [taylor]: Taking taylor expansion of a in a 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.494 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.494 * [taylor]: Taking taylor expansion of b in a 0.494 * [backup-simplify]: Simplify b into b 0.494 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.494 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.495 * [backup-simplify]: Simplify (+ 1 0) into 1 0.495 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.495 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.495 * [taylor]: Taking taylor expansion of a in a 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.496 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.496 * [taylor]: Taking taylor expansion of b in a 0.496 * [backup-simplify]: Simplify b into b 0.496 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.496 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.496 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of 1 in b 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in b 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.502 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 0.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 0.502 * [taylor]: Taking taylor expansion of 2 in b 0.502 * [backup-simplify]: Simplify 2 into 2 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.502 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.502 * [taylor]: Taking taylor expansion of b in b 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 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in b 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.511 * [taylor]: Taking taylor expansion of (pow b 4) 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 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (* 2 1) into 2 0.512 * [backup-simplify]: Simplify 2 into 2 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [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))))) 0.512 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.512 * [backup-simplify]: Simplify (* (* b b) 4) into (* 4 (pow b 2)) 0.512 * [approximate]: Taking taylor expansion of (* 4 (pow b 2)) in (b) around 0 0.512 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.512 * [taylor]: Taking taylor expansion of 4 in b 0.512 * [backup-simplify]: Simplify 4 into 4 0.512 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.512 * [taylor]: Taking taylor expansion of b in b 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.513 * [taylor]: Taking taylor expansion of 4 in b 0.513 * [backup-simplify]: Simplify 4 into 4 0.513 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.513 * [taylor]: Taking taylor expansion of b in b 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (* 4 1) into 4 0.513 * [backup-simplify]: Simplify 4 into 4 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* 4 (pow b 2)) into (* 4 (pow b 2)) 0.522 * [backup-simplify]: Simplify (* (* (/ 1 b) (/ 1 b)) 4) into (/ 4 (pow b 2)) 0.522 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 0.522 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.522 * [taylor]: Taking taylor expansion of 4 in b 0.522 * [backup-simplify]: Simplify 4 into 4 0.522 * [taylor]: Taking taylor expansion of (pow b 2) 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 (/ 4 1) into 4 0.522 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.522 * [taylor]: Taking taylor expansion of 4 in b 0.522 * [backup-simplify]: Simplify 4 into 4 0.522 * [taylor]: Taking taylor expansion of (pow b 2) 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 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 4 1) into 4 0.523 * [backup-simplify]: Simplify 4 into 4 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.530 * [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 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 b)) 2)) into (* 4 (pow b 2)) 0.531 * [backup-simplify]: Simplify (* (* (/ 1 (- b)) (/ 1 (- b))) 4) into (/ 4 (pow b 2)) 0.531 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 0.531 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.531 * [taylor]: Taking taylor expansion of 4 in b 0.531 * [backup-simplify]: Simplify 4 into 4 0.531 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.531 * [taylor]: Taking taylor expansion of b in b 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 4 1) into 4 0.531 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 0.531 * [taylor]: Taking taylor expansion of 4 in b 0.531 * [backup-simplify]: Simplify 4 into 4 0.531 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.531 * [taylor]: Taking taylor expansion of b in b 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 4 1) into 4 0.532 * [backup-simplify]: Simplify 4 into 4 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 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 (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.539 * [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 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- b))) 2)) into (* 4 (pow b 2)) 0.540 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.540 * [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)))))) 0.540 * [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 0.540 * [taylor]: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) in a 0.540 * [taylor]: Taking taylor expansion of (pow b 4) in a 0.540 * [taylor]: Taking taylor expansion of b in a 0.540 * [backup-simplify]: Simplify b into b 0.540 * [taylor]: Taking taylor expansion of (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2))))) in a 0.540 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.540 * [taylor]: Taking taylor expansion of a in a 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))) in a 0.540 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in a 0.540 * [taylor]: Taking taylor expansion of 4 in a 0.540 * [backup-simplify]: Simplify 4 into 4 0.540 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.540 * [taylor]: Taking taylor expansion of b in a 0.540 * [backup-simplify]: Simplify b into b 0.540 * [taylor]: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a 0.540 * [taylor]: Taking taylor expansion of 2 in a 0.541 * [backup-simplify]: Simplify 2 into 2 0.541 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a 0.541 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.541 * [taylor]: Taking taylor expansion of a in a 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.541 * [taylor]: Taking taylor expansion of b in a 0.541 * [backup-simplify]: Simplify b into b 0.541 * [taylor]: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) in b 0.541 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.541 * [taylor]: Taking taylor expansion of b in b 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2))))) in b 0.541 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.541 * [taylor]: Taking taylor expansion of a in b 0.541 * [backup-simplify]: Simplify a into a 0.541 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))) in b 0.541 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.541 * [taylor]: Taking taylor expansion of 4 in b 0.541 * [backup-simplify]: Simplify 4 into 4 0.541 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.541 * [taylor]: Taking taylor expansion of b in b 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b 0.541 * [taylor]: Taking taylor expansion of 2 in b 0.541 * [backup-simplify]: Simplify 2 into 2 0.541 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.541 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.541 * [taylor]: Taking taylor expansion of a in b 0.541 * [backup-simplify]: Simplify a into a 0.541 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.541 * [taylor]: Taking taylor expansion of b in b 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))))) in b 0.541 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.541 * [taylor]: Taking taylor expansion of b in b 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of (+ (pow a 4) (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2))))) in b 0.541 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.541 * [taylor]: Taking taylor expansion of a in b 0.541 * [backup-simplify]: Simplify a into a 0.541 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (* 2 (* (pow a 2) (pow b 2)))) in b 0.541 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 0.541 * [taylor]: Taking taylor expansion of 4 in b 0.541 * [backup-simplify]: Simplify 4 into 4 0.541 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.541 * [taylor]: Taking taylor expansion of b in b 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b 0.541 * [taylor]: Taking taylor expansion of 2 in b 0.541 * [backup-simplify]: Simplify 2 into 2 0.541 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.541 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.541 * [taylor]: Taking taylor expansion of a in b 0.541 * [backup-simplify]: Simplify a into a 0.541 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.541 * [taylor]: Taking taylor expansion of b in b 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.542 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.542 * [backup-simplify]: Simplify (+ (pow a 4) 0) into (pow a 4) 0.542 * [backup-simplify]: Simplify (+ 0 (pow a 4)) into (pow a 4) 0.542 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.542 * [taylor]: Taking taylor expansion of a in a 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.542 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [taylor]: Taking taylor expansion of 0 in a 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.543 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (* 4 1) into 4 0.544 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.544 * [backup-simplify]: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) 0.544 * [backup-simplify]: Simplify (+ 4 (* 2 (pow a 2))) into (+ (* 2 (pow a 2)) 4) 0.544 * [backup-simplify]: Simplify (+ 0 (+ (* 2 (pow a 2)) 4)) into (+ (* 2 (pow a 2)) 4) 0.544 * [backup-simplify]: Simplify (+ 0 (+ (* 2 (pow a 2)) 4)) into (+ (* 2 (pow a 2)) 4) 0.544 * [taylor]: Taking taylor expansion of (+ (* 2 (pow a 2)) 4) in a 0.544 * [taylor]: Taking taylor expansion of (* 2 (pow a 2)) in a 0.544 * [taylor]: Taking taylor expansion of 2 in a 0.544 * [backup-simplify]: Simplify 2 into 2 0.544 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.544 * [taylor]: Taking taylor expansion of a in a 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of 4 in a 0.544 * [backup-simplify]: Simplify 4 into 4 0.545 * [backup-simplify]: Simplify (+ 0 4) into 4 0.545 * [backup-simplify]: Simplify 4 into 4 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.549 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [taylor]: Taking taylor expansion of 0 in a 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 0.554 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2)))))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.557 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.558 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ 1 0) into 1 0.560 * [taylor]: Taking taylor expansion of 1 in a 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (* 2 1) into 2 0.562 * [backup-simplify]: Simplify (+ 2 0) into 2 0.562 * [backup-simplify]: Simplify 2 into 2 0.562 * [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)))) 0.563 * [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)))))) 0.563 * [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 0.563 * [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 0.563 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in a 0.563 * [taylor]: Taking taylor expansion of 2 in a 0.563 * [backup-simplify]: Simplify 2 into 2 0.563 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in a 0.563 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a 0.563 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.563 * [taylor]: Taking taylor expansion of a in a 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.563 * [taylor]: Taking taylor expansion of b in a 0.563 * [backup-simplify]: Simplify b into b 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.564 * [backup-simplify]: Simplify (* 1 (pow b 2)) into (pow b 2) 0.564 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in a 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.564 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.564 * [taylor]: Taking taylor expansion of a in a 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in a 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in a 0.565 * [taylor]: Taking taylor expansion of (pow b 4) in a 0.565 * [taylor]: Taking taylor expansion of b in a 0.565 * [backup-simplify]: Simplify b into b 0.565 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.565 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 0.565 * [backup-simplify]: Simplify (/ 1 (pow b 4)) into (/ 1 (pow b 4)) 0.565 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in a 0.565 * [taylor]: Taking taylor expansion of 4 in a 0.565 * [backup-simplify]: Simplify 4 into 4 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.566 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.566 * [taylor]: Taking taylor expansion of b in a 0.566 * [backup-simplify]: Simplify b into b 0.566 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.566 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.566 * [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 0.566 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in b 0.566 * [taylor]: Taking taylor expansion of 2 in b 0.566 * [backup-simplify]: Simplify 2 into 2 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in b 0.566 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.566 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.566 * [taylor]: Taking taylor expansion of a in b 0.566 * [backup-simplify]: Simplify a into a 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 (* a a) into (pow a 2) 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.566 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.566 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.566 * [taylor]: Taking taylor expansion of a in b 0.566 * [backup-simplify]: Simplify a into a 0.566 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.566 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.566 * [backup-simplify]: Simplify (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.566 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.566 * [taylor]: Taking taylor expansion of b in b 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.567 * [taylor]: Taking taylor expansion of 4 in b 0.567 * [backup-simplify]: Simplify 4 into 4 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.567 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.567 * [taylor]: Taking taylor expansion of b in b 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [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 0.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in b 0.568 * [taylor]: Taking taylor expansion of 2 in b 0.568 * [backup-simplify]: Simplify 2 into 2 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in b 0.568 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.568 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.568 * [taylor]: Taking taylor expansion of a in b 0.568 * [backup-simplify]: Simplify a into a 0.568 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.568 * [taylor]: Taking taylor expansion of b in b 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.568 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.568 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.569 * [taylor]: Taking taylor expansion of a in b 0.569 * [backup-simplify]: Simplify a into a 0.569 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.569 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.569 * [backup-simplify]: Simplify (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.569 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.569 * [taylor]: Taking taylor expansion of b in b 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.569 * [taylor]: Taking taylor expansion of 4 in b 0.570 * [backup-simplify]: Simplify 4 into 4 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.570 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.570 * [taylor]: Taking taylor expansion of b in b 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (+ 0 1) into 1 0.573 * [backup-simplify]: Simplify (+ 0 1) into 1 0.573 * [taylor]: Taking taylor expansion of 1 in a 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [taylor]: Taking taylor expansion of 0 in a 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (* 4 1) into 4 0.577 * [backup-simplify]: Simplify (+ 0 4) into 4 0.577 * [backup-simplify]: Simplify (+ 0 4) into 4 0.577 * [backup-simplify]: Simplify (+ (/ 2 (pow a 2)) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 0.577 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 0.577 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 0.577 * [taylor]: Taking taylor expansion of 2 in a 0.578 * [backup-simplify]: Simplify 2 into 2 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.578 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.578 * [taylor]: Taking taylor expansion of a in a 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [taylor]: Taking taylor expansion of 4 in a 0.578 * [backup-simplify]: Simplify 4 into 4 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.579 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [taylor]: Taking taylor expansion of 0 in a 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.584 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.584 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 0.589 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.589 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.589 * [taylor]: Taking taylor expansion of a in a 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (* 2 1) into 2 0.592 * [backup-simplify]: Simplify (+ 2 0) into 2 0.592 * [backup-simplify]: Simplify 2 into 2 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [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))) 0.593 * [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)))))) 0.593 * [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 0.593 * [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 0.593 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in a 0.593 * [taylor]: Taking taylor expansion of 2 in a 0.593 * [backup-simplify]: Simplify 2 into 2 0.593 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in a 0.593 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a 0.593 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.594 * [taylor]: Taking taylor expansion of a in a 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.594 * [taylor]: Taking taylor expansion of b in a 0.594 * [backup-simplify]: Simplify b into b 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.594 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.594 * [backup-simplify]: Simplify (* 1 (pow b 2)) into (pow b 2) 0.595 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in a 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.595 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.595 * [taylor]: Taking taylor expansion of a in a 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.596 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in a 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) 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 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.596 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 0.596 * [backup-simplify]: Simplify (/ 1 (pow b 4)) into (/ 1 (pow b 4)) 0.596 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (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 (/ 1 (pow b 2)) in a 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 0.597 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.597 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.597 * [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 0.597 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (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 (/ 1 (* (pow a 2) (pow b 2))) in b 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 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.598 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.598 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.598 * [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 * [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 (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.598 * [taylor]: Taking taylor expansion of (pow b 4) 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 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.600 * [taylor]: Taking taylor expansion of 4 in b 0.600 * [backup-simplify]: Simplify 4 into 4 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.600 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.600 * [taylor]: Taking taylor expansion of b in b 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow a 2) (pow b 2)))) in b 0.601 * [taylor]: Taking taylor expansion of 2 in b 0.601 * [backup-simplify]: Simplify 2 into 2 0.601 * [taylor]: Taking taylor expansion of (/ 1 (* (pow a 2) (pow b 2))) in b 0.601 * [taylor]: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b 0.601 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.601 * [taylor]: Taking taylor expansion of a in b 0.601 * [backup-simplify]: Simplify a into a 0.601 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.601 * [taylor]: Taking taylor expansion of b in b 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (* (pow a 2) 1) into (pow a 2) 0.602 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2))))) in b 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in b 0.602 * [taylor]: Taking taylor expansion of (pow a 4) in b 0.602 * [taylor]: Taking taylor expansion of a in b 0.602 * [backup-simplify]: Simplify a into a 0.602 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.602 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 0.602 * [backup-simplify]: Simplify (/ 1 (pow a 4)) into (/ 1 (pow a 4)) 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 4 (/ 1 (pow b 2)))) in b 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 0.602 * [taylor]: Taking taylor expansion of (pow b 4) in b 0.602 * [taylor]: Taking taylor expansion of b in b 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 0.603 * [taylor]: Taking taylor expansion of 4 in b 0.603 * [backup-simplify]: Simplify 4 into 4 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.603 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.603 * [taylor]: Taking taylor expansion of b in b 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [backup-simplify]: Simplify (+ 1 0) into 1 0.605 * [backup-simplify]: Simplify (+ 0 1) into 1 0.605 * [backup-simplify]: Simplify (+ 0 1) into 1 0.605 * [taylor]: Taking taylor expansion of 1 in a 0.605 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in a 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (* 4 1) into 4 0.612 * [backup-simplify]: Simplify (+ 0 4) into 4 0.613 * [backup-simplify]: Simplify (+ 0 4) into 4 0.613 * [backup-simplify]: Simplify (+ (/ 2 (pow a 2)) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 0.613 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 0.613 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 0.613 * [taylor]: Taking taylor expansion of 2 in a 0.613 * [backup-simplify]: Simplify 2 into 2 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.613 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.613 * [taylor]: Taking taylor expansion of a in a 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [taylor]: Taking taylor expansion of 4 in a 0.614 * [backup-simplify]: Simplify 4 into 4 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.615 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 0.615 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [taylor]: Taking taylor expansion of 0 in a 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.621 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 0.622 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 0.626 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 0.627 * [taylor]: Taking taylor expansion of (pow a 4) in a 0.627 * [taylor]: Taking taylor expansion of a in a 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* 2 1) into 2 0.628 * [backup-simplify]: Simplify (+ 2 0) into 2 0.628 * [backup-simplify]: Simplify 2 into 2 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [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))) 0.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.628 * [backup-simplify]: Simplify (+ (* a a) (* b b)) into (+ (pow a 2) (pow b 2)) 0.628 * [approximate]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in (a b) around 0 0.629 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 0.629 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.629 * [taylor]: Taking taylor expansion of a in b 0.629 * [backup-simplify]: Simplify a into a 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 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.629 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.629 * [taylor]: Taking taylor expansion of a in a 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.629 * [taylor]: Taking taylor expansion of b in a 0.629 * [backup-simplify]: Simplify b into b 0.629 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 0.629 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.629 * [taylor]: Taking taylor expansion of a in a 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.629 * [taylor]: Taking taylor expansion of b in a 0.629 * [backup-simplify]: Simplify b into b 0.629 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.629 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 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 (+ (* b 0) (* 0 b)) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [taylor]: Taking taylor expansion of 0 in b 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.630 * [backup-simplify]: Simplify (+ 1 0) into 1 0.630 * [taylor]: Taking taylor expansion of 1 in b 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [taylor]: Taking taylor expansion of 0 in b 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.633 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [taylor]: Taking taylor expansion of 0 in b 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (+ (pow a 2) (pow b 2)) 0.634 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 0.634 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.634 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.634 * [taylor]: Taking taylor expansion of a in b 0.634 * [backup-simplify]: Simplify a into a 0.634 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.634 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.634 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.634 * [taylor]: Taking taylor expansion of b in b 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.635 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.635 * [taylor]: Taking taylor expansion of a in a 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.635 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.635 * [taylor]: Taking taylor expansion of b in a 0.635 * [backup-simplify]: Simplify b into b 0.635 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.636 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.636 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.636 * [taylor]: Taking taylor expansion of a in a 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (* 1 1) into 1 0.636 * [backup-simplify]: Simplify (/ 1 1) into 1 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.636 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.636 * [taylor]: Taking taylor expansion of b in a 0.636 * [backup-simplify]: Simplify b into b 0.636 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.636 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.637 * [backup-simplify]: Simplify (+ 1 0) into 1 0.637 * [taylor]: Taking taylor expansion of 1 in b 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [taylor]: Taking taylor expansion of 0 in b 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.639 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.639 * [taylor]: Taking taylor expansion of b in b 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [taylor]: Taking taylor expansion of 0 in b 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [taylor]: Taking taylor expansion of 0 in b 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (+ (pow a 2) (pow b 2)) 0.646 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 0.646 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.646 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.646 * [taylor]: Taking taylor expansion of a in b 0.646 * [backup-simplify]: Simplify a into a 0.646 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.646 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.646 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.646 * [taylor]: Taking taylor expansion of b in b 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.646 * [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 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.647 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.647 * [taylor]: Taking taylor expansion of b in a 0.647 * [backup-simplify]: Simplify b into b 0.647 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.647 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 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 (/ 1 (pow b 2)) in a 0.648 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.648 * [taylor]: Taking taylor expansion of b in a 0.648 * [backup-simplify]: Simplify b into b 0.648 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.648 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.648 * [backup-simplify]: Simplify (+ 1 0) into 1 0.648 * [taylor]: Taking taylor expansion of 1 in b 0.648 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in b 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.652 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.652 * [taylor]: Taking taylor expansion of b in b 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [taylor]: Taking taylor expansion of 0 in b 0.656 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [taylor]: Taking taylor expansion of 0 in b 0.661 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (+ (pow a 2) (pow b 2)) 0.664 * * * [progress]: simplifying candidates 0.664 * * * * [progress]: [ 1 / 94 ] simplifiying candidate # 0.664 * [simplify]: Simplifying (+ (* a a) (* b b)) 0.664 * * [simplify]: iters left: 4 (5 enodes) 0.666 * * [simplify]: iters left: 3 (16 enodes) 0.671 * * [simplify]: Extracting #0: cost 1 inf + 0 0.671 * * [simplify]: Extracting #1: cost 4 inf + 0 0.671 * * [simplify]: Extracting #2: cost 8 inf + 0 0.671 * * [simplify]: Extracting #3: cost 4 inf + 84 0.671 * * [simplify]: Extracting #4: cost 0 inf + 410 0.671 * [simplify]: Simplified to (+ (* a a) (* b b)) 0.671 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1 1))) 1)) 0.671 * [simplify]: Simplifying (+ 1 1) 0.672 * * [simplify]: iters left: 2 (2 enodes) 0.674 * * [simplify]: iters left: 1 (9 enodes) 0.677 * * [simplify]: Extracting #0: cost 1 inf + 0 0.677 * * [simplify]: Extracting #1: cost 0 inf + 1 0.677 * [simplify]: Simplified to 2 0.677 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 0.677 * * * * [progress]: [ 2 / 94 ] simplifiying candidate # 0.677 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 0.678 * * [simplify]: iters left: 6 (6 enodes) 0.680 * * [simplify]: iters left: 5 (25 enodes) 0.688 * * [simplify]: iters left: 4 (55 enodes) 0.707 * * [simplify]: iters left: 3 (127 enodes) 0.730 * * [simplify]: iters left: 2 (201 enodes) 0.772 * * [simplify]: iters left: 1 (287 enodes) 0.838 * * [simplify]: Extracting #0: cost 1 inf + 0 0.838 * * [simplify]: Extracting #1: cost 11 inf + 0 0.838 * * [simplify]: Extracting #2: cost 47 inf + 0 0.838 * * [simplify]: Extracting #3: cost 69 inf + 328 0.839 * * [simplify]: Extracting #4: cost 43 inf + 4414 0.841 * * [simplify]: Extracting #5: cost 1 inf + 11002 0.844 * * [simplify]: Extracting #6: cost 0 inf + 11044 0.847 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 0.847 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) 1)) 0.847 * * * * [progress]: [ 3 / 94 ] simplifiying candidate # 0.847 * * * * [progress]: [ 4 / 94 ] simplifiying candidate # 0.847 * [simplify]: Simplifying (+ (* a a) (* b b)) 0.847 * * [simplify]: iters left: 4 (5 enodes) 0.848 * * [simplify]: iters left: 3 (16 enodes) 0.851 * * [simplify]: Extracting #0: cost 1 inf + 0 0.851 * * [simplify]: Extracting #1: cost 4 inf + 0 0.851 * * [simplify]: Extracting #2: cost 8 inf + 0 0.851 * * [simplify]: Extracting #3: cost 4 inf + 84 0.851 * * [simplify]: Extracting #4: cost 0 inf + 410 0.851 * [simplify]: Simplified to (+ (* a a) (* b b)) 0.851 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1 1))) 1)) 0.851 * * * * [progress]: [ 5 / 94 ] simplifiying candidate # 0.851 * * * * [progress]: [ 6 / 94 ] simplifiying candidate # 0.851 * [simplify]: Simplifying (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) 0.851 * * [simplify]: iters left: 6 (7 enodes) 0.853 * * [simplify]: iters left: 5 (22 enodes) 0.856 * * [simplify]: Extracting #0: cost 1 inf + 0 0.856 * * [simplify]: Extracting #1: cost 3 inf + 0 0.856 * * [simplify]: Extracting #2: cost 5 inf + 0 0.856 * * [simplify]: Extracting #3: cost 8 inf + 0 0.856 * * [simplify]: Extracting #4: cost 12 inf + 0 0.858 * * [simplify]: Extracting #5: cost 10 inf + 2 0.858 * * [simplify]: Extracting #6: cost 1 inf + 1026 0.859 * * [simplify]: Extracting #7: cost 0 inf + 1258 0.859 * [simplify]: Simplified to (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) 0.859 * [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)) 0.859 * * * * [progress]: [ 7 / 94 ] simplifiying candidate # 0.860 * * * * [progress]: [ 8 / 94 ] simplifiying candidate # 0.860 * * * * [progress]: [ 9 / 94 ] simplifiying candidate # 0.860 * [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)))) 0.860 * * [simplify]: iters left: 6 (8 enodes) 0.864 * * [simplify]: iters left: 5 (44 enodes) 0.881 * * [simplify]: iters left: 4 (215 enodes) 1.049 * * [simplify]: Extracting #0: cost 1 inf + 0 1.049 * * [simplify]: Extracting #1: cost 18 inf + 0 1.049 * * [simplify]: Extracting #2: cost 163 inf + 2 1.051 * * [simplify]: Extracting #3: cost 293 inf + 3397 1.059 * * [simplify]: Extracting #4: cost 133 inf + 39984 1.077 * * [simplify]: Extracting #5: cost 0 inf + 74339 1.113 * [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))))) 1.114 * [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)) 1.114 * * * * [progress]: [ 10 / 94 ] simplifiying candidate # 1.114 * * * * [progress]: [ 11 / 94 ] simplifiying candidate # 1.114 * * * * [progress]: [ 12 / 94 ] simplifiying candidate # 1.114 * * * * [progress]: [ 13 / 94 ] simplifiying candidate # 1.114 * [simplify]: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) 1.115 * * [simplify]: iters left: 6 (9 enodes) 1.120 * * [simplify]: iters left: 5 (51 enodes) 1.149 * * [simplify]: iters left: 4 (160 enodes) 1.219 * * [simplify]: Extracting #0: cost 1 inf + 0 1.219 * * [simplify]: Extracting #1: cost 16 inf + 0 1.219 * * [simplify]: Extracting #2: cost 133 inf + 0 1.220 * * [simplify]: Extracting #3: cost 176 inf + 762 1.221 * * [simplify]: Extracting #4: cost 123 inf + 16423 1.234 * * [simplify]: Extracting #5: cost 13 inf + 58511 1.257 * * [simplify]: Extracting #6: cost 0 inf + 53995 1.267 * [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))))) 1.268 * [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)) 1.268 * [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))))) 1.268 * * [simplify]: iters left: 6 (10 enodes) 1.271 * * [simplify]: iters left: 5 (58 enodes) 1.283 * * [simplify]: iters left: 4 (167 enodes) 1.344 * * [simplify]: Extracting #0: cost 1 inf + 0 1.344 * * [simplify]: Extracting #1: cost 22 inf + 0 1.344 * * [simplify]: Extracting #2: cost 151 inf + 0 1.346 * * [simplify]: Extracting #3: cost 201 inf + 2913 1.357 * * [simplify]: Extracting #4: cost 75 inf + 31708 1.379 * * [simplify]: Extracting #5: cost 1 inf + 52543 1.402 * * [simplify]: Extracting #6: cost 0 inf + 52195 1.424 * * [simplify]: Extracting #7: cost 0 inf + 52115 1.447 * [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)))) 1.447 * [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)) 1.448 * * * * [progress]: [ 14 / 94 ] simplifiying candidate # 1.448 * [simplify]: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 1.448 * * [simplify]: iters left: 6 (12 enodes) 1.455 * * [simplify]: iters left: 5 (66 enodes) 1.485 * * [simplify]: iters left: 4 (143 enodes) 1.538 * * [simplify]: iters left: 3 (423 enodes) 1.808 * * [simplify]: Extracting #0: cost 1 inf + 0 1.809 * * [simplify]: Extracting #1: cost 62 inf + 0 1.809 * * [simplify]: Extracting #2: cost 362 inf + 0 1.812 * * [simplify]: Extracting #3: cost 577 inf + 6798 1.830 * * [simplify]: Extracting #4: cost 228 inf + 97883 1.881 * * [simplify]: Extracting #5: cost 23 inf + 172382 1.928 * * [simplify]: Extracting #6: cost 1 inf + 181419 1.988 * * [simplify]: Extracting #7: cost 0 inf + 181671 2.041 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 2.041 * [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)) 2.041 * [simplify]: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))) 2.041 * * [simplify]: iters left: 6 (11 enodes) 2.044 * * [simplify]: iters left: 5 (61 enodes) 2.056 * * [simplify]: iters left: 4 (156 enodes) 2.091 * * [simplify]: iters left: 3 (447 enodes) 2.413 * * [simplify]: Extracting #0: cost 1 inf + 0 2.414 * * [simplify]: Extracting #1: cost 64 inf + 0 2.416 * * [simplify]: Extracting #2: cost 365 inf + 0 2.430 * * [simplify]: Extracting #3: cost 442 inf + 18694 2.462 * * [simplify]: Extracting #4: cost 138 inf + 82867 2.517 * * [simplify]: Extracting #5: cost 3 inf + 116392 2.546 * * [simplify]: Extracting #6: cost 0 inf + 116018 2.603 * [simplify]: Simplified to (* (- (* a a) (* b b)) (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))) 2.603 * [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)) 2.603 * * * * [progress]: [ 15 / 94 ] simplifiying candidate # 2.604 * [simplify]: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3))) 2.604 * * [simplify]: iters left: 6 (12 enodes) 2.612 * * [simplify]: iters left: 5 (72 enodes) 2.646 * * [simplify]: iters left: 4 (203 enodes) 2.740 * * [simplify]: Extracting #0: cost 1 inf + 0 2.740 * * [simplify]: Extracting #1: cost 28 inf + 0 2.741 * * [simplify]: Extracting #2: cost 206 inf + 0 2.746 * * [simplify]: Extracting #3: cost 226 inf + 13759 2.767 * * [simplify]: Extracting #4: cost 62 inf + 52267 2.798 * * [simplify]: Extracting #5: cost 0 inf + 75574 2.826 * [simplify]: Simplified to (* (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 2.826 * [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)) 2.827 * [simplify]: Simplifying (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 2.827 * * [simplify]: iters left: 6 (11 enodes) 2.833 * * [simplify]: iters left: 5 (67 enodes) 2.861 * * [simplify]: iters left: 4 (206 enodes) 2.936 * * [simplify]: Extracting #0: cost 1 inf + 0 2.936 * * [simplify]: Extracting #1: cost 34 inf + 0 2.937 * * [simplify]: Extracting #2: cost 191 inf + 0 2.941 * * [simplify]: Extracting #3: cost 167 inf + 14554 2.959 * * [simplify]: Extracting #4: cost 20 inf + 42275 2.979 * * [simplify]: Extracting #5: cost 0 inf + 46294 2.999 * * [simplify]: Extracting #6: cost 0 inf + 46214 3.019 * [simplify]: Simplified to (+ (* (* b b) (* (* b b) (- (* a a) (* b b)))) (* (- (* a a) (* b b)) (* (* a a) (- (* a a) (* b b))))) 3.019 * [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)) 3.020 * * * * [progress]: [ 16 / 94 ] simplifiying candidate # 3.020 * [simplify]: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 3.020 * * [simplify]: iters left: 6 (8 enodes) 3.024 * * [simplify]: iters left: 5 (37 enodes) 3.036 * * [simplify]: iters left: 4 (80 enodes) 3.053 * * [simplify]: iters left: 3 (258 enodes) 3.273 * * [simplify]: Extracting #0: cost 1 inf + 0 3.273 * * [simplify]: Extracting #1: cost 70 inf + 0 3.275 * * [simplify]: Extracting #2: cost 328 inf + 0 3.281 * * [simplify]: Extracting #3: cost 375 inf + 14595 3.301 * * [simplify]: Extracting #4: cost 75 inf + 83409 3.332 * * [simplify]: Extracting #5: cost 7 inf + 101447 3.357 * * [simplify]: Extracting #6: cost 0 inf + 103613 3.382 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 3.382 * [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)) 3.383 * [simplify]: Simplifying (* (- (* a a) (* b b)) (- (* a a) (* b b))) 3.383 * * [simplify]: iters left: 6 (6 enodes) 3.384 * * [simplify]: iters left: 5 (23 enodes) 3.388 * * [simplify]: iters left: 4 (49 enodes) 3.398 * * [simplify]: iters left: 3 (161 enodes) 3.518 * * [simplify]: Extracting #0: cost 1 inf + 0 3.518 * * [simplify]: Extracting #1: cost 43 inf + 0 3.519 * * [simplify]: Extracting #2: cost 161 inf + 0 3.521 * * [simplify]: Extracting #3: cost 180 inf + 1588 3.528 * * [simplify]: Extracting #4: cost 63 inf + 19808 3.540 * * [simplify]: Extracting #5: cost 0 inf + 30333 3.551 * * [simplify]: Extracting #6: cost 0 inf + 30253 3.558 * [simplify]: Simplified to (* (- (* a a) (* b b)) (- (* a a) (* b b))) 3.559 * [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)) 3.559 * * * * [progress]: [ 17 / 94 ] simplifiying candidate # 3.559 * * * * [progress]: [ 18 / 94 ] simplifiying candidate # 3.559 * [simplify]: Simplifying (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 3.559 * * [simplify]: iters left: 6 (8 enodes) 3.561 * * [simplify]: iters left: 5 (29 enodes) 3.566 * * [simplify]: iters left: 4 (33 enodes) 3.573 * * [simplify]: iters left: 3 (44 enodes) 3.591 * * [simplify]: iters left: 2 (76 enodes) 3.621 * * [simplify]: iters left: 1 (140 enodes) 3.653 * * [simplify]: Extracting #0: cost 1 inf + 0 3.653 * * [simplify]: Extracting #1: cost 15 inf + 0 3.653 * * [simplify]: Extracting #2: cost 49 inf + 1 3.653 * * [simplify]: Extracting #3: cost 47 inf + 91 3.657 * * [simplify]: Extracting #4: cost 33 inf + 2899 3.660 * * [simplify]: Extracting #5: cost 4 inf + 16119 3.665 * * [simplify]: Extracting #6: cost 0 inf + 18353 3.670 * [simplify]: Simplified to (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) 3.670 * [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)) 3.671 * [simplify]: Simplifying (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 3.671 * * [simplify]: iters left: 6 (7 enodes) 3.674 * * [simplify]: iters left: 5 (22 enodes) 3.680 * * [simplify]: Extracting #0: cost 1 inf + 0 3.680 * * [simplify]: Extracting #1: cost 3 inf + 0 3.680 * * [simplify]: Extracting #2: cost 5 inf + 0 3.680 * * [simplify]: Extracting #3: cost 8 inf + 0 3.680 * * [simplify]: Extracting #4: cost 12 inf + 0 3.680 * * [simplify]: Extracting #5: cost 10 inf + 2 3.680 * * [simplify]: Extracting #6: cost 1 inf + 1056 3.681 * * [simplify]: Extracting #7: cost 0 inf + 1298 3.681 * [simplify]: Simplified to (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 3.681 * [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)) 3.681 * * * * [progress]: [ 19 / 94 ] simplifiying candidate # 3.682 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 3.682 * * [simplify]: iters left: 6 (7 enodes) 3.685 * * [simplify]: iters left: 5 (20 enodes) 3.687 * * [simplify]: iters left: 4 (21 enodes) 3.690 * * [simplify]: Extracting #0: cost 1 inf + 0 3.690 * * [simplify]: Extracting #1: cost 5 inf + 0 3.690 * * [simplify]: Extracting #2: cost 10 inf + 0 3.690 * * [simplify]: Extracting #3: cost 6 inf + 84 3.690 * * [simplify]: Extracting #4: cost 2 inf + 410 3.690 * * [simplify]: Extracting #5: cost 0 inf + 734 3.691 * [simplify]: Simplified to (+ (* a a) (* b b)) 3.691 * [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)) 3.691 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 3.691 * * [simplify]: iters left: 6 (7 enodes) 3.692 * * [simplify]: iters left: 5 (20 enodes) 3.695 * * [simplify]: iters left: 4 (21 enodes) 3.698 * * [simplify]: Extracting #0: cost 1 inf + 0 3.698 * * [simplify]: Extracting #1: cost 5 inf + 0 3.698 * * [simplify]: Extracting #2: cost 10 inf + 0 3.698 * * [simplify]: Extracting #3: cost 6 inf + 84 3.698 * * [simplify]: Extracting #4: cost 2 inf + 410 3.698 * * [simplify]: Extracting #5: cost 0 inf + 734 3.698 * [simplify]: Simplified to (+ (* a a) (* b b)) 3.698 * [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)) 3.698 * * * * [progress]: [ 20 / 94 ] simplifiying candidate # 3.699 * [simplify]: Simplifying (* 1 1) 3.699 * * [simplify]: iters left: 2 (2 enodes) 3.700 * * [simplify]: iters left: 1 (6 enodes) 3.701 * * [simplify]: Extracting #0: cost 1 inf + 0 3.701 * * [simplify]: Extracting #1: cost 0 inf + 1 3.701 * [simplify]: Simplified to 1 3.701 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 1)) 3.702 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3.702 * * [simplify]: iters left: 6 (6 enodes) 3.703 * * [simplify]: iters left: 5 (25 enodes) 3.707 * * [simplify]: iters left: 4 (55 enodes) 3.717 * * [simplify]: iters left: 3 (127 enodes) 3.738 * * [simplify]: iters left: 2 (201 enodes) 3.778 * * [simplify]: iters left: 1 (287 enodes) 3.852 * * [simplify]: Extracting #0: cost 1 inf + 0 3.852 * * [simplify]: Extracting #1: cost 11 inf + 0 3.852 * * [simplify]: Extracting #2: cost 47 inf + 0 3.853 * * [simplify]: Extracting #3: cost 69 inf + 328 3.854 * * [simplify]: Extracting #4: cost 43 inf + 4414 3.859 * * [simplify]: Extracting #5: cost 1 inf + 11002 3.864 * * [simplify]: Extracting #6: cost 0 inf + 11044 3.870 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3.870 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 1)) 3.870 * * * * [progress]: [ 21 / 94 ] simplifiying candidate # 3.871 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 3.871 * * [simplify]: iters left: 6 (7 enodes) 3.874 * * [simplify]: iters left: 5 (20 enodes) 3.880 * * [simplify]: iters left: 4 (21 enodes) 3.885 * * [simplify]: Extracting #0: cost 1 inf + 0 3.885 * * [simplify]: Extracting #1: cost 5 inf + 0 3.885 * * [simplify]: Extracting #2: cost 10 inf + 0 3.885 * * [simplify]: Extracting #3: cost 6 inf + 84 3.886 * * [simplify]: Extracting #4: cost 2 inf + 410 3.886 * * [simplify]: Extracting #5: cost 0 inf + 734 3.886 * [simplify]: Simplified to (+ (* a a) (* b b)) 3.886 * [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)) 3.887 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b)))) 3.887 * * [simplify]: iters left: 6 (7 enodes) 3.890 * * [simplify]: iters left: 5 (20 enodes) 3.895 * * [simplify]: iters left: 4 (21 enodes) 3.901 * * [simplify]: Extracting #0: cost 1 inf + 0 3.901 * * [simplify]: Extracting #1: cost 5 inf + 0 3.901 * * [simplify]: Extracting #2: cost 10 inf + 0 3.901 * * [simplify]: Extracting #3: cost 6 inf + 84 3.901 * * [simplify]: Extracting #4: cost 2 inf + 410 3.902 * * [simplify]: Extracting #5: cost 0 inf + 734 3.902 * [simplify]: Simplified to (+ (* a a) (* b b)) 3.902 * [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)) 3.902 * * * * [progress]: [ 22 / 94 ] simplifiying candidate # 3.902 * [simplify]: Simplifying (+ (* a a) (* b b)) 3.902 * * [simplify]: iters left: 4 (5 enodes) 3.905 * * [simplify]: iters left: 3 (16 enodes) 3.907 * * [simplify]: Extracting #0: cost 1 inf + 0 3.907 * * [simplify]: Extracting #1: cost 4 inf + 0 3.907 * * [simplify]: Extracting #2: cost 8 inf + 0 3.907 * * [simplify]: Extracting #3: cost 4 inf + 84 3.907 * * [simplify]: Extracting #4: cost 0 inf + 410 3.907 * [simplify]: Simplified to (+ (* a a) (* b b)) 3.907 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (* 2 1))) 1)) 3.908 * [simplify]: Simplifying (* 2 1) 3.908 * * [simplify]: iters left: 2 (3 enodes) 3.909 * * [simplify]: iters left: 1 (9 enodes) 3.911 * * [simplify]: Extracting #0: cost 1 inf + 0 3.911 * * [simplify]: Extracting #1: cost 0 inf + 1 3.911 * [simplify]: Simplified to 2 3.912 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 3.912 * * * * [progress]: [ 23 / 94 ] simplifiying candidate # 3.912 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (* b b)) 3.912 * * [simplify]: iters left: 6 (6 enodes) 3.914 * * [simplify]: iters left: 5 (22 enodes) 3.917 * * [simplify]: iters left: 4 (33 enodes) 3.923 * * [simplify]: iters left: 3 (59 enodes) 3.934 * * [simplify]: iters left: 2 (89 enodes) 3.947 * * [simplify]: iters left: 1 (100 enodes) 3.960 * * [simplify]: Extracting #0: cost 1 inf + 0 3.960 * * [simplify]: Extracting #1: cost 8 inf + 0 3.960 * * [simplify]: Extracting #2: cost 20 inf + 123 3.960 * * [simplify]: Extracting #3: cost 24 inf + 328 3.960 * * [simplify]: Extracting #4: cost 13 inf + 1148 3.961 * * [simplify]: Extracting #5: cost 2 inf + 2848 3.962 * * [simplify]: Extracting #6: cost 0 inf + 3102 3.962 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 3.962 * [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)) 3.962 * * * * [progress]: [ 24 / 94 ] simplifiying candidate # 3.962 * [simplify]: Simplifying (* (* b b) (+ (* a a) (* b b))) 3.963 * * [simplify]: iters left: 6 (6 enodes) 3.964 * * [simplify]: iters left: 5 (27 enodes) 3.969 * * [simplify]: iters left: 4 (59 enodes) 3.985 * * [simplify]: iters left: 3 (95 enodes) 4.007 * * [simplify]: iters left: 2 (106 enodes) 4.031 * * [simplify]: iters left: 1 (135 enodes) 4.071 * * [simplify]: Extracting #0: cost 1 inf + 0 4.072 * * [simplify]: Extracting #1: cost 8 inf + 0 4.072 * * [simplify]: Extracting #2: cost 25 inf + 1 4.072 * * [simplify]: Extracting #3: cost 31 inf + 779 4.073 * * [simplify]: Extracting #4: cost 13 inf + 2389 4.075 * * [simplify]: Extracting #5: cost 0 inf + 5807 4.076 * [simplify]: Simplified to (* (* b b) (+ (* b b) (* a a))) 4.076 * [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)) 4.076 * * * * [progress]: [ 25 / 94 ] simplifiying candidate # 4.077 * [simplify]: Simplifying (cbrt (+ (* a a) (* b b))) 4.077 * * [simplify]: iters left: 5 (6 enodes) 4.079 * * [simplify]: iters left: 4 (19 enodes) 4.084 * * [simplify]: Extracting #0: cost 1 inf + 0 4.084 * * [simplify]: Extracting #1: cost 3 inf + 0 4.084 * * [simplify]: Extracting #2: cost 6 inf + 0 4.084 * * [simplify]: Extracting #3: cost 10 inf + 0 4.085 * * [simplify]: Extracting #4: cost 6 inf + 84 4.085 * * [simplify]: Extracting #5: cost 0 inf + 814 4.085 * [simplify]: Simplified to (cbrt (+ (* a a) (* b b))) 4.085 * [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)) 4.085 * * * * [progress]: [ 26 / 94 ] simplifiying candidate # 4.086 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 4.086 * * [simplify]: iters left: 5 (6 enodes) 4.088 * * [simplify]: iters left: 4 (19 enodes) 4.093 * * [simplify]: Extracting #0: cost 1 inf + 0 4.093 * * [simplify]: Extracting #1: cost 3 inf + 0 4.093 * * [simplify]: Extracting #2: cost 6 inf + 0 4.093 * * [simplify]: Extracting #3: cost 10 inf + 0 4.093 * * [simplify]: Extracting #4: cost 6 inf + 84 4.094 * * [simplify]: Extracting #5: cost 0 inf + 734 4.094 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 4.094 * [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)) 4.094 * * * * [progress]: [ 27 / 94 ] simplifiying candidate # 4.094 * [simplify]: Simplifying (+ (* a a) (* b b)) 4.094 * * [simplify]: iters left: 4 (5 enodes) 4.097 * * [simplify]: iters left: 3 (16 enodes) 4.101 * * [simplify]: Extracting #0: cost 1 inf + 0 4.101 * * [simplify]: Extracting #1: cost 4 inf + 0 4.101 * * [simplify]: Extracting #2: cost 8 inf + 0 4.101 * * [simplify]: Extracting #3: cost 4 inf + 84 4.101 * * [simplify]: Extracting #4: cost 0 inf + 410 4.101 * [simplify]: Simplified to (+ (* a a) (* b b)) 4.101 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (* (+ (* a a) (* b b)) 1) (+ (* a a) (* b b)))) 1)) 4.101 * * * * [progress]: [ 28 / 94 ] simplifiying candidate # 4.102 * [simplify]: Simplifying (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 4.102 * * [simplify]: iters left: 6 (7 enodes) 4.105 * * [simplify]: iters left: 5 (22 enodes) 4.110 * * [simplify]: Extracting #0: cost 1 inf + 0 4.111 * * [simplify]: Extracting #1: cost 3 inf + 0 4.111 * * [simplify]: Extracting #2: cost 5 inf + 0 4.111 * * [simplify]: Extracting #3: cost 8 inf + 0 4.111 * * [simplify]: Extracting #4: cost 12 inf + 0 4.111 * * [simplify]: Extracting #5: cost 10 inf + 2 4.111 * * [simplify]: Extracting #6: cost 1 inf + 1056 4.112 * * [simplify]: Extracting #7: cost 0 inf + 1298 4.112 * [simplify]: Simplified to (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 4.112 * [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)) 4.112 * * * * [progress]: [ 29 / 94 ] simplifiying candidate # 4.112 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 4.113 * * [simplify]: iters left: 5 (6 enodes) 4.115 * * [simplify]: iters left: 4 (19 enodes) 4.120 * * [simplify]: Extracting #0: cost 1 inf + 0 4.120 * * [simplify]: Extracting #1: cost 3 inf + 0 4.121 * * [simplify]: Extracting #2: cost 6 inf + 0 4.121 * * [simplify]: Extracting #3: cost 10 inf + 0 4.121 * * [simplify]: Extracting #4: cost 6 inf + 84 4.121 * * [simplify]: Extracting #5: cost 0 inf + 734 4.121 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 4.121 * [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)) 4.121 * * * * [progress]: [ 30 / 94 ] simplifiying candidate # 4.122 * * * * [progress]: [ 31 / 94 ] simplifiying candidate # 4.122 * [simplify]: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) 4.122 * * [simplify]: iters left: 6 (9 enodes) 4.127 * * [simplify]: iters left: 5 (49 enodes) 4.146 * * [simplify]: iters left: 4 (116 enodes) 4.196 * * [simplify]: iters left: 3 (231 enodes) 4.263 * * [simplify]: iters left: 2 (363 enodes) 4.418 * * [simplify]: Extracting #0: cost 1 inf + 0 4.418 * * [simplify]: Extracting #1: cost 20 inf + 0 4.418 * * [simplify]: Extracting #2: cost 146 inf + 0 4.420 * * [simplify]: Extracting #3: cost 200 inf + 1989 4.428 * * [simplify]: Extracting #4: cost 63 inf + 22827 4.442 * * [simplify]: Extracting #5: cost 0 inf + 34174 4.456 * * [simplify]: Extracting #6: cost 0 inf + 34134 4.470 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 4.470 * [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)) 4.470 * * * * [progress]: [ 32 / 94 ] simplifiying candidate # 4.471 * [simplify]: Simplifying (- (* a a) (* b b)) 4.471 * * [simplify]: iters left: 4 (5 enodes) 4.473 * * [simplify]: iters left: 3 (20 enodes) 4.479 * * [simplify]: iters left: 2 (33 enodes) 4.485 * * [simplify]: iters left: 1 (50 enodes) 4.493 * * [simplify]: Extracting #0: cost 1 inf + 0 4.493 * * [simplify]: Extracting #1: cost 11 inf + 0 4.494 * * [simplify]: Extracting #2: cost 29 inf + 0 4.494 * * [simplify]: Extracting #3: cost 19 inf + 455 4.494 * * [simplify]: Extracting #4: cost 0 inf + 2130 4.495 * * [simplify]: Extracting #5: cost 0 inf + 1970 4.498 * [simplify]: Simplified to (* (+ a b) (- a b)) 4.498 * [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)) 4.498 * * * * [progress]: [ 33 / 94 ] simplifiying candidate # 4.498 * [simplify]: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (* a a) (* b b))) 4.498 * * [simplify]: iters left: 6 (10 enodes) 4.502 * * [simplify]: iters left: 5 (56 enodes) 4.518 * * [simplify]: iters left: 4 (153 enodes) 4.582 * * [simplify]: iters left: 3 (453 enodes) 4.823 * * [simplify]: Extracting #0: cost 1 inf + 0 4.823 * * [simplify]: Extracting #1: cost 19 inf + 0 4.824 * * [simplify]: Extracting #2: cost 189 inf + 0 4.827 * * [simplify]: Extracting #3: cost 312 inf + 2270 4.839 * * [simplify]: Extracting #4: cost 199 inf + 25582 4.869 * * [simplify]: Extracting #5: cost 44 inf + 78189 4.900 * * [simplify]: Extracting #6: cost 1 inf + 94748 4.932 * * [simplify]: Extracting #7: cost 0 inf + 95000 4.962 * [simplify]: Simplified to (* (+ (* (* a (* a a)) (* a (* a a))) (* (* (* b b) (* b b)) (* b b))) (+ (* a a) (* b b))) 4.962 * [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)) 4.963 * * * * [progress]: [ 34 / 94 ] simplifiying candidate # 4.963 * [simplify]: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) 4.963 * * [simplify]: iters left: 6 (9 enodes) 4.968 * * [simplify]: iters left: 5 (47 enodes) 4.987 * * [simplify]: iters left: 4 (121 enodes) 5.047 * * [simplify]: iters left: 3 (400 enodes) 5.294 * * [simplify]: Extracting #0: cost 1 inf + 0 5.295 * * [simplify]: Extracting #1: cost 50 inf + 0 5.296 * * [simplify]: Extracting #2: cost 238 inf + 0 5.300 * * [simplify]: Extracting #3: cost 291 inf + 8982 5.324 * * [simplify]: Extracting #4: cost 75 inf + 51475 5.345 * * [simplify]: Extracting #5: cost 18 inf + 67111 5.363 * * [simplify]: Extracting #6: cost 0 inf + 72498 5.392 * * [simplify]: Extracting #7: cost 0 inf + 72458 5.414 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- (* a a) (* b b))) 5.414 * [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)) 5.414 * * * * [progress]: [ 35 / 94 ] simplifiying candidate #real (real->posit16 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) 1))> 5.414 * * * * [progress]: [ 36 / 94 ] simplifiying candidate # 5.414 * * * * [progress]: [ 37 / 94 ] simplifiying candidate # 5.414 * [simplify]: Simplifying (* (* b b) 4) 5.414 * * [simplify]: iters left: 4 (4 enodes) 5.416 * * [simplify]: iters left: 3 (15 enodes) 5.418 * * [simplify]: iters left: 2 (19 enodes) 5.421 * * [simplify]: iters left: 1 (20 enodes) 5.423 * * [simplify]: Extracting #0: cost 1 inf + 0 5.423 * * [simplify]: Extracting #1: cost 6 inf + 0 5.423 * * [simplify]: Extracting #2: cost 6 inf + 2 5.424 * * [simplify]: Extracting #3: cost 0 inf + 332 5.424 * [simplify]: Simplified to (* 4 (* b b)) 5.424 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 5.424 * * * * [progress]: [ 38 / 94 ] simplifiying candidate # 5.424 * [simplify]: Simplifying (* (* b b) 4) 5.424 * * [simplify]: iters left: 4 (4 enodes) 5.425 * * [simplify]: iters left: 3 (15 enodes) 5.427 * * [simplify]: iters left: 2 (19 enodes) 5.430 * * [simplify]: iters left: 1 (20 enodes) 5.433 * * [simplify]: Extracting #0: cost 1 inf + 0 5.433 * * [simplify]: Extracting #1: cost 6 inf + 0 5.433 * * [simplify]: Extracting #2: cost 6 inf + 2 5.433 * * [simplify]: Extracting #3: cost 0 inf + 332 5.433 * [simplify]: Simplified to (* 4 (* b b)) 5.433 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 5.433 * * * * [progress]: [ 39 / 94 ] simplifiying candidate # 5.433 * * * * [progress]: [ 40 / 94 ] simplifiying candidate # 5.433 * [simplify]: Simplifying (+ (+ (log b) (log b)) (log 4)) 5.433 * * [simplify]: iters left: 5 (6 enodes) 5.437 * * [simplify]: iters left: 4 (21 enodes) 5.443 * * [simplify]: iters left: 3 (25 enodes) 5.450 * * [simplify]: iters left: 2 (26 enodes) 5.457 * * [simplify]: Extracting #0: cost 1 inf + 0 5.457 * * [simplify]: Extracting #1: cost 6 inf + 0 5.457 * * [simplify]: Extracting #2: cost 12 inf + 0 5.457 * * [simplify]: Extracting #3: cost 10 inf + 2 5.458 * * [simplify]: Extracting #4: cost 0 inf + 1316 5.458 * [simplify]: Simplified to (+ (+ (log b) (log b)) (log 4)) 5.458 * [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)) 5.458 * * * * [progress]: [ 41 / 94 ] simplifiying candidate # 5.458 * [simplify]: Simplifying (+ (log (* b b)) (log 4)) 5.459 * * [simplify]: iters left: 5 (6 enodes) 5.462 * * [simplify]: iters left: 4 (21 enodes) 5.469 * * [simplify]: iters left: 3 (27 enodes) 5.477 * * [simplify]: iters left: 2 (32 enodes) 5.485 * * [simplify]: Extracting #0: cost 1 inf + 0 5.485 * * [simplify]: Extracting #1: cost 6 inf + 0 5.485 * * [simplify]: Extracting #2: cost 13 inf + 0 5.485 * * [simplify]: Extracting #3: cost 12 inf + 2 5.485 * * [simplify]: Extracting #4: cost 4 inf + 913 5.486 * * [simplify]: Extracting #5: cost 0 inf + 1398 5.486 * [simplify]: Simplified to (+ (+ (log b) (log 4)) (log b)) 5.486 * [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)) 5.486 * * * * [progress]: [ 42 / 94 ] simplifiying candidate # 5.486 * * * * [progress]: [ 43 / 94 ] simplifiying candidate # 5.487 * * * * [progress]: [ 44 / 94 ] simplifiying candidate # 5.487 * [simplify]: Simplifying (* (* (* (* b b) b) (* (* b b) b)) (* (* 4 4) 4)) 5.487 * * [simplify]: iters left: 6 (8 enodes) 5.493 * * [simplify]: iters left: 5 (38 enodes) 5.511 * * [simplify]: iters left: 4 (98 enodes) 5.554 * * [simplify]: iters left: 3 (289 enodes) 5.731 * * [simplify]: Extracting #0: cost 1 inf + 0 5.731 * * [simplify]: Extracting #1: cost 53 inf + 0 5.732 * * [simplify]: Extracting #2: cost 102 inf + 886 5.734 * * [simplify]: Extracting #3: cost 45 inf + 8712 5.737 * * [simplify]: Extracting #4: cost 10 inf + 13910 5.740 * * [simplify]: Extracting #5: cost 0 inf + 16377 5.744 * [simplify]: Simplified to (* (* (* (* b b) (* b b)) 64) (* b b)) 5.744 * [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)) 5.744 * * * * [progress]: [ 45 / 94 ] simplifiying candidate # 5.744 * [simplify]: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* 4 4) 4)) 5.745 * * [simplify]: iters left: 6 (8 enodes) 5.748 * * [simplify]: iters left: 5 (39 enodes) 5.760 * * [simplify]: iters left: 4 (98 enodes) 5.791 * * [simplify]: iters left: 3 (283 enodes) 5.974 * * [simplify]: Extracting #0: cost 1 inf + 0 5.974 * * [simplify]: Extracting #1: cost 50 inf + 0 5.975 * * [simplify]: Extracting #2: cost 101 inf + 252 5.978 * * [simplify]: Extracting #3: cost 64 inf + 3759 5.984 * * [simplify]: Extracting #4: cost 17 inf + 12648 5.991 * * [simplify]: Extracting #5: cost 0 inf + 17704 5.998 * [simplify]: Simplified to (* (* 64 (* b b)) (* (* b b) (* b b))) 5.998 * [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)) 5.998 * * * * [progress]: [ 46 / 94 ] simplifiying candidate # 5.998 * * * * [progress]: [ 47 / 94 ] simplifiying candidate # 5.998 * * * * [progress]: [ 48 / 94 ] simplifiying candidate # 5.998 * * * * [progress]: [ 49 / 94 ] simplifiying candidate # 5.999 * * * * [progress]: [ 50 / 94 ] simplifiying candidate # 5.999 * [simplify]: Simplifying (* b (sqrt 4)) 5.999 * * [simplify]: iters left: 3 (4 enodes) 6.002 * * [simplify]: iters left: 2 (14 enodes) 6.006 * * [simplify]: Extracting #0: cost 1 inf + 0 6.006 * * [simplify]: Extracting #1: cost 4 inf + 0 6.006 * * [simplify]: Extracting #2: cost 2 inf + 2 6.006 * * [simplify]: Extracting #3: cost 0 inf + 86 6.006 * [simplify]: Simplified to (* 2 b) 6.006 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (* 2 b) (* b (sqrt 4))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.007 * [simplify]: Simplifying (* b (sqrt 4)) 6.007 * * [simplify]: iters left: 3 (4 enodes) 6.009 * * [simplify]: iters left: 2 (14 enodes) 6.011 * * [simplify]: Extracting #0: cost 1 inf + 0 6.011 * * [simplify]: Extracting #1: cost 4 inf + 0 6.011 * * [simplify]: Extracting #2: cost 2 inf + 2 6.011 * * [simplify]: Extracting #3: cost 0 inf + 86 6.011 * [simplify]: Simplified to (* 2 b) 6.011 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* b (sqrt 4)) (* 2 b)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.011 * * * * [progress]: [ 51 / 94 ] simplifiying candidate # 6.011 * [simplify]: Simplifying (cbrt 4) 6.011 * * [simplify]: iters left: 1 (2 enodes) 6.012 * * [simplify]: Extracting #0: cost 1 inf + 0 6.012 * * [simplify]: Extracting #1: cost 3 inf + 0 6.012 * * [simplify]: Extracting #2: cost 2 inf + 1 6.012 * * [simplify]: Extracting #3: cost 0 inf + 163 6.012 * [simplify]: Simplified to (cbrt 4) 6.012 * [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)) 6.013 * * * * [progress]: [ 52 / 94 ] simplifiying candidate # 6.013 * [simplify]: Simplifying (sqrt 4) 6.013 * * [simplify]: iters left: 1 (2 enodes) 6.014 * * [simplify]: Extracting #0: cost 1 inf + 0 6.014 * * [simplify]: Extracting #1: cost 0 inf + 1 6.014 * [simplify]: Simplified to 2 6.014 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* (* b b) (sqrt 4)) 2) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 6.014 * * * * [progress]: [ 53 / 94 ] simplifiying candidate # 6.014 * * * * [progress]: [ 54 / 94 ] simplifiying candidate # 6.014 * * * * [progress]: [ 55 / 94 ] simplifiying candidate #real (real->posit16 (* (* b b) 4))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1))> 6.014 * * * * [progress]: [ 56 / 94 ] simplifiying candidate # 6.014 * * * * [progress]: [ 57 / 94 ] simplifiying candidate # 6.014 * [simplify]: Simplifying (* (exp (* (* b b) 4)) (exp (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 6.014 * * [simplify]: iters left: 6 (11 enodes) 6.017 * * [simplify]: iters left: 5 (50 enodes) 6.027 * * [simplify]: iters left: 4 (117 enodes) 6.070 * * [simplify]: iters left: 3 (299 enodes) 6.188 * * [simplify]: Extracting #0: cost 1 inf + 0 6.188 * * [simplify]: Extracting #1: cost 22 inf + 0 6.189 * * [simplify]: Extracting #2: cost 135 inf + 0 6.190 * * [simplify]: Extracting #3: cost 196 inf + 1527 6.196 * * [simplify]: Extracting #4: cost 94 inf + 23900 6.211 * * [simplify]: Extracting #5: cost 20 inf + 43908 6.220 * * [simplify]: Extracting #6: cost 1 inf + 51217 6.231 * * [simplify]: Extracting #7: cost 0 inf + 51539 6.246 * [simplify]: Simplified to (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) 6.246 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) 1)) 6.246 * * * * [progress]: [ 58 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 59 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 60 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 61 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 62 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 63 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 64 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 65 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 66 / 94 ] simplifiying candidate # 6.246 * * * * [progress]: [ 67 / 94 ] simplifiying candidate # 6.247 * [simplify]: Simplifying (* (+ (* a a) (* b b)) (* b b)) 6.247 * * [simplify]: iters left: 6 (6 enodes) 6.248 * * [simplify]: iters left: 5 (22 enodes) 6.251 * * [simplify]: iters left: 4 (33 enodes) 6.257 * * [simplify]: iters left: 3 (59 enodes) 6.269 * * [simplify]: iters left: 2 (89 enodes) 6.281 * * [simplify]: iters left: 1 (100 enodes) 6.299 * * [simplify]: Extracting #0: cost 1 inf + 0 6.299 * * [simplify]: Extracting #1: cost 8 inf + 0 6.299 * * [simplify]: Extracting #2: cost 20 inf + 123 6.299 * * [simplify]: Extracting #3: cost 24 inf + 328 6.300 * * [simplify]: Extracting #4: cost 13 inf + 1148 6.301 * * [simplify]: Extracting #5: cost 2 inf + 2848 6.302 * * [simplify]: Extracting #6: cost 0 inf + 3102 6.303 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 6.303 * [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)) 6.303 * * * * [progress]: [ 68 / 94 ] simplifiying candidate # 6.304 * [simplify]: Simplifying (* (* b b) (+ (* a a) (* b b))) 6.304 * * [simplify]: iters left: 6 (6 enodes) 6.307 * * [simplify]: iters left: 5 (27 enodes) 6.316 * * [simplify]: iters left: 4 (59 enodes) 6.335 * * [simplify]: iters left: 3 (95 enodes) 6.353 * * [simplify]: iters left: 2 (106 enodes) 6.378 * * [simplify]: iters left: 1 (135 enodes) 6.408 * * [simplify]: Extracting #0: cost 1 inf + 0 6.408 * * [simplify]: Extracting #1: cost 8 inf + 0 6.408 * * [simplify]: Extracting #2: cost 25 inf + 1 6.409 * * [simplify]: Extracting #3: cost 31 inf + 779 6.409 * * [simplify]: Extracting #4: cost 13 inf + 2389 6.410 * * [simplify]: Extracting #5: cost 0 inf + 5807 6.411 * [simplify]: Simplified to (* (* b b) (+ (* b b) (* a a))) 6.411 * [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)) 6.411 * * * * [progress]: [ 69 / 94 ] simplifiying candidate #real (real->posit16 (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) 1))> 6.411 * * * * [progress]: [ 70 / 94 ] simplifiying candidate # 6.411 * * * * [progress]: [ 71 / 94 ] simplifiying candidate # 6.411 * [simplify]: Simplifying (* (exp (* a a)) (exp (* b b))) 6.411 * * [simplify]: iters left: 5 (7 enodes) 6.413 * * [simplify]: iters left: 4 (28 enodes) 6.417 * * [simplify]: iters left: 3 (43 enodes) 6.430 * * [simplify]: iters left: 2 (75 enodes) 6.456 * * [simplify]: iters left: 1 (169 enodes) 6.562 * * [simplify]: Extracting #0: cost 1 inf + 0 6.562 * * [simplify]: Extracting #1: cost 28 inf + 0 6.563 * * [simplify]: Extracting #2: cost 119 inf + 0 6.564 * * [simplify]: Extracting #3: cost 136 inf + 1135 6.565 * * [simplify]: Extracting #4: cost 131 inf + 1568 6.568 * * [simplify]: Extracting #5: cost 99 inf + 8302 6.578 * * [simplify]: Extracting #6: cost 11 inf + 60490 6.587 * * [simplify]: Extracting #7: cost 0 inf + 69564 6.594 * [simplify]: Simplified to (exp (+ (* a a) (* b b))) 6.594 * [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)) 6.594 * * * * [progress]: [ 72 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 73 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 74 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 75 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 76 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 77 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 78 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 79 / 94 ] simplifiying candidate # 6.594 * * * * [progress]: [ 80 / 94 ] simplifiying candidate # 6.595 * * * * [progress]: [ 81 / 94 ] simplifiying candidate #real (real->posit16 (+ (* a a) (* b b)))))) 1))> 6.595 * * * * [progress]: [ 82 / 94 ] simplifiying candidate # 6.595 * * * * [progress]: [ 83 / 94 ] simplifiying candidate # 6.595 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 6.595 * * [simplify]: iters left: 6 (12 enodes) 6.599 * * [simplify]: iters left: 5 (57 enodes) 6.614 * * [simplify]: iters left: 4 (96 enodes) 6.635 * * [simplify]: iters left: 3 (169 enodes) 6.664 * * [simplify]: iters left: 2 (239 enodes) 6.726 * * [simplify]: iters left: 1 (275 enodes) 6.778 * * [simplify]: Extracting #0: cost 1 inf + 0 6.778 * * [simplify]: Extracting #1: cost 8 inf + 0 6.778 * * [simplify]: Extracting #2: cost 40 inf + 0 6.778 * * [simplify]: Extracting #3: cost 53 inf + 168 6.779 * * [simplify]: Extracting #4: cost 28 inf + 3385 6.780 * * [simplify]: Extracting #5: cost 5 inf + 5794 6.784 * * [simplify]: Extracting #6: cost 0 inf + 6849 6.786 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 6.786 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b)))) 1)) 6.786 * * * * [progress]: [ 84 / 94 ] simplifiying candidate # 6.786 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 6.787 * * [simplify]: iters left: 6 (12 enodes) 6.791 * * [simplify]: iters left: 5 (57 enodes) 6.801 * * [simplify]: iters left: 4 (96 enodes) 6.824 * * [simplify]: iters left: 3 (169 enodes) 6.871 * * [simplify]: iters left: 2 (236 enodes) 6.909 * * [simplify]: iters left: 1 (270 enodes) 6.960 * * [simplify]: Extracting #0: cost 1 inf + 0 6.961 * * [simplify]: Extracting #1: cost 8 inf + 0 6.961 * * [simplify]: Extracting #2: cost 39 inf + 0 6.961 * * [simplify]: Extracting #3: cost 54 inf + 4 6.961 * * [simplify]: Extracting #4: cost 40 inf + 2137 6.963 * * [simplify]: Extracting #5: cost 4 inf + 6453 6.965 * * [simplify]: Extracting #6: cost 0 inf + 6723 6.966 * * [simplify]: Extracting #7: cost 0 inf + 6603 6.968 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 6.968 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 6.968 * * * * [progress]: [ 85 / 94 ] simplifiying candidate # 6.969 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 6.969 * * [simplify]: iters left: 6 (12 enodes) 6.973 * * [simplify]: iters left: 5 (57 enodes) 6.982 * * [simplify]: iters left: 4 (96 enodes) 7.002 * * [simplify]: iters left: 3 (169 enodes) 7.053 * * [simplify]: iters left: 2 (236 enodes) 7.122 * * [simplify]: iters left: 1 (270 enodes) 7.164 * * [simplify]: Extracting #0: cost 1 inf + 0 7.164 * * [simplify]: Extracting #1: cost 8 inf + 0 7.164 * * [simplify]: Extracting #2: cost 39 inf + 0 7.164 * * [simplify]: Extracting #3: cost 54 inf + 4 7.164 * * [simplify]: Extracting #4: cost 40 inf + 2137 7.166 * * [simplify]: Extracting #5: cost 4 inf + 6453 7.168 * * [simplify]: Extracting #6: cost 0 inf + 6723 7.170 * * [simplify]: Extracting #7: cost 0 inf + 6603 7.171 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 7.171 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 7.172 * * * * [progress]: [ 86 / 94 ] simplifiying candidate # 7.172 * [simplify]: Simplifying (* 4 (pow b 2)) 7.172 * * [simplify]: iters left: 3 (5 enodes) 7.174 * * [simplify]: iters left: 2 (21 enodes) 7.178 * * [simplify]: iters left: 1 (29 enodes) 7.183 * * [simplify]: Extracting #0: cost 1 inf + 0 7.183 * * [simplify]: Extracting #1: cost 6 inf + 0 7.183 * * [simplify]: Extracting #2: cost 6 inf + 43 7.183 * * [simplify]: Extracting #3: cost 0 inf + 333 7.184 * [simplify]: Simplified to (* (* b b) 4) 7.184 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.184 * * * * [progress]: [ 87 / 94 ] simplifiying candidate # 7.184 * [simplify]: Simplifying (* 4 (pow b 2)) 7.184 * * [simplify]: iters left: 3 (5 enodes) 7.188 * * [simplify]: iters left: 2 (21 enodes) 7.194 * * [simplify]: iters left: 1 (29 enodes) 7.203 * * [simplify]: Extracting #0: cost 1 inf + 0 7.203 * * [simplify]: Extracting #1: cost 6 inf + 0 7.203 * * [simplify]: Extracting #2: cost 6 inf + 43 7.204 * * [simplify]: Extracting #3: cost 0 inf + 333 7.204 * [simplify]: Simplified to (* (* b b) 4) 7.204 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.204 * * * * [progress]: [ 88 / 94 ] simplifiying candidate # 7.204 * [simplify]: Simplifying (* 4 (pow b 2)) 7.204 * * [simplify]: iters left: 3 (5 enodes) 7.208 * * [simplify]: iters left: 2 (21 enodes) 7.214 * * [simplify]: iters left: 1 (29 enodes) 7.219 * * [simplify]: Extracting #0: cost 1 inf + 0 7.219 * * [simplify]: Extracting #1: cost 6 inf + 0 7.219 * * [simplify]: Extracting #2: cost 6 inf + 43 7.219 * * [simplify]: Extracting #3: cost 0 inf + 333 7.219 * [simplify]: Simplified to (* (* b b) 4) 7.219 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.220 * * * * [progress]: [ 89 / 94 ] simplifiying candidate # 7.220 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2)))) 7.220 * * [simplify]: iters left: 6 (12 enodes) 7.224 * * [simplify]: iters left: 5 (56 enodes) 7.233 * * [simplify]: iters left: 4 (102 enodes) 7.262 * * [simplify]: iters left: 3 (198 enodes) 7.309 * * [simplify]: iters left: 2 (311 enodes) 7.384 * * [simplify]: iters left: 1 (364 enodes) 7.453 * * [simplify]: Extracting #0: cost 1 inf + 0 7.453 * * [simplify]: Extracting #1: cost 14 inf + 0 7.453 * * [simplify]: Extracting #2: cost 47 inf + 1 7.453 * * [simplify]: Extracting #3: cost 53 inf + 1068 7.455 * * [simplify]: Extracting #4: cost 7 inf + 7022 7.458 * * [simplify]: Extracting #5: cost 0 inf + 7604 7.462 * * [simplify]: Extracting #6: cost 0 inf + 7484 7.466 * [simplify]: Simplified to (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 7.466 * [simplify]: Simplified (2 1) to (λ (a b) (- (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 1)) 7.466 * * * * [progress]: [ 90 / 94 ] simplifiying candidate # 7.466 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 7.467 * * [simplify]: iters left: 6 (12 enodes) 7.473 * * [simplify]: iters left: 5 (57 enodes) 7.490 * * [simplify]: iters left: 4 (96 enodes) 7.521 * * [simplify]: iters left: 3 (169 enodes) 7.573 * * [simplify]: iters left: 2 (239 enodes) 7.616 * * [simplify]: iters left: 1 (275 enodes) 7.692 * * [simplify]: Extracting #0: cost 1 inf + 0 7.692 * * [simplify]: Extracting #1: cost 8 inf + 0 7.692 * * [simplify]: Extracting #2: cost 40 inf + 0 7.693 * * [simplify]: Extracting #3: cost 53 inf + 168 7.694 * * [simplify]: Extracting #4: cost 28 inf + 3385 7.696 * * [simplify]: Extracting #5: cost 5 inf + 5794 7.699 * * [simplify]: Extracting #6: cost 0 inf + 6849 7.703 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 7.703 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 7.703 * * * * [progress]: [ 91 / 94 ] simplifiying candidate # 7.703 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 7.703 * * [simplify]: iters left: 6 (12 enodes) 7.709 * * [simplify]: iters left: 5 (57 enodes) 7.719 * * [simplify]: iters left: 4 (96 enodes) 7.735 * * [simplify]: iters left: 3 (169 enodes) 7.783 * * [simplify]: iters left: 2 (239 enodes) 7.860 * * [simplify]: iters left: 1 (275 enodes) 7.903 * * [simplify]: Extracting #0: cost 1 inf + 0 7.903 * * [simplify]: Extracting #1: cost 8 inf + 0 7.903 * * [simplify]: Extracting #2: cost 40 inf + 0 7.903 * * [simplify]: Extracting #3: cost 53 inf + 168 7.904 * * [simplify]: Extracting #4: cost 28 inf + 3385 7.905 * * [simplify]: Extracting #5: cost 5 inf + 5794 7.907 * * [simplify]: Extracting #6: cost 0 inf + 6849 7.909 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 7.909 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 7.909 * * * * [progress]: [ 92 / 94 ] simplifiying candidate # 7.909 * [simplify]: Simplifying (+ (pow a 2) (pow b 2)) 7.909 * * [simplify]: iters left: 3 (6 enodes) 7.911 * * [simplify]: iters left: 2 (27 enodes) 7.916 * * [simplify]: iters left: 1 (31 enodes) 7.920 * * [simplify]: Extracting #0: cost 1 inf + 0 7.920 * * [simplify]: Extracting #1: cost 4 inf + 0 7.920 * * [simplify]: Extracting #2: cost 9 inf + 0 7.920 * * [simplify]: Extracting #3: cost 6 inf + 3 7.920 * * [simplify]: Extracting #4: cost 1 inf + 370 7.920 * * [simplify]: Extracting #5: cost 0 inf + 411 7.920 * [simplify]: Simplified to (+ (* a a) (* b b)) 7.920 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.920 * * * * [progress]: [ 93 / 94 ] simplifiying candidate # 7.920 * [simplify]: Simplifying (+ (pow a 2) (pow b 2)) 7.921 * * [simplify]: iters left: 3 (6 enodes) 7.924 * * [simplify]: iters left: 2 (27 enodes) 7.932 * * [simplify]: iters left: 1 (31 enodes) 7.942 * * [simplify]: Extracting #0: cost 1 inf + 0 7.942 * * [simplify]: Extracting #1: cost 4 inf + 0 7.942 * * [simplify]: Extracting #2: cost 9 inf + 0 7.943 * * [simplify]: Extracting #3: cost 6 inf + 3 7.943 * * [simplify]: Extracting #4: cost 1 inf + 370 7.943 * * [simplify]: Extracting #5: cost 0 inf + 411 7.943 * [simplify]: Simplified to (+ (* a a) (* b b)) 7.943 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.943 * * * * [progress]: [ 94 / 94 ] simplifiying candidate # 7.944 * [simplify]: Simplifying (+ (pow a 2) (pow b 2)) 7.944 * * [simplify]: iters left: 3 (6 enodes) 7.948 * * [simplify]: iters left: 2 (27 enodes) 7.956 * * [simplify]: iters left: 1 (31 enodes) 7.965 * * [simplify]: Extracting #0: cost 1 inf + 0 7.965 * * [simplify]: Extracting #1: cost 4 inf + 0 7.965 * * [simplify]: Extracting #2: cost 9 inf + 0 7.965 * * [simplify]: Extracting #3: cost 6 inf + 3 7.965 * * [simplify]: Extracting #4: cost 1 inf + 370 7.965 * * [simplify]: Extracting #5: cost 0 inf + 411 7.965 * [simplify]: Simplified to (+ (* a a) (* b b)) 7.965 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)) 7.966 * * * [progress]: adding candidates to table 8.821 * * [progress]: iteration 2 / 4 8.821 * * * [progress]: picking best candidate 8.844 * * * * [pick]: Picked # 8.844 * * * [progress]: localizing error 8.900 * * * [progress]: generating rewritten candidates 8.900 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 8.912 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 8.984 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.104 * * * [progress]: generating series expansions 9.105 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 9.105 * [backup-simplify]: Simplify (sqrt (+ (* a a) (* b b))) into (sqrt (+ (pow a 2) (pow b 2))) 9.105 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in (a b) around 0 9.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 9.105 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.105 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.105 * [taylor]: Taking taylor expansion of a in b 9.105 * [backup-simplify]: Simplify a into a 9.105 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.105 * [taylor]: Taking taylor expansion of b in b 9.105 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify 1 into 1 9.105 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.105 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.105 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 9.105 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.106 * [backup-simplify]: Simplify (+ 0 0) into 0 9.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 9.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.107 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.107 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.107 * [taylor]: Taking taylor expansion of a in a 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 1 into 1 9.107 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.107 * [taylor]: Taking taylor expansion of b in a 9.107 * [backup-simplify]: Simplify b into b 9.107 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.107 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.107 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.107 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.108 * [backup-simplify]: Simplify (+ 0 0) into 0 9.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.108 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.108 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.108 * [taylor]: Taking taylor expansion of a in a 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 1 into 1 9.108 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.108 * [taylor]: Taking taylor expansion of b in a 9.108 * [backup-simplify]: Simplify b into b 9.108 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.108 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.108 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.108 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.109 * [backup-simplify]: Simplify (+ 0 0) into 0 9.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.109 * [taylor]: Taking taylor expansion of b in b 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [taylor]: Taking taylor expansion of 0 in b 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.110 * [backup-simplify]: Simplify (* 1 1) into 1 9.110 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.111 * [backup-simplify]: Simplify (+ 1 0) into 1 9.112 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 9.112 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 9.112 * [taylor]: Taking taylor expansion of 1/2 in b 9.112 * [backup-simplify]: Simplify 1/2 into 1/2 9.112 * [taylor]: Taking taylor expansion of b in b 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.115 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.115 * [backup-simplify]: Simplify (+ 0 0) into 0 9.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 9.116 * [taylor]: Taking taylor expansion of 0 in b 9.116 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify (* 1 (* b 1)) into b 9.117 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.117 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.117 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.117 * [taylor]: Taking taylor expansion of a in b 9.117 * [backup-simplify]: Simplify a into a 9.118 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.118 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.118 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.118 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.118 * [taylor]: Taking taylor expansion of b in b 9.118 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify 1 into 1 9.118 * [backup-simplify]: Simplify (* 1 1) into 1 9.119 * [backup-simplify]: Simplify (/ 1 1) into 1 9.119 * [backup-simplify]: Simplify (+ 0 1) into 1 9.119 * [backup-simplify]: Simplify (sqrt 1) into 1 9.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.121 * [backup-simplify]: Simplify (+ 0 0) into 0 9.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.122 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.122 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.122 * [taylor]: Taking taylor expansion of a in a 9.122 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify 1 into 1 9.123 * [backup-simplify]: Simplify (* 1 1) into 1 9.123 * [backup-simplify]: Simplify (/ 1 1) into 1 9.123 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.123 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.123 * [taylor]: Taking taylor expansion of b in a 9.123 * [backup-simplify]: Simplify b into b 9.123 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.123 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.124 * [backup-simplify]: Simplify (+ 1 0) into 1 9.124 * [backup-simplify]: Simplify (sqrt 1) into 1 9.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ 0 0) into 0 9.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.127 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.127 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.127 * [taylor]: Taking taylor expansion of a in a 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.127 * [backup-simplify]: Simplify (* 1 1) into 1 9.128 * [backup-simplify]: Simplify (/ 1 1) into 1 9.128 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.128 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.128 * [taylor]: Taking taylor expansion of b in a 9.128 * [backup-simplify]: Simplify b into b 9.128 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.128 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.128 * [backup-simplify]: Simplify (+ 1 0) into 1 9.129 * [backup-simplify]: Simplify (sqrt 1) into 1 9.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.130 * [backup-simplify]: Simplify (+ 0 0) into 0 9.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.131 * [taylor]: Taking taylor expansion of 1 in b 9.131 * [backup-simplify]: Simplify 1 into 1 9.131 * [taylor]: Taking taylor expansion of 0 in b 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.133 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.135 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.135 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.135 * [taylor]: Taking taylor expansion of 1/2 in b 9.135 * [backup-simplify]: Simplify 1/2 into 1/2 9.135 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.135 * [taylor]: Taking taylor expansion of b in b 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [backup-simplify]: Simplify (* 1 1) into 1 9.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.140 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.141 * [backup-simplify]: Simplify (+ 0 0) into 0 9.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.141 * [taylor]: Taking taylor expansion of 0 in b 9.141 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a)))) into a 9.144 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.144 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.144 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.144 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.144 * [taylor]: Taking taylor expansion of a in b 9.144 * [backup-simplify]: Simplify a into a 9.144 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.144 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.144 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.144 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.144 * [taylor]: Taking taylor expansion of b in b 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (* 1 1) into 1 9.145 * [backup-simplify]: Simplify (/ 1 1) into 1 9.146 * [backup-simplify]: Simplify (+ 0 1) into 1 9.146 * [backup-simplify]: Simplify (sqrt 1) into 1 9.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.148 * [backup-simplify]: Simplify (+ 0 0) into 0 9.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.149 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.149 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.149 * [taylor]: Taking taylor expansion of a in a 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (* 1 1) into 1 9.150 * [backup-simplify]: Simplify (/ 1 1) into 1 9.150 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.150 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.150 * [taylor]: Taking taylor expansion of b in a 9.150 * [backup-simplify]: Simplify b into b 9.150 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.150 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.150 * [backup-simplify]: Simplify (+ 1 0) into 1 9.151 * [backup-simplify]: Simplify (sqrt 1) into 1 9.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (+ 0 0) into 0 9.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.153 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.153 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.153 * [taylor]: Taking taylor expansion of a in a 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.154 * [backup-simplify]: Simplify (* 1 1) into 1 9.154 * [backup-simplify]: Simplify (/ 1 1) into 1 9.154 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.154 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.154 * [taylor]: Taking taylor expansion of b in a 9.154 * [backup-simplify]: Simplify b into b 9.154 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.155 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.155 * [backup-simplify]: Simplify (+ 1 0) into 1 9.156 * [backup-simplify]: Simplify (sqrt 1) into 1 9.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (+ 0 0) into 0 9.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.159 * [taylor]: Taking taylor expansion of 1 in b 9.159 * [backup-simplify]: Simplify 1 into 1 9.159 * [taylor]: Taking taylor expansion of 0 in b 9.159 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify 1 into 1 9.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.161 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.162 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.162 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.162 * [taylor]: Taking taylor expansion of 1/2 in b 9.162 * [backup-simplify]: Simplify 1/2 into 1/2 9.163 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.163 * [taylor]: Taking taylor expansion of b in b 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [backup-simplify]: Simplify (* 1 1) into 1 9.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.167 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.168 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.168 * [taylor]: Taking taylor expansion of 0 in b 9.168 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a))))) into (* -1 a) 9.170 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.170 * [backup-simplify]: Simplify (sqrt (+ (* a a) (* b b))) into (sqrt (+ (pow a 2) (pow b 2))) 9.171 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in (a b) around 0 9.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 9.171 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.171 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.171 * [taylor]: Taking taylor expansion of a in b 9.171 * [backup-simplify]: Simplify a into a 9.171 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.171 * [taylor]: Taking taylor expansion of b in b 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 1 into 1 9.171 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.171 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.171 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 9.171 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 9.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.171 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.171 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.171 * [taylor]: Taking taylor expansion of a in a 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 1 into 1 9.171 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.171 * [taylor]: Taking taylor expansion of b in a 9.171 * [backup-simplify]: Simplify b into b 9.171 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.172 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.172 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.172 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.172 * [backup-simplify]: Simplify (+ 0 0) into 0 9.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 9.172 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.172 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.172 * [taylor]: Taking taylor expansion of a in a 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify 1 into 1 9.172 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.172 * [taylor]: Taking taylor expansion of b in a 9.172 * [backup-simplify]: Simplify b into b 9.172 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.172 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.172 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 9.172 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.173 * [backup-simplify]: Simplify (+ 0 0) into 0 9.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 9.173 * [taylor]: Taking taylor expansion of b in b 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify 1 into 1 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [taylor]: Taking taylor expansion of 0 in b 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify 1 into 1 9.173 * [backup-simplify]: Simplify (* 1 1) into 1 9.174 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.174 * [backup-simplify]: Simplify (+ 1 0) into 1 9.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 9.174 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 9.174 * [taylor]: Taking taylor expansion of 1/2 in b 9.174 * [backup-simplify]: Simplify 1/2 into 1/2 9.174 * [taylor]: Taking taylor expansion of b in b 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.176 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.176 * [backup-simplify]: Simplify (+ 0 0) into 0 9.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 9.176 * [taylor]: Taking taylor expansion of 0 in b 9.176 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify (* 1 (* b 1)) into b 9.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.177 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.177 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.177 * [taylor]: Taking taylor expansion of a in b 9.178 * [backup-simplify]: Simplify a into a 9.178 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.178 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.178 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.178 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.178 * [taylor]: Taking taylor expansion of b in b 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (* 1 1) into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.178 * [backup-simplify]: Simplify (+ 0 1) into 1 9.179 * [backup-simplify]: Simplify (sqrt 1) into 1 9.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.180 * [backup-simplify]: Simplify (+ 0 0) into 0 9.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.180 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.180 * [taylor]: Taking taylor expansion of a in a 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (* 1 1) into 1 9.181 * [backup-simplify]: Simplify (/ 1 1) into 1 9.181 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.181 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.181 * [taylor]: Taking taylor expansion of b in a 9.181 * [backup-simplify]: Simplify b into b 9.181 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.181 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.181 * [backup-simplify]: Simplify (+ 1 0) into 1 9.182 * [backup-simplify]: Simplify (sqrt 1) into 1 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (+ 0 0) into 0 9.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.183 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.183 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.183 * [taylor]: Taking taylor expansion of a in a 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify (* 1 1) into 1 9.184 * [backup-simplify]: Simplify (/ 1 1) into 1 9.184 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.184 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.184 * [taylor]: Taking taylor expansion of b in a 9.184 * [backup-simplify]: Simplify b into b 9.184 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.184 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.184 * [backup-simplify]: Simplify (+ 1 0) into 1 9.184 * [backup-simplify]: Simplify (sqrt 1) into 1 9.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (+ 0 0) into 0 9.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.186 * [taylor]: Taking taylor expansion of 1 in b 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [taylor]: Taking taylor expansion of 0 in b 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.187 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.188 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.188 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.188 * [taylor]: Taking taylor expansion of 1/2 in b 9.188 * [backup-simplify]: Simplify 1/2 into 1/2 9.188 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.188 * [taylor]: Taking taylor expansion of b in b 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 1 into 1 9.188 * [backup-simplify]: Simplify (* 1 1) into 1 9.189 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.191 * [backup-simplify]: Simplify (+ 0 0) into 0 9.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.192 * [taylor]: Taking taylor expansion of 0 in b 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a)))) into a 9.193 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 9.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 9.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 9.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.193 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.193 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.193 * [taylor]: Taking taylor expansion of a in b 9.193 * [backup-simplify]: Simplify a into a 9.193 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.193 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.193 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.193 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.193 * [taylor]: Taking taylor expansion of b in b 9.193 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify 1 into 1 9.194 * [backup-simplify]: Simplify (* 1 1) into 1 9.194 * [backup-simplify]: Simplify (/ 1 1) into 1 9.194 * [backup-simplify]: Simplify (+ 0 1) into 1 9.194 * [backup-simplify]: Simplify (sqrt 1) into 1 9.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.195 * [backup-simplify]: Simplify (+ 0 0) into 0 9.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.196 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.196 * [taylor]: Taking taylor expansion of a in a 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (* 1 1) into 1 9.196 * [backup-simplify]: Simplify (/ 1 1) into 1 9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.197 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.197 * [taylor]: Taking taylor expansion of b in a 9.197 * [backup-simplify]: Simplify b into b 9.197 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.197 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.197 * [backup-simplify]: Simplify (+ 1 0) into 1 9.197 * [backup-simplify]: Simplify (sqrt 1) into 1 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 9.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.200 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.200 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.200 * [taylor]: Taking taylor expansion of a in a 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (* 1 1) into 1 9.201 * [backup-simplify]: Simplify (/ 1 1) into 1 9.201 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.201 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.201 * [taylor]: Taking taylor expansion of b in a 9.201 * [backup-simplify]: Simplify b into b 9.201 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.201 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.202 * [backup-simplify]: Simplify (+ 1 0) into 1 9.202 * [backup-simplify]: Simplify (sqrt 1) into 1 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (+ 0 0) into 0 9.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.205 * [taylor]: Taking taylor expansion of 1 in b 9.205 * [backup-simplify]: Simplify 1 into 1 9.205 * [taylor]: Taking taylor expansion of 0 in b 9.205 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify 1 into 1 9.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.207 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.208 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 9.208 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.208 * [taylor]: Taking taylor expansion of 1/2 in b 9.208 * [backup-simplify]: Simplify 1/2 into 1/2 9.208 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.208 * [taylor]: Taking taylor expansion of b in b 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [backup-simplify]: Simplify (* 1 1) into 1 9.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.213 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.214 * [backup-simplify]: Simplify (+ 0 0) into 0 9.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 9.214 * [taylor]: Taking taylor expansion of 0 in b 9.214 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a))))) into (* -1 a) 9.216 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 9.217 * [backup-simplify]: Simplify (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) into (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) 9.217 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in (a b) around 0 9.217 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in b 9.217 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 3) in b 9.217 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.217 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.217 * [taylor]: Taking taylor expansion of a in b 9.217 * [backup-simplify]: Simplify a into a 9.217 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.217 * [taylor]: Taking taylor expansion of b in b 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.217 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.217 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.217 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 9.218 * [backup-simplify]: Simplify (* (pow a 2) (pow a 4)) into (pow a 6) 9.218 * [backup-simplify]: Simplify (sqrt (pow a 6)) into (pow a 3) 9.218 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.218 * [backup-simplify]: Simplify (+ 0 0) into 0 9.218 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 9.218 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 4))) into 0 9.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 6)))) into 0 9.219 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in a 9.219 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 3) in a 9.219 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.219 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.219 * [taylor]: Taking taylor expansion of a in a 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.219 * [taylor]: Taking taylor expansion of b in a 9.219 * [backup-simplify]: Simplify b into b 9.219 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.219 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.219 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 9.219 * [backup-simplify]: Simplify (* (pow b 2) (pow b 4)) into (pow b 6) 9.219 * [backup-simplify]: Simplify (sqrt (pow b 6)) into (pow b 3) 9.219 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.220 * [backup-simplify]: Simplify (+ 0 0) into 0 9.220 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 9.220 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 4))) into 0 9.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 6)))) into 0 9.220 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow a 2) (pow b 2)) 3)) in a 9.220 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 3) in a 9.220 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.220 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.220 * [taylor]: Taking taylor expansion of a in a 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.220 * [taylor]: Taking taylor expansion of b in a 9.220 * [backup-simplify]: Simplify b into b 9.220 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.221 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.221 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 9.221 * [backup-simplify]: Simplify (* (pow b 2) (pow b 4)) into (pow b 6) 9.221 * [backup-simplify]: Simplify (sqrt (pow b 6)) into (pow b 3) 9.221 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.221 * [backup-simplify]: Simplify (+ 0 0) into 0 9.221 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 9.222 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 4))) into 0 9.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 6)))) into 0 9.222 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.222 * [taylor]: Taking taylor expansion of b in b 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [taylor]: Taking taylor expansion of 0 in b 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.223 * [backup-simplify]: Simplify (+ 1 0) into 1 9.224 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 9.225 * [backup-simplify]: Simplify (+ (* (pow b 2) (* 2 (pow b 2))) (+ (* 0 0) (* 1 (pow b 4)))) into (* 3 (pow b 4)) 9.225 * [backup-simplify]: Simplify (/ (- (* 3 (pow b 4)) (pow 0 2) (+)) (* 2 (pow b 3))) into (* 3/2 b) 9.225 * [taylor]: Taking taylor expansion of (* 3/2 b) in b 9.225 * [taylor]: Taking taylor expansion of 3/2 in b 9.226 * [backup-simplify]: Simplify 3/2 into 3/2 9.226 * [taylor]: Taking taylor expansion of b in b 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 1 into 1 9.226 * [backup-simplify]: Simplify (* 3/2 0) into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.228 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.228 * [backup-simplify]: Simplify (+ 0 0) into 0 9.229 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 9.230 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 (* 2 (pow b 2))) (+ (* 1 0) (* 0 (pow b 4))))) into 0 9.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 3/2 b))))) (* 2 (pow b 3))) into 0 9.230 * [taylor]: Taking taylor expansion of 0 in b 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify (+ (* 3/2 1) (* 0 0)) into 3/2 9.231 * [backup-simplify]: Simplify 3/2 into 3/2 9.231 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify (* 1 1) into 1 9.237 * [backup-simplify]: Simplify (* 1 1) into 1 9.237 * [backup-simplify]: Simplify 1 into 1 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.240 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 9.240 * [backup-simplify]: Simplify (+ 0 0) into 0 9.242 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 9.243 * [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)) 9.244 * [backup-simplify]: Simplify (/ (- (* 3 (pow b 2)) (pow (* 3/2 b) 2) (+ (* 2 (* 0 0)))) (* 2 (pow b 3))) into (/ 3/8 b) 9.244 * [taylor]: Taking taylor expansion of (/ 3/8 b) in b 9.244 * [taylor]: Taking taylor expansion of 3/8 in b 9.244 * [backup-simplify]: Simplify 3/8 into 3/8 9.244 * [taylor]: Taking taylor expansion of b in b 9.244 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify 1 into 1 9.244 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 9.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 1) (* 0 0))) into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.248 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))))) into 0 9.252 * [backup-simplify]: Simplify (+ 0 0) into 0 9.254 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow b 2))))))) into 0 9.255 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (+ (* 0 (* 2 (pow b 2))) (+ (* 0 0) (* 0 (pow b 4))))))) into 0 9.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/8 b))) (* 2 (* (* 3/2 b) 0)))) (* 2 (pow b 3))) into 0 9.256 * [taylor]: Taking taylor expansion of 0 in b 9.256 * [backup-simplify]: Simplify 0 into 0 9.256 * [backup-simplify]: Simplify 0 into 0 9.256 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 3)) (* 3/2 (* b (pow a 2)))) into (+ (pow b 3) (* 3/2 (* (pow a 2) b))) 9.257 * [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)) 9.257 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in (a b) around 0 9.257 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in b 9.257 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in b 9.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.257 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.257 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.257 * [taylor]: Taking taylor expansion of a in b 9.257 * [backup-simplify]: Simplify a into a 9.257 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.257 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.257 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.257 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.257 * [taylor]: Taking taylor expansion of b in b 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [backup-simplify]: Simplify (* 1 1) into 1 9.258 * [backup-simplify]: Simplify (/ 1 1) into 1 9.258 * [backup-simplify]: Simplify (+ 0 1) into 1 9.259 * [backup-simplify]: Simplify (* 1 1) into 1 9.259 * [backup-simplify]: Simplify (* 1 1) into 1 9.259 * [backup-simplify]: Simplify (sqrt 1) into 1 9.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.261 * [backup-simplify]: Simplify (+ 0 0) into 0 9.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.263 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.263 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.263 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.263 * [taylor]: Taking taylor expansion of a in a 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.264 * [backup-simplify]: Simplify (* 1 1) into 1 9.264 * [backup-simplify]: Simplify (/ 1 1) into 1 9.264 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.264 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.264 * [taylor]: Taking taylor expansion of b in a 9.264 * [backup-simplify]: Simplify b into b 9.264 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.264 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.265 * [backup-simplify]: Simplify (+ 1 0) into 1 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.266 * [backup-simplify]: Simplify (sqrt 1) into 1 9.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.267 * [backup-simplify]: Simplify (+ 0 0) into 0 9.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.268 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.268 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.268 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.268 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.268 * [taylor]: Taking taylor expansion of a in a 9.268 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify 1 into 1 9.268 * [backup-simplify]: Simplify (* 1 1) into 1 9.268 * [backup-simplify]: Simplify (/ 1 1) into 1 9.269 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.269 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.269 * [taylor]: Taking taylor expansion of b in a 9.269 * [backup-simplify]: Simplify b into b 9.269 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.269 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.269 * [backup-simplify]: Simplify (+ 1 0) into 1 9.269 * [backup-simplify]: Simplify (* 1 1) into 1 9.269 * [backup-simplify]: Simplify (* 1 1) into 1 9.270 * [backup-simplify]: Simplify (sqrt 1) into 1 9.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.271 * [backup-simplify]: Simplify (+ 0 0) into 0 9.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.272 * [taylor]: Taking taylor expansion of 1 in b 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [taylor]: Taking taylor expansion of 0 in b 9.272 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.274 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.274 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 3 (/ 1 (pow b 2))) 9.275 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow b 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow b 2)) 9.275 * [taylor]: Taking taylor expansion of (/ 3/2 (pow b 2)) in b 9.275 * [taylor]: Taking taylor expansion of 3/2 in b 9.275 * [backup-simplify]: Simplify 3/2 into 3/2 9.275 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.275 * [taylor]: Taking taylor expansion of b in b 9.275 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify 1 into 1 9.275 * [backup-simplify]: Simplify (* 1 1) into 1 9.275 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 9.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.277 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.277 * [backup-simplify]: Simplify (+ 0 0) into 0 9.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow b 2)))))) (* 2 1)) into 0 9.279 * [taylor]: Taking taylor expansion of 0 in b 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 3/2 into 3/2 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.280 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.281 * [backup-simplify]: Simplify (+ 0 0) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.282 * [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))) 9.283 * [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)) 9.283 * [taylor]: Taking taylor expansion of (/ 3/8 (pow b 4)) in b 9.283 * [taylor]: Taking taylor expansion of 3/8 in b 9.283 * [backup-simplify]: Simplify 3/8 into 3/8 9.283 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.283 * [taylor]: Taking taylor expansion of b in b 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 1 into 1 9.283 * [backup-simplify]: Simplify (* 1 1) into 1 9.284 * [backup-simplify]: Simplify (* 1 1) into 1 9.284 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 9.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 9.285 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.288 * [backup-simplify]: Simplify (+ 0 0) into 0 9.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1)))))) into 0 9.290 * [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 9.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/8 (pow b 4)))) (* 2 (* (/ 3/2 (pow b 2)) 0)))) (* 2 1)) into 0 9.291 * [taylor]: Taking taylor expansion of 0 in b 9.291 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.292 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.293 * [backup-simplify]: Simplify 0 into 0 9.294 * [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)) 9.294 * [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)) 9.294 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in (a b) around 0 9.294 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in b 9.294 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in b 9.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.294 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.294 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.294 * [taylor]: Taking taylor expansion of a in b 9.294 * [backup-simplify]: Simplify a into a 9.294 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.294 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.294 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.294 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.294 * [taylor]: Taking taylor expansion of b in b 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify 1 into 1 9.295 * [backup-simplify]: Simplify (* 1 1) into 1 9.295 * [backup-simplify]: Simplify (/ 1 1) into 1 9.295 * [backup-simplify]: Simplify (+ 0 1) into 1 9.295 * [backup-simplify]: Simplify (* 1 1) into 1 9.295 * [backup-simplify]: Simplify (* 1 1) into 1 9.296 * [backup-simplify]: Simplify (sqrt 1) into 1 9.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.297 * [backup-simplify]: Simplify (+ 0 0) into 0 9.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.298 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.299 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.299 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.299 * [taylor]: Taking taylor expansion of a in a 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (* 1 1) into 1 9.299 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.299 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.299 * [taylor]: Taking taylor expansion of b in a 9.299 * [backup-simplify]: Simplify b into b 9.300 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.300 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.300 * [backup-simplify]: Simplify (+ 1 0) into 1 9.300 * [backup-simplify]: Simplify (* 1 1) into 1 9.301 * [backup-simplify]: Simplify (* 1 1) into 1 9.301 * [backup-simplify]: Simplify (sqrt 1) into 1 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.303 * [backup-simplify]: Simplify (+ 0 0) into 0 9.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.305 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3)) in a 9.305 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3) in a 9.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.305 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.305 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.305 * [taylor]: Taking taylor expansion of a in a 9.305 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify 1 into 1 9.305 * [backup-simplify]: Simplify (* 1 1) into 1 9.306 * [backup-simplify]: Simplify (/ 1 1) into 1 9.306 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.306 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.306 * [taylor]: Taking taylor expansion of b in a 9.306 * [backup-simplify]: Simplify b into b 9.306 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.306 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.306 * [backup-simplify]: Simplify (+ 1 0) into 1 9.307 * [backup-simplify]: Simplify (* 1 1) into 1 9.307 * [backup-simplify]: Simplify (* 1 1) into 1 9.308 * [backup-simplify]: Simplify (sqrt 1) into 1 9.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.309 * [backup-simplify]: Simplify (+ 0 0) into 0 9.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.311 * [taylor]: Taking taylor expansion of 1 in b 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [taylor]: Taking taylor expansion of 0 in b 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.312 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.313 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow b 2)))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 3 (/ 1 (pow b 2))) 9.313 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow b 2))) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 (pow b 2)) 9.313 * [taylor]: Taking taylor expansion of (/ 3/2 (pow b 2)) in b 9.313 * [taylor]: Taking taylor expansion of 3/2 in b 9.313 * [backup-simplify]: Simplify 3/2 into 3/2 9.314 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.314 * [taylor]: Taking taylor expansion of b in b 9.314 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify 1 into 1 9.314 * [backup-simplify]: Simplify (* 1 1) into 1 9.314 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 9.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.316 * [backup-simplify]: Simplify (+ 0 0) into 0 9.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 (pow b 2)))))) (* 2 1)) into 0 9.317 * [taylor]: Taking taylor expansion of 0 in b 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 3/2 into 3/2 9.318 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.319 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.319 * [backup-simplify]: Simplify (+ 0 0) into 0 9.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.321 * [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))) 9.322 * [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)) 9.322 * [taylor]: Taking taylor expansion of (/ 3/8 (pow b 4)) in b 9.322 * [taylor]: Taking taylor expansion of 3/8 in b 9.322 * [backup-simplify]: Simplify 3/8 into 3/8 9.322 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.322 * [taylor]: Taking taylor expansion of b in b 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify 1 into 1 9.322 * [backup-simplify]: Simplify (* 1 1) into 1 9.323 * [backup-simplify]: Simplify (* 1 1) into 1 9.323 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 9.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 9.325 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.327 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.328 * [backup-simplify]: Simplify (+ 0 0) into 0 9.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1)))))) into 0 9.329 * [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 9.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/8 (pow b 4)))) (* 2 (* (/ 3/2 (pow b 2)) 0)))) (* 2 1)) into 0 9.330 * [taylor]: Taking taylor expansion of 0 in b 9.330 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [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))) 9.333 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.333 * [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) 9.333 * [approximate]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in (a b) around 0 9.333 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 9.333 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 9.333 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.333 * [taylor]: Taking taylor expansion of a in b 9.334 * [backup-simplify]: Simplify a into a 9.334 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.334 * [taylor]: Taking taylor expansion of b in b 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.334 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 9.334 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 9.334 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.334 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.334 * [taylor]: Taking taylor expansion of a in a 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.334 * [taylor]: Taking taylor expansion of b in a 9.334 * [backup-simplify]: Simplify b into b 9.334 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.334 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.334 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 9.334 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 9.334 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.334 * [taylor]: Taking taylor expansion of a in a 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.334 * [taylor]: Taking taylor expansion of b in a 9.334 * [backup-simplify]: Simplify b into b 9.334 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.334 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 9.334 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 9.334 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.334 * [taylor]: Taking taylor expansion of b in b 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.335 * [backup-simplify]: Simplify (+ 0 0) into 0 9.335 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 9.335 * [taylor]: Taking taylor expansion of 0 in b 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify (* 1 1) into 1 9.335 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.336 * [backup-simplify]: Simplify (+ 1 0) into 1 9.336 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 9.336 * [taylor]: Taking taylor expansion of (* 2 (pow b 2)) in b 9.336 * [taylor]: Taking taylor expansion of 2 in b 9.336 * [backup-simplify]: Simplify 2 into 2 9.336 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.336 * [taylor]: Taking taylor expansion of b in b 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.337 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.337 * [backup-simplify]: Simplify (+ 0 0) into 0 9.338 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 9.338 * [taylor]: Taking taylor expansion of 0 in b 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.346 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 9.346 * [backup-simplify]: Simplify (+ 0 0) into 0 9.348 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 9.348 * [taylor]: Taking taylor expansion of 1 in b 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify (* 1 1) into 1 9.349 * [backup-simplify]: Simplify (* 2 1) into 2 9.349 * [backup-simplify]: Simplify 2 into 2 9.349 * [backup-simplify]: Simplify 0 into 0 9.349 * [backup-simplify]: Simplify (* 1 1) into 1 9.350 * [backup-simplify]: Simplify (* 1 1) into 1 9.350 * [backup-simplify]: Simplify 1 into 1 9.350 * [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))) 9.351 * [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) 9.351 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 9.351 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 9.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.351 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.351 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.351 * [taylor]: Taking taylor expansion of a in b 9.351 * [backup-simplify]: Simplify a into a 9.351 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.351 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.351 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.351 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.351 * [taylor]: Taking taylor expansion of b in b 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 9.352 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 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 9.353 * [taylor]: Taking taylor expansion of a in a 9.353 * [backup-simplify]: Simplify 0 into 0 9.353 * [backup-simplify]: Simplify 1 into 1 9.353 * [backup-simplify]: Simplify (* 1 1) into 1 9.353 * [backup-simplify]: Simplify (/ 1 1) into 1 9.353 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.353 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.353 * [taylor]: Taking taylor expansion of b in a 9.353 * [backup-simplify]: Simplify b into b 9.354 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.354 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.354 * [backup-simplify]: Simplify (+ 1 0) into 1 9.354 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 9.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.354 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.354 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.354 * [taylor]: Taking taylor expansion of a in a 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (* 1 1) into 1 9.354 * [backup-simplify]: Simplify (/ 1 1) into 1 9.355 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.355 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.355 * [taylor]: Taking taylor expansion of b in a 9.355 * [backup-simplify]: Simplify b into b 9.355 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.355 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.355 * [backup-simplify]: Simplify (+ 1 0) into 1 9.355 * [backup-simplify]: Simplify (* 1 1) into 1 9.355 * [taylor]: Taking taylor expansion of 1 in b 9.355 * [backup-simplify]: Simplify 1 into 1 9.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (+ 0 0) into 0 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.357 * [taylor]: Taking taylor expansion of 0 in b 9.357 * [backup-simplify]: Simplify 0 into 0 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.358 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.358 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 9.358 * [taylor]: Taking taylor expansion of 2 in b 9.358 * [backup-simplify]: Simplify 2 into 2 9.358 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.358 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.358 * [taylor]: Taking taylor expansion of b in b 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.359 * [backup-simplify]: Simplify (* 1 1) into 1 9.359 * [backup-simplify]: Simplify (/ 1 1) into 1 9.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.360 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.360 * [backup-simplify]: Simplify (+ 0 0) into 0 9.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.361 * [taylor]: Taking taylor expansion of 0 in b 9.361 * [backup-simplify]: Simplify 0 into 0 9.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.363 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.363 * [backup-simplify]: Simplify (+ 0 0) into 0 9.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.364 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 9.364 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.364 * [taylor]: Taking taylor expansion of b in b 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 1 into 1 9.365 * [backup-simplify]: Simplify (* 1 1) into 1 9.365 * [backup-simplify]: Simplify (* 1 1) into 1 9.365 * [backup-simplify]: Simplify (/ 1 1) into 1 9.365 * [backup-simplify]: Simplify 1 into 1 9.365 * [backup-simplify]: Simplify (* 2 1) into 2 9.365 * [backup-simplify]: Simplify 2 into 2 9.365 * [backup-simplify]: Simplify 1 into 1 9.366 * [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))))) 9.366 * [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) 9.366 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in (a b) around 0 9.366 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 9.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 9.366 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 9.366 * [taylor]: Taking taylor expansion of (pow a 2) in b 9.366 * [taylor]: Taking taylor expansion of a in b 9.366 * [backup-simplify]: Simplify a into a 9.366 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.366 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 9.366 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.366 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.366 * [taylor]: Taking taylor expansion of b in b 9.366 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.367 * [backup-simplify]: Simplify (* 1 1) into 1 9.367 * [backup-simplify]: Simplify (/ 1 1) into 1 9.367 * [backup-simplify]: Simplify (+ 0 1) into 1 9.367 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 9.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 9.367 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 9.367 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.367 * [taylor]: Taking taylor expansion of a in a 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.368 * [backup-simplify]: Simplify (* 1 1) into 1 9.368 * [backup-simplify]: Simplify (/ 1 1) into 1 9.368 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 9.368 * [taylor]: Taking taylor expansion of (pow b 2) in a 9.368 * [taylor]: Taking taylor expansion of b in a 9.368 * [backup-simplify]: Simplify b into b 9.368 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.368 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 9.368 * [backup-simplify]: Simplify (+ 1 0) into 1 9.368 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 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)) 9.369 * [backup-simplify]: Simplify (+ 1 0) into 1 9.370 * [backup-simplify]: Simplify (* 1 1) into 1 9.370 * [taylor]: Taking taylor expansion of 1 in b 9.370 * [backup-simplify]: Simplify 1 into 1 9.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.371 * [backup-simplify]: Simplify (+ 0 0) into 0 9.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.371 * [taylor]: Taking taylor expansion of 0 in b 9.371 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 9.373 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 9.373 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 9.373 * [taylor]: Taking taylor expansion of 2 in b 9.373 * [backup-simplify]: Simplify 2 into 2 9.373 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 9.373 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.373 * [taylor]: Taking taylor expansion of b in b 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify 1 into 1 9.373 * [backup-simplify]: Simplify (* 1 1) into 1 9.373 * [backup-simplify]: Simplify (/ 1 1) into 1 9.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.375 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 9.375 * [backup-simplify]: Simplify (+ 0 0) into 0 9.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 9.376 * [taylor]: Taking taylor expansion of 0 in b 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.377 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.377 * [backup-simplify]: Simplify (+ 0 0) into 0 9.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 9.378 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 9.378 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.378 * [taylor]: Taking taylor expansion of b in b 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.379 * [backup-simplify]: Simplify (* 1 1) into 1 9.379 * [backup-simplify]: Simplify (* 1 1) into 1 9.379 * [backup-simplify]: Simplify (/ 1 1) into 1 9.379 * [backup-simplify]: Simplify 1 into 1 9.380 * [backup-simplify]: Simplify (* 2 1) into 2 9.380 * [backup-simplify]: Simplify 2 into 2 9.380 * [backup-simplify]: Simplify 1 into 1 9.380 * [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))))) 9.380 * * * [progress]: simplifying candidates 9.380 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 9.380 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 9.380 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 9.380 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 9.380 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 9.380 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 9.380 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 9.381 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 9.381 * * [simplify]: iters left: 6 (8 enodes) 9.383 * * [simplify]: iters left: 5 (26 enodes) 9.387 * * [simplify]: Extracting #0: cost 1 inf + 0 9.387 * * [simplify]: Extracting #1: cost 4 inf + 0 9.387 * * [simplify]: Extracting #2: cost 7 inf + 0 9.387 * * [simplify]: Extracting #3: cost 10 inf + 0 9.387 * * [simplify]: Extracting #4: cost 14 inf + 0 9.387 * * [simplify]: Extracting #5: cost 10 inf + 84 9.387 * * [simplify]: Extracting #6: cost 8 inf + 166 9.388 * * [simplify]: Extracting #7: cost 4 inf + 854 9.388 * * [simplify]: Extracting #8: cost 1 inf + 1540 9.389 * * [simplify]: Extracting #9: cost 0 inf + 1782 9.389 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 9.389 * [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)) 9.390 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 9.390 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 9.390 * * [simplify]: iters left: 6 (7 enodes) 9.393 * * [simplify]: iters left: 5 (22 enodes) 9.398 * * [simplify]: Extracting #0: cost 1 inf + 0 9.398 * * [simplify]: Extracting #1: cost 3 inf + 0 9.398 * * [simplify]: Extracting #2: cost 5 inf + 0 9.398 * * [simplify]: Extracting #3: cost 8 inf + 0 9.398 * * [simplify]: Extracting #4: cost 12 inf + 0 9.398 * * [simplify]: Extracting #5: cost 10 inf + 2 9.398 * * [simplify]: Extracting #6: cost 1 inf + 936 9.398 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.399 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 9.399 * [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)) 9.399 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 9.399 * [simplify]: Simplifying (sqrt 1) 9.399 * * [simplify]: iters left: 1 (2 enodes) 9.401 * * [simplify]: Extracting #0: cost 1 inf + 0 9.401 * * [simplify]: Extracting #1: cost 0 inf + 1 9.401 * [simplify]: Simplified to 1 9.401 * [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)) 9.401 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 9.401 * [simplify]: Simplifying (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) 9.401 * * [simplify]: iters left: 6 (9 enodes) 9.404 * * [simplify]: iters left: 5 (45 enodes) 9.415 * * [simplify]: iters left: 4 (100 enodes) 9.450 * * [simplify]: iters left: 3 (201 enodes) 9.525 * * [simplify]: iters left: 2 (406 enodes) 9.663 * * [simplify]: Extracting #0: cost 1 inf + 0 9.663 * * [simplify]: Extracting #1: cost 3 inf + 0 9.663 * * [simplify]: Extracting #2: cost 6 inf + 0 9.663 * * [simplify]: Extracting #3: cost 62 inf + 0 9.664 * * [simplify]: Extracting #4: cost 166 inf + 460 9.665 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.669 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.678 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.689 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.698 * [simplify]: Simplified to (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) 9.698 * [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)) 9.699 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 9.699 * [simplify]: Simplifying (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 9.699 * * [simplify]: iters left: 6 (8 enodes) 9.701 * * [simplify]: iters left: 5 (37 enodes) 9.707 * * [simplify]: iters left: 4 (67 enodes) 9.719 * * [simplify]: iters left: 3 (123 enodes) 9.756 * * [simplify]: iters left: 2 (278 enodes) 9.874 * * [simplify]: Extracting #0: cost 1 inf + 0 9.874 * * [simplify]: Extracting #1: cost 3 inf + 0 9.875 * * [simplify]: Extracting #2: cost 50 inf + 0 9.875 * * [simplify]: Extracting #3: cost 150 inf + 0 9.877 * * [simplify]: Extracting #4: cost 194 inf + 1180 9.882 * * [simplify]: Extracting #5: cost 123 inf + 12421 9.894 * * [simplify]: Extracting #6: cost 12 inf + 33804 9.909 * * [simplify]: Extracting #7: cost 0 inf + 36129 9.920 * [simplify]: Simplified to (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 9.920 * [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)) 9.921 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 9.921 * [simplify]: Simplifying (+ (* a a) (* b b)) 9.921 * * [simplify]: iters left: 4 (5 enodes) 9.922 * * [simplify]: iters left: 3 (16 enodes) 9.924 * * [simplify]: Extracting #0: cost 1 inf + 0 9.924 * * [simplify]: Extracting #1: cost 4 inf + 0 9.924 * * [simplify]: Extracting #2: cost 8 inf + 0 9.924 * * [simplify]: Extracting #3: cost 4 inf + 84 9.924 * * [simplify]: Extracting #4: cost 0 inf + 410 9.924 * [simplify]: Simplified to (+ (* a a) (* b b)) 9.924 * [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)) 9.925 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 9.925 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 9.925 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 9.925 * * [simplify]: iters left: 5 (6 enodes) 9.926 * * [simplify]: iters left: 4 (19 enodes) 9.929 * * [simplify]: Extracting #0: cost 1 inf + 0 9.929 * * [simplify]: Extracting #1: cost 3 inf + 0 9.929 * * [simplify]: Extracting #2: cost 6 inf + 0 9.929 * * [simplify]: Extracting #3: cost 10 inf + 0 9.929 * * [simplify]: Extracting #4: cost 6 inf + 84 9.929 * * [simplify]: Extracting #5: cost 0 inf + 734 9.929 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 9.929 * [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)) 9.929 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 9.929 * * * * [progress]: [ 16 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a a) (* b b))))) (+ (* a a) (* b b))))) 1))> 9.929 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 9.929 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 9.929 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 9.930 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 9.930 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 9.930 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 9.930 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 9.930 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 9.930 * * [simplify]: iters left: 6 (8 enodes) 9.932 * * [simplify]: iters left: 5 (26 enodes) 9.935 * * [simplify]: Extracting #0: cost 1 inf + 0 9.935 * * [simplify]: Extracting #1: cost 4 inf + 0 9.935 * * [simplify]: Extracting #2: cost 7 inf + 0 9.935 * * [simplify]: Extracting #3: cost 10 inf + 0 9.935 * * [simplify]: Extracting #4: cost 14 inf + 0 9.935 * * [simplify]: Extracting #5: cost 10 inf + 84 9.935 * * [simplify]: Extracting #6: cost 8 inf + 166 9.935 * * [simplify]: Extracting #7: cost 4 inf + 854 9.936 * * [simplify]: Extracting #8: cost 1 inf + 1540 9.936 * * [simplify]: Extracting #9: cost 0 inf + 1782 9.936 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 9.936 * [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)) 9.936 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 9.937 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 9.937 * * [simplify]: iters left: 6 (7 enodes) 9.938 * * [simplify]: iters left: 5 (22 enodes) 9.941 * * [simplify]: Extracting #0: cost 1 inf + 0 9.941 * * [simplify]: Extracting #1: cost 3 inf + 0 9.942 * * [simplify]: Extracting #2: cost 5 inf + 0 9.942 * * [simplify]: Extracting #3: cost 8 inf + 0 9.942 * * [simplify]: Extracting #4: cost 12 inf + 0 9.942 * * [simplify]: Extracting #5: cost 10 inf + 2 9.942 * * [simplify]: Extracting #6: cost 1 inf + 936 9.942 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.942 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 9.942 * [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)) 9.942 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 9.943 * [simplify]: Simplifying (sqrt 1) 9.943 * * [simplify]: iters left: 1 (2 enodes) 9.945 * * [simplify]: Extracting #0: cost 1 inf + 0 9.945 * * [simplify]: Extracting #1: cost 0 inf + 1 9.945 * [simplify]: Simplified to 1 9.945 * [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)) 9.945 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 9.945 * [simplify]: Simplifying (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) 9.945 * * [simplify]: iters left: 6 (9 enodes) 9.948 * * [simplify]: iters left: 5 (45 enodes) 9.959 * * [simplify]: iters left: 4 (100 enodes) 9.992 * * [simplify]: iters left: 3 (201 enodes) 10.053 * * [simplify]: iters left: 2 (406 enodes) 10.178 * * [simplify]: Extracting #0: cost 1 inf + 0 10.178 * * [simplify]: Extracting #1: cost 3 inf + 0 10.178 * * [simplify]: Extracting #2: cost 6 inf + 0 10.178 * * [simplify]: Extracting #3: cost 62 inf + 0 10.179 * * [simplify]: Extracting #4: cost 166 inf + 460 10.182 * * [simplify]: Extracting #5: cost 131 inf + 12951 10.195 * * [simplify]: Extracting #6: cost 49 inf + 45746 10.206 * * [simplify]: Extracting #7: cost 1 inf + 66256 10.215 * * [simplify]: Extracting #8: cost 0 inf + 65919 10.220 * [simplify]: Simplified to (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) 10.220 * [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)) 10.220 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 10.220 * [simplify]: Simplifying (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 10.220 * * [simplify]: iters left: 6 (8 enodes) 10.222 * * [simplify]: iters left: 5 (37 enodes) 10.229 * * [simplify]: iters left: 4 (67 enodes) 10.241 * * [simplify]: iters left: 3 (123 enodes) 10.281 * * [simplify]: iters left: 2 (278 enodes) 10.396 * * [simplify]: Extracting #0: cost 1 inf + 0 10.396 * * [simplify]: Extracting #1: cost 3 inf + 0 10.396 * * [simplify]: Extracting #2: cost 50 inf + 0 10.396 * * [simplify]: Extracting #3: cost 150 inf + 0 10.397 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.400 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.406 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.414 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.422 * [simplify]: Simplified to (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 10.422 * [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)) 10.422 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 10.422 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.422 * * [simplify]: iters left: 4 (5 enodes) 10.423 * * [simplify]: iters left: 3 (16 enodes) 10.425 * * [simplify]: Extracting #0: cost 1 inf + 0 10.426 * * [simplify]: Extracting #1: cost 4 inf + 0 10.426 * * [simplify]: Extracting #2: cost 8 inf + 0 10.426 * * [simplify]: Extracting #3: cost 4 inf + 84 10.426 * * [simplify]: Extracting #4: cost 0 inf + 410 10.426 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.426 * [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)) 10.426 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 10.426 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 10.426 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 10.426 * * [simplify]: iters left: 5 (6 enodes) 10.428 * * [simplify]: iters left: 4 (19 enodes) 10.430 * * [simplify]: Extracting #0: cost 1 inf + 0 10.430 * * [simplify]: Extracting #1: cost 3 inf + 0 10.430 * * [simplify]: Extracting #2: cost 6 inf + 0 10.430 * * [simplify]: Extracting #3: cost 10 inf + 0 10.430 * * [simplify]: Extracting #4: cost 6 inf + 84 10.430 * * [simplify]: Extracting #5: cost 0 inf + 734 10.431 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 10.431 * [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)) 10.431 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 10.431 * * * * [progress]: [ 32 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a a) (* b b))))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1))> 10.431 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 10.431 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.431 * * [simplify]: iters left: 4 (5 enodes) 10.432 * * [simplify]: iters left: 3 (16 enodes) 10.434 * * [simplify]: Extracting #0: cost 1 inf + 0 10.434 * * [simplify]: Extracting #1: cost 4 inf + 0 10.434 * * [simplify]: Extracting #2: cost 8 inf + 0 10.434 * * [simplify]: Extracting #3: cost 4 inf + 84 10.434 * * [simplify]: Extracting #4: cost 0 inf + 410 10.435 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.435 * [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)) 10.435 * [simplify]: Simplifying (+ 1/2 1) 10.435 * * [simplify]: iters left: 2 (3 enodes) 10.437 * * [simplify]: iters left: 1 (13 enodes) 10.440 * * [simplify]: Extracting #0: cost 1 inf + 0 10.440 * * [simplify]: Extracting #1: cost 0 inf + 1 10.440 * [simplify]: Simplified to 3/2 10.440 * [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)) 10.440 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 10.440 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.444 * * [simplify]: iters left: 4 (5 enodes) 10.446 * * [simplify]: iters left: 3 (16 enodes) 10.448 * * [simplify]: Extracting #0: cost 1 inf + 0 10.448 * * [simplify]: Extracting #1: cost 4 inf + 0 10.448 * * [simplify]: Extracting #2: cost 8 inf + 0 10.448 * * [simplify]: Extracting #3: cost 4 inf + 84 10.448 * * [simplify]: Extracting #4: cost 0 inf + 410 10.448 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.448 * [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)) 10.448 * [simplify]: Simplifying (+ (/ 1 2) 1) 10.448 * * [simplify]: iters left: 4 (4 enodes) 10.453 * * [simplify]: iters left: 3 (17 enodes) 10.458 * * [simplify]: iters left: 2 (19 enodes) 10.464 * * [simplify]: Extracting #0: cost 1 inf + 0 10.464 * * [simplify]: Extracting #1: cost 0 inf + 1 10.464 * [simplify]: Simplified to 3/2 10.464 * [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)) 10.464 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 10.465 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) 10.465 * * [simplify]: iters left: 6 (7 enodes) 10.467 * * [simplify]: iters left: 5 (29 enodes) 10.471 * * [simplify]: iters left: 4 (47 enodes) 10.478 * * [simplify]: iters left: 3 (55 enodes) 10.484 * * [simplify]: Extracting #0: cost 1 inf + 0 10.484 * * [simplify]: Extracting #1: cost 6 inf + 0 10.484 * * [simplify]: Extracting #2: cost 16 inf + 0 10.484 * * [simplify]: Extracting #3: cost 17 inf + 43 10.484 * * [simplify]: Extracting #4: cost 14 inf + 166 10.484 * * [simplify]: Extracting #5: cost 10 inf + 854 10.485 * * [simplify]: Extracting #6: cost 1 inf + 2552 10.485 * * [simplify]: Extracting #7: cost 0 inf + 2754 10.486 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) 10.486 * [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)) 10.486 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 10.486 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.486 * * [simplify]: iters left: 4 (5 enodes) 10.488 * * [simplify]: iters left: 3 (16 enodes) 10.490 * * [simplify]: Extracting #0: cost 1 inf + 0 10.490 * * [simplify]: Extracting #1: cost 4 inf + 0 10.490 * * [simplify]: Extracting #2: cost 8 inf + 0 10.490 * * [simplify]: Extracting #3: cost 4 inf + 84 10.490 * * [simplify]: Extracting #4: cost 0 inf + 410 10.490 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.490 * [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)) 10.490 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 10.491 * [simplify]: Simplifying (+ (* a a) (* b b)) 10.491 * * [simplify]: iters left: 4 (5 enodes) 10.492 * * [simplify]: iters left: 3 (16 enodes) 10.494 * * [simplify]: Extracting #0: cost 1 inf + 0 10.495 * * [simplify]: Extracting #1: cost 4 inf + 0 10.495 * * [simplify]: Extracting #2: cost 8 inf + 0 10.495 * * [simplify]: Extracting #3: cost 4 inf + 84 10.495 * * [simplify]: Extracting #4: cost 0 inf + 410 10.495 * [simplify]: Simplified to (+ (* a a) (* b b)) 10.495 * [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)) 10.495 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 10.495 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 10.496 * [simplify]: Simplifying (+ (log (sqrt (+ (* a a) (* b b)))) (log (+ (* a a) (* b b)))) 10.496 * * [simplify]: iters left: 6 (9 enodes) 10.500 * * [simplify]: iters left: 5 (29 enodes) 10.504 * * [simplify]: Extracting #0: cost 1 inf + 0 10.504 * * [simplify]: Extracting #1: cost 4 inf + 0 10.504 * * [simplify]: Extracting #2: cost 8 inf + 0 10.504 * * [simplify]: Extracting #3: cost 12 inf + 0 10.505 * * [simplify]: Extracting #4: cost 16 inf + 0 10.505 * * [simplify]: Extracting #5: cost 12 inf + 84 10.505 * * [simplify]: Extracting #6: cost 10 inf + 166 10.505 * * [simplify]: Extracting #7: cost 6 inf + 764 10.505 * * [simplify]: Extracting #8: cost 2 inf + 1692 10.505 * * [simplify]: Extracting #9: cost 0 inf + 2266 10.506 * [simplify]: Simplified to (+ (log (+ (* a a) (* b b))) (log (sqrt (+ (* a a) (* b b))))) 10.506 * [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)) 10.506 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 10.506 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 10.506 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.506 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.506 * [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)))) 10.506 * * [simplify]: iters left: 6 (11 enodes) 10.509 * * [simplify]: iters left: 5 (54 enodes) 10.525 * * [simplify]: iters left: 4 (235 enodes) 10.733 * * [simplify]: Extracting #0: cost 1 inf + 0 10.733 * * [simplify]: Extracting #1: cost 16 inf + 0 10.733 * * [simplify]: Extracting #2: cost 139 inf + 1 10.735 * * [simplify]: Extracting #3: cost 286 inf + 1230 10.741 * * [simplify]: Extracting #4: cost 160 inf + 29204 10.759 * * [simplify]: Extracting #5: cost 9 inf + 69186 10.791 * * [simplify]: Extracting #6: cost 0 inf + 71404 10.811 * [simplify]: Simplified to (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b))))) 10.811 * [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)) 10.811 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.811 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.811 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.811 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.811 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (pow (* a a) 3) (pow (* b b) 3))) 10.811 * * [simplify]: iters left: 6 (10 enodes) 10.815 * * [simplify]: iters left: 5 (55 enodes) 10.839 * * [simplify]: iters left: 4 (152 enodes) 10.913 * * [simplify]: iters left: 3 (384 enodes) 11.053 * * [simplify]: Extracting #0: cost 1 inf + 0 11.053 * * [simplify]: Extracting #1: cost 6 inf + 0 11.054 * * [simplify]: Extracting #2: cost 69 inf + 0 11.055 * * [simplify]: Extracting #3: cost 193 inf + 165 11.058 * * [simplify]: Extracting #4: cost 138 inf + 14657 11.084 * * [simplify]: Extracting #5: cost 14 inf + 80235 11.112 * * [simplify]: Extracting #6: cost 0 inf + 81921 11.132 * * [simplify]: Extracting #7: cost 0 inf + 81044 11.147 * [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)))))) 11.147 * [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)) 11.147 * [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))))) 11.147 * * [simplify]: iters left: 6 (11 enodes) 11.151 * * [simplify]: iters left: 5 (62 enodes) 11.175 * * [simplify]: iters left: 4 (159 enodes) 11.217 * * [simplify]: iters left: 3 (390 enodes) 11.359 * * [simplify]: Extracting #0: cost 1 inf + 0 11.359 * * [simplify]: Extracting #1: cost 11 inf + 0 11.360 * * [simplify]: Extracting #2: cost 125 inf + 0 11.361 * * [simplify]: Extracting #3: cost 202 inf + 1541 11.374 * * [simplify]: Extracting #4: cost 98 inf + 27657 11.408 * * [simplify]: Extracting #5: cost 4 inf + 60577 11.433 * * [simplify]: Extracting #6: cost 0 inf + 62508 11.452 * [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)))) 11.452 * [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)) 11.453 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.454 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 11.454 * * [simplify]: iters left: 6 (13 enodes) 11.461 * * [simplify]: iters left: 5 (69 enodes) 11.485 * * [simplify]: iters left: 4 (138 enodes) 11.519 * * [simplify]: iters left: 3 (321 enodes) 11.629 * * [simplify]: Extracting #0: cost 1 inf + 0 11.629 * * [simplify]: Extracting #1: cost 40 inf + 0 11.630 * * [simplify]: Extracting #2: cost 130 inf + 0 11.631 * * [simplify]: Extracting #3: cost 175 inf + 368 11.635 * * [simplify]: Extracting #4: cost 132 inf + 9363 11.654 * * [simplify]: Extracting #5: cost 51 inf + 45819 11.677 * * [simplify]: Extracting #6: cost 13 inf + 59985 11.693 * * [simplify]: Extracting #7: cost 4 inf + 63720 11.714 * * [simplify]: Extracting #8: cost 1 inf + 64476 11.729 * * [simplify]: Extracting #9: cost 0 inf + 64728 11.751 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (sqrt (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b)))))) 11.751 * [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)) 11.752 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b))) 11.752 * * [simplify]: iters left: 6 (12 enodes) 11.755 * * [simplify]: iters left: 5 (64 enodes) 11.767 * * [simplify]: iters left: 4 (151 enodes) 11.819 * * [simplify]: iters left: 3 (312 enodes) 11.933 * * [simplify]: Extracting #0: cost 1 inf + 0 11.933 * * [simplify]: Extracting #1: cost 25 inf + 0 11.933 * * [simplify]: Extracting #2: cost 57 inf + 0 11.934 * * [simplify]: Extracting #3: cost 76 inf + 206 11.935 * * [simplify]: Extracting #4: cost 103 inf + 2603 11.939 * * [simplify]: Extracting #5: cost 43 inf + 20280 11.946 * * [simplify]: Extracting #6: cost 11 inf + 26580 11.953 * * [simplify]: Extracting #7: cost 1 inf + 28609 11.961 * * [simplify]: Extracting #8: cost 0 inf + 28861 11.971 * [simplify]: Simplified to (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) 11.971 * [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)) 11.971 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 11.972 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (pow (* a a) 3) (pow (* b b) 3))) 11.972 * * [simplify]: iters left: 6 (13 enodes) 11.980 * * [simplify]: iters left: 5 (75 enodes) 12.015 * * [simplify]: iters left: 4 (176 enodes) 12.062 * * [simplify]: iters left: 3 (437 enodes) 12.230 * * [simplify]: Extracting #0: cost 1 inf + 0 12.230 * * [simplify]: Extracting #1: cost 6 inf + 0 12.230 * * [simplify]: Extracting #2: cost 62 inf + 0 12.230 * * [simplify]: Extracting #3: cost 186 inf + 246 12.232 * * [simplify]: Extracting #4: cost 185 inf + 8313 12.241 * * [simplify]: Extracting #5: cost 42 inf + 58758 12.264 * * [simplify]: Extracting #6: cost 0 inf + 75768 12.297 * [simplify]: Simplified to (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 12.297 * [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)) 12.298 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 12.298 * * [simplify]: iters left: 6 (12 enodes) 12.305 * * [simplify]: iters left: 5 (70 enodes) 12.332 * * [simplify]: iters left: 4 (175 enodes) 12.403 * * [simplify]: iters left: 3 (405 enodes) 12.556 * * [simplify]: Extracting #0: cost 1 inf + 0 12.557 * * [simplify]: Extracting #1: cost 11 inf + 0 12.557 * * [simplify]: Extracting #2: cost 115 inf + 0 12.559 * * [simplify]: Extracting #3: cost 186 inf + 2554 12.570 * * [simplify]: Extracting #4: cost 74 inf + 26948 12.587 * * [simplify]: Extracting #5: cost 2 inf + 42336 12.600 * * [simplify]: Extracting #6: cost 0 inf + 42660 12.610 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))) 12.610 * [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)) 12.610 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 12.611 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 12.611 * * [simplify]: iters left: 6 (9 enodes) 12.613 * * [simplify]: iters left: 5 (41 enodes) 12.620 * * [simplify]: iters left: 4 (81 enodes) 12.641 * * [simplify]: iters left: 3 (201 enodes) 12.726 * * [simplify]: Extracting #0: cost 1 inf + 0 12.727 * * [simplify]: Extracting #1: cost 40 inf + 0 12.727 * * [simplify]: Extracting #2: cost 127 inf + 0 12.729 * * [simplify]: Extracting #3: cost 170 inf + 1376 12.739 * * [simplify]: Extracting #4: cost 63 inf + 24336 12.758 * * [simplify]: Extracting #5: cost 5 inf + 41812 12.779 * * [simplify]: Extracting #6: cost 0 inf + 43594 12.799 * [simplify]: Simplified to (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 12.799 * [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)) 12.799 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b))) 12.799 * * [simplify]: iters left: 6 (7 enodes) 12.803 * * [simplify]: iters left: 5 (27 enodes) 12.811 * * [simplify]: iters left: 4 (50 enodes) 12.827 * * [simplify]: iters left: 3 (112 enodes) 12.851 * * [simplify]: iters left: 2 (282 enodes) 12.941 * * [simplify]: Extracting #0: cost 1 inf + 0 12.942 * * [simplify]: Extracting #1: cost 50 inf + 0 12.942 * * [simplify]: Extracting #2: cost 128 inf + 0 12.944 * * [simplify]: Extracting #3: cost 126 inf + 2754 12.951 * * [simplify]: Extracting #4: cost 40 inf + 20840 12.965 * * [simplify]: Extracting #5: cost 0 inf + 30600 12.978 * [simplify]: Simplified to (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))) 12.978 * [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)) 12.979 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 12.979 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 12.979 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 12.979 * * [simplify]: iters left: 6 (8 enodes) 12.985 * * [simplify]: iters left: 5 (26 enodes) 12.992 * * [simplify]: Extracting #0: cost 1 inf + 0 12.992 * * [simplify]: Extracting #1: cost 4 inf + 0 12.992 * * [simplify]: Extracting #2: cost 7 inf + 0 12.992 * * [simplify]: Extracting #3: cost 10 inf + 0 12.992 * * [simplify]: Extracting #4: cost 14 inf + 0 12.992 * * [simplify]: Extracting #5: cost 11 inf + 43 12.992 * * [simplify]: Extracting #6: cost 9 inf + 125 12.992 * * [simplify]: Extracting #7: cost 5 inf + 572 12.993 * * [simplify]: Extracting #8: cost 1 inf + 1380 12.993 * * [simplify]: Extracting #9: cost 0 inf + 1622 12.994 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 12.994 * [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)) 12.994 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 12.995 * * [simplify]: iters left: 6 (8 enodes) 12.998 * * [simplify]: iters left: 5 (26 enodes) 13.005 * * [simplify]: Extracting #0: cost 1 inf + 0 13.005 * * [simplify]: Extracting #1: cost 4 inf + 0 13.005 * * [simplify]: Extracting #2: cost 7 inf + 0 13.005 * * [simplify]: Extracting #3: cost 10 inf + 0 13.005 * * [simplify]: Extracting #4: cost 14 inf + 0 13.005 * * [simplify]: Extracting #5: cost 11 inf + 43 13.005 * * [simplify]: Extracting #6: cost 9 inf + 125 13.005 * * [simplify]: Extracting #7: cost 5 inf + 572 13.006 * * [simplify]: Extracting #8: cost 1 inf + 1380 13.006 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.007 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 13.007 * [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)) 13.007 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 13.007 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 13.007 * * [simplify]: iters left: 6 (8 enodes) 13.011 * * [simplify]: iters left: 5 (26 enodes) 13.018 * * [simplify]: Extracting #0: cost 1 inf + 0 13.018 * * [simplify]: Extracting #1: cost 4 inf + 0 13.018 * * [simplify]: Extracting #2: cost 7 inf + 0 13.018 * * [simplify]: Extracting #3: cost 10 inf + 0 13.018 * * [simplify]: Extracting #4: cost 14 inf + 0 13.018 * * [simplify]: Extracting #5: cost 11 inf + 43 13.018 * * [simplify]: Extracting #6: cost 9 inf + 125 13.018 * * [simplify]: Extracting #7: cost 5 inf + 572 13.019 * * [simplify]: Extracting #8: cost 1 inf + 1380 13.019 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.020 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 13.020 * [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)) 13.020 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 13.021 * * [simplify]: iters left: 6 (8 enodes) 13.024 * * [simplify]: iters left: 5 (26 enodes) 13.030 * * [simplify]: Extracting #0: cost 1 inf + 0 13.030 * * [simplify]: Extracting #1: cost 4 inf + 0 13.030 * * [simplify]: Extracting #2: cost 7 inf + 0 13.030 * * [simplify]: Extracting #3: cost 10 inf + 0 13.031 * * [simplify]: Extracting #4: cost 14 inf + 0 13.031 * * [simplify]: Extracting #5: cost 11 inf + 43 13.031 * * [simplify]: Extracting #6: cost 9 inf + 125 13.031 * * [simplify]: Extracting #7: cost 5 inf + 572 13.031 * * [simplify]: Extracting #8: cost 1 inf + 1380 13.032 * * [simplify]: Extracting #9: cost 0 inf + 1622 13.032 * [simplify]: Simplified to (* (sqrt (+ (* a a) (* b b))) (sqrt (sqrt (+ (* a a) (* b b))))) 13.032 * [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)) 13.033 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 13.033 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* b b)) 13.033 * * [simplify]: iters left: 6 (7 enodes) 13.036 * * [simplify]: iters left: 5 (25 enodes) 13.043 * * [simplify]: iters left: 4 (29 enodes) 13.050 * * [simplify]: Extracting #0: cost 1 inf + 0 13.051 * * [simplify]: Extracting #1: cost 6 inf + 0 13.051 * * [simplify]: Extracting #2: cost 8 inf + 42 13.051 * * [simplify]: Extracting #3: cost 9 inf + 83 13.051 * * [simplify]: Extracting #4: cost 11 inf + 83 13.051 * * [simplify]: Extracting #5: cost 10 inf + 84 13.051 * * [simplify]: Extracting #6: cost 8 inf + 166 13.051 * * [simplify]: Extracting #7: cost 4 inf + 774 13.052 * * [simplify]: Extracting #8: cost 1 inf + 1340 13.053 * * [simplify]: Extracting #9: cost 0 inf + 1542 13.053 * [simplify]: Simplified to (* (* b b) (sqrt (+ (* a a) (* b b)))) 13.053 * [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)) 13.054 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 13.054 * [simplify]: Simplifying (* (* b b) (sqrt (+ (* a a) (* b b)))) 13.054 * * [simplify]: iters left: 6 (7 enodes) 13.057 * * [simplify]: iters left: 5 (25 enodes) 13.064 * * [simplify]: iters left: 4 (29 enodes) 13.071 * * [simplify]: iters left: 3 (30 enodes) 13.079 * * [simplify]: Extracting #0: cost 1 inf + 0 13.079 * * [simplify]: Extracting #1: cost 6 inf + 0 13.079 * * [simplify]: Extracting #2: cost 9 inf + 1 13.079 * * [simplify]: Extracting #3: cost 9 inf + 83 13.079 * * [simplify]: Extracting #4: cost 11 inf + 83 13.079 * * [simplify]: Extracting #5: cost 8 inf + 166 13.080 * * [simplify]: Extracting #6: cost 4 inf + 774 13.080 * * [simplify]: Extracting #7: cost 1 inf + 1340 13.081 * * [simplify]: Extracting #8: cost 0 inf + 1542 13.081 * [simplify]: Simplified to (* (sqrt (+ (* b b) (* a a))) (* b b)) 13.081 * [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)) 13.081 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 13.082 * [simplify]: Simplifying (cbrt (+ (* a a) (* b b))) 13.082 * * [simplify]: iters left: 5 (6 enodes) 13.084 * * [simplify]: iters left: 4 (19 enodes) 13.089 * * [simplify]: Extracting #0: cost 1 inf + 0 13.089 * * [simplify]: Extracting #1: cost 3 inf + 0 13.089 * * [simplify]: Extracting #2: cost 6 inf + 0 13.089 * * [simplify]: Extracting #3: cost 10 inf + 0 13.090 * * [simplify]: Extracting #4: cost 6 inf + 84 13.090 * * [simplify]: Extracting #5: cost 0 inf + 814 13.090 * [simplify]: Simplified to (cbrt (+ (* a a) (* b b))) 13.090 * [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)) 13.090 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 13.091 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 13.091 * * [simplify]: iters left: 5 (6 enodes) 13.093 * * [simplify]: iters left: 4 (19 enodes) 13.098 * * [simplify]: Extracting #0: cost 1 inf + 0 13.098 * * [simplify]: Extracting #1: cost 3 inf + 0 13.098 * * [simplify]: Extracting #2: cost 6 inf + 0 13.098 * * [simplify]: Extracting #3: cost 10 inf + 0 13.098 * * [simplify]: Extracting #4: cost 6 inf + 84 13.099 * * [simplify]: Extracting #5: cost 0 inf + 734 13.099 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 13.099 * [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)) 13.099 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 13.099 * [simplify]: Simplifying (+ (* a a) (* b b)) 13.100 * * [simplify]: iters left: 4 (5 enodes) 13.102 * * [simplify]: iters left: 3 (16 enodes) 13.106 * * [simplify]: Extracting #0: cost 1 inf + 0 13.106 * * [simplify]: Extracting #1: cost 4 inf + 0 13.106 * * [simplify]: Extracting #2: cost 8 inf + 0 13.106 * * [simplify]: Extracting #3: cost 4 inf + 84 13.106 * * [simplify]: Extracting #4: cost 0 inf + 410 13.106 * [simplify]: Simplified to (+ (* a a) (* b b)) 13.106 * [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)) 13.107 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 13.107 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 13.107 * * [simplify]: iters left: 6 (8 enodes) 13.110 * * [simplify]: iters left: 5 (25 enodes) 13.117 * * [simplify]: Extracting #0: cost 1 inf + 0 13.117 * * [simplify]: Extracting #1: cost 3 inf + 0 13.117 * * [simplify]: Extracting #2: cost 5 inf + 0 13.117 * * [simplify]: Extracting #3: cost 7 inf + 0 13.117 * * [simplify]: Extracting #4: cost 10 inf + 0 13.117 * * [simplify]: Extracting #5: cost 14 inf + 0 13.117 * * [simplify]: Extracting #6: cost 11 inf + 43 13.118 * * [simplify]: Extracting #7: cost 9 inf + 125 13.118 * * [simplify]: Extracting #8: cost 5 inf + 572 13.118 * * [simplify]: Extracting #9: cost 1 inf + 1500 13.119 * * [simplify]: Extracting #10: cost 0 inf + 1782 13.119 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 13.119 * [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)) 13.119 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 13.120 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 13.120 * * [simplify]: iters left: 6 (8 enodes) 13.122 * * [simplify]: iters left: 5 (26 enodes) 13.126 * * [simplify]: Extracting #0: cost 1 inf + 0 13.126 * * [simplify]: Extracting #1: cost 4 inf + 0 13.127 * * [simplify]: Extracting #2: cost 7 inf + 0 13.127 * * [simplify]: Extracting #3: cost 10 inf + 0 13.127 * * [simplify]: Extracting #4: cost 14 inf + 0 13.127 * * [simplify]: Extracting #5: cost 10 inf + 84 13.127 * * [simplify]: Extracting #6: cost 8 inf + 166 13.127 * * [simplify]: Extracting #7: cost 4 inf + 854 13.127 * * [simplify]: Extracting #8: cost 1 inf + 1540 13.127 * * [simplify]: Extracting #9: cost 0 inf + 1782 13.128 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 13.128 * [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)) 13.128 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 13.128 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 13.128 * * [simplify]: iters left: 6 (7 enodes) 13.130 * * [simplify]: iters left: 5 (22 enodes) 13.132 * * [simplify]: Extracting #0: cost 1 inf + 0 13.132 * * [simplify]: Extracting #1: cost 3 inf + 0 13.132 * * [simplify]: Extracting #2: cost 5 inf + 0 13.132 * * [simplify]: Extracting #3: cost 8 inf + 0 13.133 * * [simplify]: Extracting #4: cost 12 inf + 0 13.133 * * [simplify]: Extracting #5: cost 10 inf + 2 13.133 * * [simplify]: Extracting #6: cost 1 inf + 936 13.133 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.133 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 13.133 * [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)) 13.133 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 13.133 * [simplify]: Simplifying (sqrt 1) 13.134 * * [simplify]: iters left: 1 (2 enodes) 13.136 * * [simplify]: Extracting #0: cost 1 inf + 0 13.136 * * [simplify]: Extracting #1: cost 0 inf + 1 13.136 * [simplify]: Simplified to 1 13.136 * [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)) 13.136 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 13.136 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 13.136 * * [simplify]: iters left: 6 (7 enodes) 13.137 * * [simplify]: iters left: 5 (22 enodes) 13.140 * * [simplify]: Extracting #0: cost 1 inf + 0 13.140 * * [simplify]: Extracting #1: cost 3 inf + 0 13.140 * * [simplify]: Extracting #2: cost 5 inf + 0 13.140 * * [simplify]: Extracting #3: cost 8 inf + 0 13.140 * * [simplify]: Extracting #4: cost 12 inf + 0 13.141 * * [simplify]: Extracting #5: cost 10 inf + 2 13.141 * * [simplify]: Extracting #6: cost 1 inf + 936 13.141 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.141 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 13.141 * [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)) 13.141 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 13.141 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 13.142 * [simplify]: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) 13.142 * * [simplify]: iters left: 6 (9 enodes) 13.145 * * [simplify]: iters left: 5 (49 enodes) 13.158 * * [simplify]: iters left: 4 (116 enodes) 13.196 * * [simplify]: iters left: 3 (231 enodes) 13.265 * * [simplify]: iters left: 2 (363 enodes) 13.426 * * [simplify]: Extracting #0: cost 1 inf + 0 13.426 * * [simplify]: Extracting #1: cost 20 inf + 0 13.426 * * [simplify]: Extracting #2: cost 146 inf + 0 13.430 * * [simplify]: Extracting #3: cost 200 inf + 1989 13.434 * * [simplify]: Extracting #4: cost 63 inf + 22827 13.445 * * [simplify]: Extracting #5: cost 0 inf + 34174 13.458 * * [simplify]: Extracting #6: cost 0 inf + 34134 13.471 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 13.472 * [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)) 13.472 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 13.472 * [simplify]: Simplifying (- (* a a) (* b b)) 13.472 * * [simplify]: iters left: 4 (5 enodes) 13.475 * * [simplify]: iters left: 3 (20 enodes) 13.481 * * [simplify]: iters left: 2 (33 enodes) 13.490 * * [simplify]: iters left: 1 (50 enodes) 13.506 * * [simplify]: Extracting #0: cost 1 inf + 0 13.506 * * [simplify]: Extracting #1: cost 11 inf + 0 13.506 * * [simplify]: Extracting #2: cost 29 inf + 0 13.506 * * [simplify]: Extracting #3: cost 19 inf + 455 13.507 * * [simplify]: Extracting #4: cost 0 inf + 2130 13.508 * * [simplify]: Extracting #5: cost 0 inf + 1970 13.509 * [simplify]: Simplified to (* (+ a b) (- a b)) 13.509 * [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)) 13.510 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 13.510 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b))) 13.510 * * [simplify]: iters left: 6 (11 enodes) 13.516 * * [simplify]: iters left: 5 (59 enodes) 13.541 * * [simplify]: iters left: 4 (132 enodes) 13.587 * * [simplify]: iters left: 3 (234 enodes) 13.637 * * [simplify]: iters left: 2 (414 enodes) 13.770 * * [simplify]: Extracting #0: cost 1 inf + 0 13.771 * * [simplify]: Extracting #1: cost 6 inf + 0 13.771 * * [simplify]: Extracting #2: cost 17 inf + 0 13.771 * * [simplify]: Extracting #3: cost 21 inf + 43 13.771 * * [simplify]: Extracting #4: cost 66 inf + 288 13.772 * * [simplify]: Extracting #5: cost 149 inf + 3095 13.773 * * [simplify]: Extracting #6: cost 132 inf + 11865 13.777 * * [simplify]: Extracting #7: cost 76 inf + 27949 13.782 * * [simplify]: Extracting #8: cost 7 inf + 59546 13.788 * * [simplify]: Extracting #9: cost 0 inf + 62536 13.795 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (sqrt (+ (* (* (* a a) (* a a)) (* a a)) (* (* b b) (* (* b b) (* b b)))))) 13.795 * [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)) 13.795 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 13.796 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b))) 13.796 * * [simplify]: iters left: 6 (10 enodes) 13.798 * * [simplify]: iters left: 5 (50 enodes) 13.807 * * [simplify]: iters left: 4 (95 enodes) 13.825 * * [simplify]: iters left: 3 (159 enodes) 13.853 * * [simplify]: iters left: 2 (314 enodes) 13.959 * * [simplify]: Extracting #0: cost 1 inf + 0 13.959 * * [simplify]: Extracting #1: cost 6 inf + 0 13.959 * * [simplify]: Extracting #2: cost 17 inf + 0 13.959 * * [simplify]: Extracting #3: cost 65 inf + 2 13.965 * * [simplify]: Extracting #4: cost 154 inf + 290 13.969 * * [simplify]: Extracting #5: cost 143 inf + 10013 13.982 * * [simplify]: Extracting #6: cost 32 inf + 31002 13.998 * * [simplify]: Extracting #7: cost 6 inf + 37496 14.014 * * [simplify]: Extracting #8: cost 0 inf + 38808 14.031 * [simplify]: Simplified to (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b))) 14.031 * [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)) 14.031 * * * * [progress]: [ 69 / 143 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) 1))> 14.031 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 14.031 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 14.032 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.032 * * [simplify]: iters left: 4 (5 enodes) 14.034 * * [simplify]: iters left: 3 (16 enodes) 14.038 * * [simplify]: Extracting #0: cost 1 inf + 0 14.038 * * [simplify]: Extracting #1: cost 4 inf + 0 14.038 * * [simplify]: Extracting #2: cost 8 inf + 0 14.038 * * [simplify]: Extracting #3: cost 4 inf + 84 14.039 * * [simplify]: Extracting #4: cost 0 inf + 410 14.039 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.039 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ 1/2 1)))) 1)) 14.039 * [simplify]: Simplifying (+ 1/2 (+ 1/2 1)) 14.039 * * [simplify]: iters left: 4 (4 enodes) 14.045 * * [simplify]: iters left: 3 (20 enodes) 14.050 * * [simplify]: iters left: 2 (22 enodes) 14.056 * * [simplify]: Extracting #0: cost 1 inf + 0 14.056 * * [simplify]: Extracting #1: cost 0 inf + 1 14.056 * [simplify]: Simplified to 2 14.056 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.056 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 14.056 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.056 * * [simplify]: iters left: 4 (5 enodes) 14.058 * * [simplify]: iters left: 3 (16 enodes) 14.062 * * [simplify]: Extracting #0: cost 1 inf + 0 14.062 * * [simplify]: Extracting #1: cost 4 inf + 0 14.062 * * [simplify]: Extracting #2: cost 8 inf + 0 14.063 * * [simplify]: Extracting #3: cost 4 inf + 84 14.063 * * [simplify]: Extracting #4: cost 0 inf + 410 14.063 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.063 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ (/ 1 2) 1)))) 1)) 14.063 * [simplify]: Simplifying (+ 1/2 (+ (/ 1 2) 1)) 14.064 * * [simplify]: iters left: 6 (6 enodes) 14.068 * * [simplify]: iters left: 5 (24 enodes) 14.080 * * [simplify]: iters left: 4 (38 enodes) 14.087 * * [simplify]: Extracting #0: cost 1 inf + 0 14.088 * * [simplify]: Extracting #1: cost 0 inf + 1 14.088 * [simplify]: Simplified to 2 14.088 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.088 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 14.088 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.088 * * [simplify]: iters left: 4 (5 enodes) 14.090 * * [simplify]: iters left: 3 (16 enodes) 14.095 * * [simplify]: Extracting #0: cost 1 inf + 0 14.095 * * [simplify]: Extracting #1: cost 4 inf + 0 14.095 * * [simplify]: Extracting #2: cost 8 inf + 0 14.095 * * [simplify]: Extracting #3: cost 4 inf + 84 14.095 * * [simplify]: Extracting #4: cost 0 inf + 410 14.095 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.095 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ 1/2 1)))) 1)) 14.096 * [simplify]: Simplifying (+ 1/2 (+ 1/2 1)) 14.096 * * [simplify]: iters left: 4 (4 enodes) 14.102 * * [simplify]: iters left: 3 (20 enodes) 14.107 * * [simplify]: iters left: 2 (22 enodes) 14.116 * * [simplify]: Extracting #0: cost 1 inf + 0 14.116 * * [simplify]: Extracting #1: cost 0 inf + 1 14.117 * [simplify]: Simplified to 2 14.117 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.117 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 14.117 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.117 * * [simplify]: iters left: 4 (5 enodes) 14.119 * * [simplify]: iters left: 3 (16 enodes) 14.124 * * [simplify]: Extracting #0: cost 1 inf + 0 14.124 * * [simplify]: Extracting #1: cost 4 inf + 0 14.124 * * [simplify]: Extracting #2: cost 8 inf + 0 14.124 * * [simplify]: Extracting #3: cost 4 inf + 84 14.124 * * [simplify]: Extracting #4: cost 0 inf + 410 14.124 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.124 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ 1/2 (+ (/ 1 2) 1)))) 1)) 14.125 * [simplify]: Simplifying (+ 1/2 (+ (/ 1 2) 1)) 14.125 * * [simplify]: iters left: 6 (6 enodes) 14.130 * * [simplify]: iters left: 5 (24 enodes) 14.141 * * [simplify]: iters left: 4 (38 enodes) 14.145 * * [simplify]: Extracting #0: cost 1 inf + 0 14.145 * * [simplify]: Extracting #1: cost 0 inf + 1 14.145 * [simplify]: Simplified to 2 14.145 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.145 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 14.146 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 14.146 * * [simplify]: iters left: 5 (6 enodes) 14.147 * * [simplify]: iters left: 4 (19 enodes) 14.150 * * [simplify]: Extracting #0: cost 1 inf + 0 14.150 * * [simplify]: Extracting #1: cost 3 inf + 0 14.150 * * [simplify]: Extracting #2: cost 6 inf + 0 14.150 * * [simplify]: Extracting #3: cost 10 inf + 0 14.150 * * [simplify]: Extracting #4: cost 6 inf + 84 14.150 * * [simplify]: Extracting #5: cost 0 inf + 734 14.150 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 14.150 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) (+ 1 3))) 1)) 14.150 * [simplify]: Simplifying (+ 1 3) 14.150 * * [simplify]: iters left: 2 (3 enodes) 14.153 * * [simplify]: iters left: 1 (13 enodes) 14.156 * * [simplify]: Extracting #0: cost 1 inf + 0 14.156 * * [simplify]: Extracting #1: cost 0 inf + 1 14.156 * [simplify]: Simplified to 4 14.156 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 14.156 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 14.156 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.156 * * [simplify]: iters left: 4 (5 enodes) 14.158 * * [simplify]: iters left: 3 (16 enodes) 14.160 * * [simplify]: Extracting #0: cost 1 inf + 0 14.160 * * [simplify]: Extracting #1: cost 4 inf + 0 14.160 * * [simplify]: Extracting #2: cost 8 inf + 0 14.160 * * [simplify]: Extracting #3: cost 4 inf + 84 14.160 * * [simplify]: Extracting #4: cost 0 inf + 410 14.160 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.160 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ 1/2 1)))) 1)) 14.161 * [simplify]: Simplifying (+ (/ 1 2) (+ 1/2 1)) 14.161 * * [simplify]: iters left: 4 (6 enodes) 14.166 * * [simplify]: iters left: 3 (25 enodes) 14.173 * * [simplify]: iters left: 2 (27 enodes) 14.180 * * [simplify]: Extracting #0: cost 1 inf + 0 14.180 * * [simplify]: Extracting #1: cost 0 inf + 1 14.180 * [simplify]: Simplified to 2 14.180 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.180 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 14.180 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.180 * * [simplify]: iters left: 4 (5 enodes) 14.183 * * [simplify]: iters left: 3 (16 enodes) 14.187 * * [simplify]: Extracting #0: cost 1 inf + 0 14.187 * * [simplify]: Extracting #1: cost 4 inf + 0 14.188 * * [simplify]: Extracting #2: cost 8 inf + 0 14.188 * * [simplify]: Extracting #3: cost 4 inf + 84 14.188 * * [simplify]: Extracting #4: cost 0 inf + 410 14.188 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.188 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ (/ 1 2) 1)))) 1)) 14.188 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1 2) 1)) 14.188 * * [simplify]: iters left: 6 (5 enodes) 14.195 * * [simplify]: iters left: 5 (23 enodes) 14.203 * * [simplify]: iters left: 4 (25 enodes) 14.210 * * [simplify]: Extracting #0: cost 1 inf + 0 14.210 * * [simplify]: Extracting #1: cost 0 inf + 1 14.210 * [simplify]: Simplified to 2 14.210 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.210 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 14.211 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.211 * * [simplify]: iters left: 4 (5 enodes) 14.213 * * [simplify]: iters left: 3 (16 enodes) 14.217 * * [simplify]: Extracting #0: cost 1 inf + 0 14.218 * * [simplify]: Extracting #1: cost 4 inf + 0 14.218 * * [simplify]: Extracting #2: cost 8 inf + 0 14.218 * * [simplify]: Extracting #3: cost 4 inf + 84 14.218 * * [simplify]: Extracting #4: cost 0 inf + 410 14.218 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.218 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ 1/2 1)))) 1)) 14.218 * [simplify]: Simplifying (+ (/ 1 2) (+ 1/2 1)) 14.219 * * [simplify]: iters left: 4 (6 enodes) 14.227 * * [simplify]: iters left: 3 (25 enodes) 14.234 * * [simplify]: iters left: 2 (27 enodes) 14.241 * * [simplify]: Extracting #0: cost 1 inf + 0 14.241 * * [simplify]: Extracting #1: cost 0 inf + 1 14.241 * [simplify]: Simplified to 2 14.241 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.241 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 14.242 * [simplify]: Simplifying (+ (* a a) (* b b)) 14.242 * * [simplify]: iters left: 4 (5 enodes) 14.244 * * [simplify]: iters left: 3 (16 enodes) 14.248 * * [simplify]: Extracting #0: cost 1 inf + 0 14.248 * * [simplify]: Extracting #1: cost 4 inf + 0 14.248 * * [simplify]: Extracting #2: cost 8 inf + 0 14.248 * * [simplify]: Extracting #3: cost 4 inf + 84 14.249 * * [simplify]: Extracting #4: cost 0 inf + 410 14.249 * [simplify]: Simplified to (+ (* a a) (* b b)) 14.249 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (+ (/ 1 2) (+ (/ 1 2) 1)))) 1)) 14.249 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1 2) 1)) 14.249 * * [simplify]: iters left: 6 (5 enodes) 14.259 * * [simplify]: iters left: 5 (23 enodes) 14.268 * * [simplify]: iters left: 4 (25 enodes) 14.275 * * [simplify]: Extracting #0: cost 1 inf + 0 14.275 * * [simplify]: Extracting #1: cost 0 inf + 1 14.275 * [simplify]: Simplified to 2 14.275 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) 2)) 1)) 14.275 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 14.275 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 14.275 * * [simplify]: iters left: 6 (8 enodes) 14.279 * * [simplify]: iters left: 5 (35 enodes) 14.292 * * [simplify]: iters left: 4 (77 enodes) 14.320 * * [simplify]: iters left: 3 (139 enodes) 14.355 * * [simplify]: iters left: 2 (227 enodes) 14.428 * * [simplify]: iters left: 1 (347 enodes) 14.501 * * [simplify]: Extracting #0: cost 1 inf + 0 14.501 * * [simplify]: Extracting #1: cost 20 inf + 0 14.502 * * [simplify]: Extracting #2: cost 76 inf + 1 14.502 * * [simplify]: Extracting #3: cost 85 inf + 534 14.505 * * [simplify]: Extracting #4: cost 44 inf + 6902 14.511 * * [simplify]: Extracting #5: cost 4 inf + 14858 14.518 * * [simplify]: Extracting #6: cost 0 inf + 15757 14.525 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 14.525 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) 1)) 14.525 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 14.525 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 14.526 * * [simplify]: iters left: 6 (8 enodes) 14.529 * * [simplify]: iters left: 5 (35 enodes) 14.542 * * [simplify]: iters left: 4 (77 enodes) 14.566 * * [simplify]: iters left: 3 (139 enodes) 14.594 * * [simplify]: iters left: 2 (227 enodes) 14.667 * * [simplify]: iters left: 1 (347 enodes) 14.722 * * [simplify]: Extracting #0: cost 1 inf + 0 14.722 * * [simplify]: Extracting #1: cost 20 inf + 0 14.722 * * [simplify]: Extracting #2: cost 76 inf + 1 14.723 * * [simplify]: Extracting #3: cost 85 inf + 534 14.725 * * [simplify]: Extracting #4: cost 44 inf + 6902 14.735 * * [simplify]: Extracting #5: cost 4 inf + 14858 14.742 * * [simplify]: Extracting #6: cost 0 inf + 15757 14.749 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 14.749 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) 1)) 14.749 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 14.749 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 14.750 * [simplify]: Simplifying (+ (log (sqrt (+ (* a a) (* b b)))) (+ (log (sqrt (+ (* a a) (* b b)))) (log (+ (* a a) (* b b))))) 14.750 * * [simplify]: iters left: 6 (10 enodes) 14.754 * * [simplify]: iters left: 5 (35 enodes) 14.763 * * [simplify]: iters left: 4 (38 enodes) 14.773 * * [simplify]: Extracting #0: cost 1 inf + 0 14.773 * * [simplify]: Extracting #1: cost 6 inf + 0 14.773 * * [simplify]: Extracting #2: cost 12 inf + 0 14.773 * * [simplify]: Extracting #3: cost 16 inf + 0 14.773 * * [simplify]: Extracting #4: cost 20 inf + 0 14.773 * * [simplify]: Extracting #5: cost 17 inf + 43 14.773 * * [simplify]: Extracting #6: cost 15 inf + 125 14.773 * * [simplify]: Extracting #7: cost 9 inf + 956 14.774 * * [simplify]: Extracting #8: cost 1 inf + 3302 14.775 * * [simplify]: Extracting #9: cost 0 inf + 3574 14.776 * [simplify]: Simplified to (+ (log (+ (* a a) (* b b))) (+ (log (sqrt (+ (* a a) (* b b)))) (log (sqrt (+ (* a a) (* b b)))))) 14.777 * [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)) 14.777 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 14.777 * [simplify]: Simplifying (+ (log (sqrt (+ (* a a) (* b b)))) (log (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 14.777 * * [simplify]: iters left: 6 (10 enodes) 14.782 * * [simplify]: iters left: 5 (41 enodes) 14.795 * * [simplify]: iters left: 4 (64 enodes) 14.811 * * [simplify]: iters left: 3 (75 enodes) 14.827 * * [simplify]: Extracting #0: cost 1 inf + 0 14.827 * * [simplify]: Extracting #1: cost 6 inf + 0 14.827 * * [simplify]: Extracting #2: cost 13 inf + 0 14.827 * * [simplify]: Extracting #3: cost 20 inf + 0 14.827 * * [simplify]: Extracting #4: cost 28 inf + 0 14.827 * * [simplify]: Extracting #5: cost 25 inf + 125 14.828 * * [simplify]: Extracting #6: cost 21 inf + 572 14.829 * * [simplify]: Extracting #7: cost 4 inf + 4466 14.830 * * [simplify]: Extracting #8: cost 0 inf + 5454 14.831 * [simplify]: Simplified to (+ (+ (log (sqrt (+ (* a a) (* b b)))) (log (sqrt (+ (* a a) (* b b))))) (log (+ (* a a) (* b b)))) 14.831 * [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)) 14.831 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 14.831 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 14.831 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 14.832 * [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))))) 14.832 * * [simplify]: iters left: 6 (12 enodes) 14.835 * * [simplify]: iters left: 5 (62 enodes) 14.856 * * [simplify]: iters left: 4 (278 enodes) 15.171 * * [simplify]: Extracting #0: cost 1 inf + 0 15.171 * * [simplify]: Extracting #1: cost 28 inf + 0 15.172 * * [simplify]: Extracting #2: cost 205 inf + 1 15.177 * * [simplify]: Extracting #3: cost 348 inf + 7957 15.192 * * [simplify]: Extracting #4: cost 125 inf + 62605 15.233 * * [simplify]: Extracting #5: cost 2 inf + 98942 15.271 * * [simplify]: Extracting #6: cost 0 inf + 99506 15.329 * [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))))) 15.329 * [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)) 15.329 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 15.330 * [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))))) 15.330 * * [simplify]: iters left: 6 (12 enodes) 15.336 * * [simplify]: iters left: 5 (52 enodes) 15.365 * * [simplify]: iters left: 4 (195 enodes) 15.609 * * [simplify]: Extracting #0: cost 1 inf + 0 15.609 * * [simplify]: Extracting #1: cost 24 inf + 0 15.610 * * [simplify]: Extracting #2: cost 174 inf + 2 15.611 * * [simplify]: Extracting #3: cost 277 inf + 542 15.617 * * [simplify]: Extracting #4: cost 174 inf + 27089 15.652 * * [simplify]: Extracting #5: cost 8 inf + 75977 15.696 * * [simplify]: Extracting #6: cost 0 inf + 78033 15.724 * [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))))) 15.725 * [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)) 15.725 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 15.725 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 15.725 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 15.725 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 15.726 * [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)))) 15.726 * * [simplify]: iters left: 6 (11 enodes) 15.733 * * [simplify]: iters left: 5 (61 enodes) 15.761 * * [simplify]: iters left: 4 (182 enodes) 15.840 * * [simplify]: Extracting #0: cost 1 inf + 0 15.840 * * [simplify]: Extracting #1: cost 13 inf + 0 15.840 * * [simplify]: Extracting #2: cost 85 inf + 0 15.841 * * [simplify]: Extracting #3: cost 152 inf + 368 15.842 * * [simplify]: Extracting #4: cost 135 inf + 4714 15.851 * * [simplify]: Extracting #5: cost 23 inf + 48277 15.875 * * [simplify]: Extracting #6: cost 2 inf + 58360 15.900 * * [simplify]: Extracting #7: cost 0 inf + 58864 15.913 * [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))))) 15.913 * [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)) 15.913 * [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)))))) 15.914 * * [simplify]: iters left: 6 (12 enodes) 15.917 * * [simplify]: iters left: 5 (68 enodes) 15.932 * * [simplify]: iters left: 4 (189 enodes) 16.006 * * [simplify]: Extracting #0: cost 1 inf + 0 16.006 * * [simplify]: Extracting #1: cost 17 inf + 0 16.006 * * [simplify]: Extracting #2: cost 100 inf + 0 16.007 * * [simplify]: Extracting #3: cost 158 inf + 2669 16.012 * * [simplify]: Extracting #4: cost 62 inf + 31478 16.022 * * [simplify]: Extracting #5: cost 3 inf + 46040 16.039 * * [simplify]: Extracting #6: cost 0 inf + 46936 16.059 * [simplify]: Simplified to (* (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a)))) 16.059 * [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)) 16.060 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 16.060 * [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))))) 16.060 * * [simplify]: iters left: 6 (14 enodes) 16.069 * * [simplify]: iters left: 5 (75 enodes) 16.100 * * [simplify]: iters left: 4 (153 enodes) 16.155 * * [simplify]: iters left: 3 (434 enodes) 16.402 * * [simplify]: Extracting #0: cost 1 inf + 0 16.402 * * [simplify]: Extracting #1: cost 62 inf + 0 16.404 * * [simplify]: Extracting #2: cost 380 inf + 0 16.407 * * [simplify]: Extracting #3: cost 433 inf + 10597 16.421 * * [simplify]: Extracting #4: cost 206 inf + 73038 16.797 * * [simplify]: Extracting #5: cost 29 inf + 142972 16.863 * * [simplify]: Extracting #6: cost 1 inf + 154954 16.907 * * [simplify]: Extracting #7: cost 0 inf + 155457 16.952 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* (* a a) (* (* a a) (* a a))) (* (* b b) (* (* b b) (* b b))))) 16.952 * [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)) 16.953 * [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)))) 16.953 * * [simplify]: iters left: 6 (13 enodes) 16.956 * * [simplify]: iters left: 5 (70 enodes) 16.970 * * [simplify]: iters left: 4 (166 enodes) 17.036 * * [simplify]: iters left: 3 (447 enodes) 17.276 * * [simplify]: Extracting #0: cost 1 inf + 0 17.277 * * [simplify]: Extracting #1: cost 63 inf + 0 17.279 * * [simplify]: Extracting #2: cost 376 inf + 0 17.291 * * [simplify]: Extracting #3: cost 276 inf + 37129 17.315 * * [simplify]: Extracting #4: cost 20 inf + 101710 17.362 * * [simplify]: Extracting #5: cost 11 inf + 100009 17.391 * * [simplify]: Extracting #6: cost 1 inf + 101958 17.428 * * [simplify]: Extracting #7: cost 0 inf + 102210 17.477 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* (- (* a a) (* b b)) (* a a))) (* (* (* b b) (* b b)) (- (* a a) (* b b)))) 17.477 * [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)) 17.478 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 17.478 * [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)))) 17.478 * * [simplify]: iters left: 6 (15 enodes) 17.487 * * [simplify]: iters left: 5 (84 enodes) 17.508 * * [simplify]: iters left: 4 (213 enodes) 17.583 * * [simplify]: Extracting #0: cost 1 inf + 0 17.583 * * [simplify]: Extracting #1: cost 16 inf + 0 17.584 * * [simplify]: Extracting #2: cost 106 inf + 0 17.585 * * [simplify]: Extracting #3: cost 186 inf + 488 17.588 * * [simplify]: Extracting #4: cost 162 inf + 11962 17.606 * * [simplify]: Extracting #5: cost 51 inf + 53756 17.638 * * [simplify]: Extracting #6: cost 0 inf + 73992 17.658 * [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))))))) 17.658 * [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)) 17.659 * [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)))))) 17.659 * * [simplify]: iters left: 6 (14 enodes) 17.663 * * [simplify]: iters left: 5 (79 enodes) 17.679 * * [simplify]: iters left: 4 (214 enodes) 17.743 * * [simplify]: Extracting #0: cost 1 inf + 0 17.743 * * [simplify]: Extracting #1: cost 24 inf + 0 17.743 * * [simplify]: Extracting #2: cost 107 inf + 0 17.744 * * [simplify]: Extracting #3: cost 178 inf + 1377 17.751 * * [simplify]: Extracting #4: cost 106 inf + 19459 17.769 * * [simplify]: Extracting #5: cost 10 inf + 47085 17.782 * * [simplify]: Extracting #6: cost 0 inf + 51005 17.793 * [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))))) 17.793 * [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)) 17.794 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 17.794 * [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))))) 17.794 * * [simplify]: iters left: 6 (15 enodes) 17.798 * * [simplify]: iters left: 5 (78 enodes) 17.823 * * [simplify]: iters left: 4 (163 enodes) 17.903 * * [simplify]: iters left: 3 (444 enodes) 18.087 * * [simplify]: Extracting #0: cost 1 inf + 0 18.087 * * [simplify]: Extracting #1: cost 55 inf + 0 18.088 * * [simplify]: Extracting #2: cost 228 inf + 0 18.089 * * [simplify]: Extracting #3: cost 307 inf + 2682 18.108 * * [simplify]: Extracting #4: cost 181 inf + 43628 18.140 * * [simplify]: Extracting #5: cost 42 inf + 117418 18.182 * * [simplify]: Extracting #6: cost 13 inf + 129405 18.251 * * [simplify]: Extracting #7: cost 4 inf + 133100 18.313 * * [simplify]: Extracting #8: cost 2 inf + 133604 18.371 * * [simplify]: Extracting #9: cost 0 inf + 134108 18.410 * [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)))))) 18.411 * [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)) 18.411 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)))) 18.411 * * [simplify]: iters left: 6 (14 enodes) 18.416 * * [simplify]: iters left: 5 (73 enodes) 18.445 * * [simplify]: iters left: 4 (176 enodes) 18.495 * * [simplify]: iters left: 3 (420 enodes) 18.638 * * [simplify]: Extracting #0: cost 1 inf + 0 18.638 * * [simplify]: Extracting #1: cost 37 inf + 0 18.638 * * [simplify]: Extracting #2: cost 123 inf + 0 18.639 * * [simplify]: Extracting #3: cost 159 inf + 206 18.641 * * [simplify]: Extracting #4: cost 161 inf + 8213 18.659 * * [simplify]: Extracting #5: cost 69 inf + 38834 18.691 * * [simplify]: Extracting #6: cost 10 inf + 55848 18.727 * * [simplify]: Extracting #7: cost 3 inf + 57511 18.761 * * [simplify]: Extracting #8: cost 0 inf + 58147 18.778 * [simplify]: Simplified to (* (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))) 18.778 * [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)) 18.778 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 18.779 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (* a a) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 18.779 * * [simplify]: iters left: 6 (13 enodes) 18.783 * * [simplify]: iters left: 5 (68 enodes) 18.799 * * [simplify]: iters left: 4 (193 enodes) 18.854 * * [simplify]: Extracting #0: cost 1 inf + 0 18.854 * * [simplify]: Extracting #1: cost 16 inf + 0 18.854 * * [simplify]: Extracting #2: cost 106 inf + 0 18.855 * * [simplify]: Extracting #3: cost 176 inf + 408 18.857 * * [simplify]: Extracting #4: cost 131 inf + 11879 18.865 * * [simplify]: Extracting #5: cost 35 inf + 51460 18.878 * * [simplify]: Extracting #6: cost 5 inf + 63673 18.890 * * [simplify]: Extracting #7: cost 0 inf + 65636 18.914 * [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))))) 18.914 * [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)) 18.914 * [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))))) 18.915 * * [simplify]: iters left: 6 (11 enodes) 18.919 * * [simplify]: iters left: 5 (62 enodes) 18.931 * * [simplify]: iters left: 4 (159 enodes) 18.979 * * [simplify]: iters left: 3 (390 enodes) 19.146 * * [simplify]: Extracting #0: cost 1 inf + 0 19.146 * * [simplify]: Extracting #1: cost 11 inf + 0 19.146 * * [simplify]: Extracting #2: cost 125 inf + 0 19.147 * * [simplify]: Extracting #3: cost 202 inf + 1541 19.153 * * [simplify]: Extracting #4: cost 98 inf + 27657 19.183 * * [simplify]: Extracting #5: cost 4 inf + 60577 19.205 * * [simplify]: Extracting #6: cost 0 inf + 62508 19.223 * [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)))) 19.223 * [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)) 19.223 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 19.224 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 19.224 * * [simplify]: iters left: 6 (16 enodes) 19.229 * * [simplify]: iters left: 5 (81 enodes) 19.246 * * [simplify]: iters left: 4 (163 enodes) 19.289 * * [simplify]: iters left: 3 (440 enodes) 19.514 * * [simplify]: Extracting #0: cost 1 inf + 0 19.514 * * [simplify]: Extracting #1: cost 55 inf + 0 19.515 * * [simplify]: Extracting #2: cost 228 inf + 0 19.518 * * [simplify]: Extracting #3: cost 302 inf + 2680 19.534 * * [simplify]: Extracting #4: cost 167 inf + 41150 19.573 * * [simplify]: Extracting #5: cost 62 inf + 98740 19.606 * * [simplify]: Extracting #6: cost 15 inf + 119902 19.638 * * [simplify]: Extracting #7: cost 4 inf + 124934 19.683 * * [simplify]: Extracting #8: cost 0 inf + 125942 19.740 * [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))))) 19.740 * [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)) 19.741 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b))) 19.741 * * [simplify]: iters left: 6 (12 enodes) 19.748 * * [simplify]: iters left: 5 (64 enodes) 19.771 * * [simplify]: iters left: 4 (151 enodes) 19.819 * * [simplify]: iters left: 3 (312 enodes) 19.934 * * [simplify]: Extracting #0: cost 1 inf + 0 19.934 * * [simplify]: Extracting #1: cost 25 inf + 0 19.934 * * [simplify]: Extracting #2: cost 57 inf + 0 19.935 * * [simplify]: Extracting #3: cost 76 inf + 206 19.937 * * [simplify]: Extracting #4: cost 103 inf + 2603 19.945 * * [simplify]: Extracting #5: cost 43 inf + 20280 19.958 * * [simplify]: Extracting #6: cost 11 inf + 26580 19.968 * * [simplify]: Extracting #7: cost 1 inf + 28609 19.975 * * [simplify]: Extracting #8: cost 0 inf + 28861 19.983 * [simplify]: Simplified to (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) 19.983 * [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)) 19.983 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 19.983 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b)))) 19.984 * * [simplify]: iters left: 6 (12 enodes) 19.989 * * [simplify]: iters left: 5 (65 enodes) 20.018 * * [simplify]: iters left: 4 (163 enodes) 20.093 * * [simplify]: iters left: 3 (337 enodes) 20.230 * * [simplify]: Extracting #0: cost 1 inf + 0 20.231 * * [simplify]: Extracting #1: cost 22 inf + 0 20.231 * * [simplify]: Extracting #2: cost 163 inf + 0 20.232 * * [simplify]: Extracting #3: cost 211 inf + 997 20.234 * * [simplify]: Extracting #4: cost 156 inf + 20077 20.241 * * [simplify]: Extracting #5: cost 17 inf + 60977 20.250 * * [simplify]: Extracting #6: cost 2 inf + 60621 20.262 * * [simplify]: Extracting #7: cost 0 inf + 61125 20.276 * [simplify]: Simplified to (* (+ (* a a) (* b b)) (+ (* (* a a) (* (* a a) (* a a))) (* (* (* b b) (* b b)) (* b b)))) 20.277 * [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)) 20.277 * [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)))))) 20.277 * * [simplify]: iters left: 6 (11 enodes) 20.280 * * [simplify]: iters left: 5 (53 enodes) 20.292 * * [simplify]: iters left: 4 (121 enodes) 20.329 * * [simplify]: iters left: 3 (237 enodes) 20.412 * * [simplify]: iters left: 2 (369 enodes) 20.564 * * [simplify]: Extracting #0: cost 1 inf + 0 20.564 * * [simplify]: Extracting #1: cost 21 inf + 0 20.565 * * [simplify]: Extracting #2: cost 148 inf + 0 20.567 * * [simplify]: Extracting #3: cost 199 inf + 2514 20.574 * * [simplify]: Extracting #4: cost 99 inf + 16571 20.587 * * [simplify]: Extracting #5: cost 4 inf + 34452 20.595 * * [simplify]: Extracting #6: cost 0 inf + 35080 20.605 * * [simplify]: Extracting #7: cost 0 inf + 35040 20.612 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 20.612 * [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)) 20.612 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 20.612 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b)))) 20.612 * * [simplify]: iters left: 6 (16 enodes) 20.617 * * [simplify]: iters left: 5 (87 enodes) 20.652 * * [simplify]: iters left: 4 (189 enodes) 20.699 * * [simplify]: iters left: 3 (390 enodes) 20.790 * * [simplify]: Extracting #0: cost 1 inf + 0 20.790 * * [simplify]: Extracting #1: cost 10 inf + 0 20.790 * * [simplify]: Extracting #2: cost 36 inf + 0 20.791 * * [simplify]: Extracting #3: cost 63 inf + 206 20.791 * * [simplify]: Extracting #4: cost 122 inf + 1384 20.794 * * [simplify]: Extracting #5: cost 86 inf + 13558 20.800 * * [simplify]: Extracting #6: cost 55 inf + 24638 20.808 * * [simplify]: Extracting #7: cost 19 inf + 36649 20.817 * * [simplify]: Extracting #8: cost 2 inf + 41966 20.834 * * [simplify]: Extracting #9: cost 0 inf + 42470 20.851 * [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))) 20.851 * [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)) 20.852 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (sqrt (- (* a a) (* b b)))) 20.852 * * [simplify]: iters left: 6 (13 enodes) 20.858 * * [simplify]: iters left: 5 (67 enodes) 20.881 * * [simplify]: iters left: 4 (144 enodes) 20.921 * * [simplify]: iters left: 3 (260 enodes) 20.996 * * [simplify]: iters left: 2 (407 enodes) 21.151 * * [simplify]: Extracting #0: cost 1 inf + 0 21.151 * * [simplify]: Extracting #1: cost 4 inf + 0 21.152 * * [simplify]: Extracting #2: cost 8 inf + 0 21.152 * * [simplify]: Extracting #3: cost 66 inf + 0 21.152 * * [simplify]: Extracting #4: cost 212 inf + 0 21.155 * * [simplify]: Extracting #5: cost 207 inf + 7454 21.166 * * [simplify]: Extracting #6: cost 69 inf + 27997 21.187 * * [simplify]: Extracting #7: cost 3 inf + 41364 21.195 * * [simplify]: Extracting #8: cost 0 inf + 42040 21.203 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))) 21.204 * [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)) 21.204 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 21.204 * [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)))) 21.204 * * [simplify]: iters left: 6 (15 enodes) 21.209 * * [simplify]: iters left: 5 (84 enodes) 21.236 * * [simplify]: iters left: 4 (213 enodes) 21.347 * * [simplify]: Extracting #0: cost 1 inf + 0 21.347 * * [simplify]: Extracting #1: cost 16 inf + 0 21.348 * * [simplify]: Extracting #2: cost 107 inf + 0 21.349 * * [simplify]: Extracting #3: cost 181 inf + 1617 21.354 * * [simplify]: Extracting #4: cost 150 inf + 12579 21.364 * * [simplify]: Extracting #5: cost 62 inf + 43359 21.380 * * [simplify]: Extracting #6: cost 1 inf + 74700 21.396 * * [simplify]: Extracting #7: cost 0 inf + 74952 21.415 * [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)))))) 21.415 * [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)) 21.416 * [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)))))) 21.416 * * [simplify]: iters left: 6 (14 enodes) 21.419 * * [simplify]: iters left: 5 (79 enodes) 21.435 * * [simplify]: iters left: 4 (214 enodes) 21.508 * * [simplify]: Extracting #0: cost 1 inf + 0 21.509 * * [simplify]: Extracting #1: cost 24 inf + 0 21.509 * * [simplify]: Extracting #2: cost 107 inf + 0 21.511 * * [simplify]: Extracting #3: cost 172 inf + 2429 21.515 * * [simplify]: Extracting #4: cost 103 inf + 20185 21.526 * * [simplify]: Extracting #5: cost 10 inf + 49585 21.538 * * [simplify]: Extracting #6: cost 0 inf + 54045 21.550 * [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)))) 21.551 * [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)) 21.551 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 21.551 * [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))))) 21.551 * * [simplify]: iters left: 6 (15 enodes) 21.556 * * [simplify]: iters left: 5 (78 enodes) 21.584 * * [simplify]: iters left: 4 (163 enodes) 21.642 * * [simplify]: iters left: 3 (446 enodes) 21.868 * * [simplify]: Extracting #0: cost 1 inf + 0 21.868 * * [simplify]: Extracting #1: cost 55 inf + 0 21.869 * * [simplify]: Extracting #2: cost 228 inf + 0 21.871 * * [simplify]: Extracting #3: cost 291 inf + 7070 21.885 * * [simplify]: Extracting #4: cost 183 inf + 40579 21.941 * * [simplify]: Extracting #5: cost 54 inf + 110433 21.976 * * [simplify]: Extracting #6: cost 14 inf + 127702 22.017 * * [simplify]: Extracting #7: cost 3 inf + 132403 22.056 * * [simplify]: Extracting #8: cost 0 inf + 132908 22.112 * [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))))) 22.112 * [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)) 22.113 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b)))) 22.113 * * [simplify]: iters left: 6 (14 enodes) 22.120 * * [simplify]: iters left: 5 (73 enodes) 22.147 * * [simplify]: iters left: 4 (176 enodes) 22.222 * * [simplify]: iters left: 3 (420 enodes) 22.382 * * [simplify]: Extracting #0: cost 1 inf + 0 22.382 * * [simplify]: Extracting #1: cost 37 inf + 0 22.382 * * [simplify]: Extracting #2: cost 123 inf + 0 22.383 * * [simplify]: Extracting #3: cost 156 inf + 773 22.384 * * [simplify]: Extracting #4: cost 175 inf + 4626 22.390 * * [simplify]: Extracting #5: cost 106 inf + 24840 22.413 * * [simplify]: Extracting #6: cost 12 inf + 56384 22.429 * * [simplify]: Extracting #7: cost 4 inf + 58059 22.456 * * [simplify]: Extracting #8: cost 0 inf + 58987 22.491 * [simplify]: Simplified to (* (* (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))) 22.491 * [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)) 22.492 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 22.492 * [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)))) 22.492 * * [simplify]: iters left: 6 (14 enodes) 22.501 * * [simplify]: iters left: 5 (81 enodes) 22.537 * * [simplify]: iters left: 4 (207 enodes) 22.663 * * [simplify]: Extracting #0: cost 1 inf + 0 22.663 * * [simplify]: Extracting #1: cost 22 inf + 0 22.664 * * [simplify]: Extracting #2: cost 122 inf + 0 22.666 * * [simplify]: Extracting #3: cost 183 inf + 2148 22.675 * * [simplify]: Extracting #4: cost 91 inf + 26369 22.694 * * [simplify]: Extracting #5: cost 23 inf + 48554 22.715 * * [simplify]: Extracting #6: cost 0 inf + 58978 22.733 * [simplify]: Simplified to (* (+ (* (* b b) (* (* b b) (* b b))) (* (* (* a a) (* a a)) (* a a))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 22.733 * [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)) 22.733 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 22.734 * * [simplify]: iters left: 6 (13 enodes) 22.737 * * [simplify]: iters left: 5 (76 enodes) 22.755 * * [simplify]: iters left: 4 (208 enodes) 22.832 * * [simplify]: Extracting #0: cost 1 inf + 0 22.832 * * [simplify]: Extracting #1: cost 30 inf + 0 22.833 * * [simplify]: Extracting #2: cost 118 inf + 0 22.835 * * [simplify]: Extracting #3: cost 165 inf + 3241 22.846 * * [simplify]: Extracting #4: cost 69 inf + 23001 22.855 * * [simplify]: Extracting #5: cost 0 inf + 37875 22.863 * * [simplify]: Extracting #6: cost 0 inf + 37795 22.871 * [simplify]: Simplified to (* (- (* a a) (* b b)) (- (* (* b b) (* b b)) (* (* a a) (- (* b b) (* a a))))) 22.871 * [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)) 22.871 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 22.871 * [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))))) 22.872 * * [simplify]: iters left: 6 (10 enodes) 22.874 * * [simplify]: iters left: 5 (47 enodes) 22.883 * * [simplify]: iters left: 4 (95 enodes) 22.904 * * [simplify]: iters left: 3 (321 enodes) 23.199 * * [simplify]: Extracting #0: cost 1 inf + 0 23.199 * * [simplify]: Extracting #1: cost 66 inf + 0 23.200 * * [simplify]: Extracting #2: cost 331 inf + 1 23.204 * * [simplify]: Extracting #3: cost 421 inf + 18110 23.229 * * [simplify]: Extracting #4: cost 93 inf + 98899 23.288 * * [simplify]: Extracting #5: cost 2 inf + 126470 23.325 * * [simplify]: Extracting #6: cost 0 inf + 126654 23.385 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 23.385 * [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)) 23.385 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)))) 23.385 * * [simplify]: iters left: 6 (8 enodes) 23.389 * * [simplify]: iters left: 5 (33 enodes) 23.399 * * [simplify]: iters left: 4 (64 enodes) 23.426 * * [simplify]: iters left: 3 (217 enodes) 23.580 * * [simplify]: Extracting #0: cost 1 inf + 0 23.580 * * [simplify]: Extracting #1: cost 47 inf + 0 23.581 * * [simplify]: Extracting #2: cost 181 inf + 1 23.583 * * [simplify]: Extracting #3: cost 208 inf + 2682 23.596 * * [simplify]: Extracting #4: cost 40 inf + 32096 23.615 * * [simplify]: Extracting #5: cost 0 inf + 40291 23.635 * [simplify]: Simplified to (* (- (* a a) (* b b)) (- (* a a) (* b b))) 23.635 * [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)) 23.635 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 23.636 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3)))) 23.636 * * [simplify]: iters left: 6 (16 enodes) 23.645 * * [simplify]: iters left: 5 (87 enodes) 23.687 * * [simplify]: iters left: 4 (213 enodes) 23.756 * * [simplify]: Extracting #0: cost 1 inf + 0 23.756 * * [simplify]: Extracting #1: cost 16 inf + 0 23.756 * * [simplify]: Extracting #2: cost 107 inf + 0 23.757 * * [simplify]: Extracting #3: cost 181 inf + 1417 23.760 * * [simplify]: Extracting #4: cost 139 inf + 14131 23.768 * * [simplify]: Extracting #5: cost 36 inf + 48196 23.790 * * [simplify]: Extracting #6: cost 2 inf + 62446 23.805 * * [simplify]: Extracting #7: cost 0 inf + 62950 23.817 * [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))))) 23.817 * [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)) 23.817 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 23.817 * * [simplify]: iters left: 6 (12 enodes) 23.821 * * [simplify]: iters left: 5 (70 enodes) 23.834 * * [simplify]: iters left: 4 (175 enodes) 23.881 * * [simplify]: iters left: 3 (405 enodes) 24.006 * * [simplify]: Extracting #0: cost 1 inf + 0 24.006 * * [simplify]: Extracting #1: cost 11 inf + 0 24.006 * * [simplify]: Extracting #2: cost 115 inf + 0 24.007 * * [simplify]: Extracting #3: cost 186 inf + 2554 24.012 * * [simplify]: Extracting #4: cost 74 inf + 26948 24.026 * * [simplify]: Extracting #5: cost 2 inf + 42336 24.046 * * [simplify]: Extracting #6: cost 0 inf + 42660 24.059 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))) 24.059 * [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)) 24.060 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 24.060 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b))))) 24.060 * * [simplify]: iters left: 6 (12 enodes) 24.063 * * [simplify]: iters left: 5 (53 enodes) 24.072 * * [simplify]: iters left: 4 (106 enodes) 24.097 * * [simplify]: iters left: 3 (328 enodes) 24.284 * * [simplify]: Extracting #0: cost 1 inf + 0 24.284 * * [simplify]: Extracting #1: cost 59 inf + 0 24.285 * * [simplify]: Extracting #2: cost 237 inf + 0 24.290 * * [simplify]: Extracting #3: cost 289 inf + 9637 24.320 * * [simplify]: Extracting #4: cost 61 inf + 76285 24.346 * * [simplify]: Extracting #5: cost 1 inf + 98070 24.376 * * [simplify]: Extracting #6: cost 0 inf + 98282 24.404 * [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)))) 24.404 * [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)) 24.404 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b))) 24.404 * * [simplify]: iters left: 6 (7 enodes) 24.406 * * [simplify]: iters left: 5 (27 enodes) 24.410 * * [simplify]: iters left: 4 (50 enodes) 24.419 * * [simplify]: iters left: 3 (112 enodes) 24.462 * * [simplify]: iters left: 2 (282 enodes) 24.598 * * [simplify]: Extracting #0: cost 1 inf + 0 24.598 * * [simplify]: Extracting #1: cost 50 inf + 0 24.598 * * [simplify]: Extracting #2: cost 128 inf + 0 24.600 * * [simplify]: Extracting #3: cost 126 inf + 2754 24.607 * * [simplify]: Extracting #4: cost 40 inf + 20840 24.619 * * [simplify]: Extracting #5: cost 0 inf + 30600 24.626 * [simplify]: Simplified to (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))) 24.626 * [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)) 24.626 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 24.627 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b)))) 24.627 * * [simplify]: iters left: 6 (16 enodes) 24.632 * * [simplify]: iters left: 5 (87 enodes) 24.652 * * [simplify]: iters left: 4 (189 enodes) 24.709 * * [simplify]: iters left: 3 (393 enodes) 24.857 * * [simplify]: Extracting #0: cost 1 inf + 0 24.857 * * [simplify]: Extracting #1: cost 10 inf + 0 24.857 * * [simplify]: Extracting #2: cost 36 inf + 0 24.858 * * [simplify]: Extracting #3: cost 63 inf + 206 24.859 * * [simplify]: Extracting #4: cost 116 inf + 2717 24.867 * * [simplify]: Extracting #5: cost 66 inf + 21238 24.881 * * [simplify]: Extracting #6: cost 51 inf + 27256 24.897 * * [simplify]: Extracting #7: cost 23 inf + 35477 24.918 * * [simplify]: Extracting #8: cost 0 inf + 43110 24.927 * [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))))) 24.927 * [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)) 24.928 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) 24.928 * * [simplify]: iters left: 6 (13 enodes) 24.931 * * [simplify]: iters left: 5 (67 enodes) 24.943 * * [simplify]: iters left: 4 (144 enodes) 24.974 * * [simplify]: iters left: 3 (261 enodes) 25.071 * * [simplify]: iters left: 2 (408 enodes) 25.223 * * [simplify]: Extracting #0: cost 1 inf + 0 25.223 * * [simplify]: Extracting #1: cost 4 inf + 0 25.223 * * [simplify]: Extracting #2: cost 8 inf + 0 25.223 * * [simplify]: Extracting #3: cost 66 inf + 0 25.224 * * [simplify]: Extracting #4: cost 217 inf + 0 25.226 * * [simplify]: Extracting #5: cost 223 inf + 5556 25.231 * * [simplify]: Extracting #6: cost 79 inf + 26748 25.239 * * [simplify]: Extracting #7: cost 9 inf + 40440 25.250 * * [simplify]: Extracting #8: cost 0 inf + 43050 25.267 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b)))))) 25.268 * [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)) 25.268 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 25.268 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (* a a) (* b b)))) 25.269 * * [simplify]: iters left: 6 (11 enodes) 25.274 * * [simplify]: iters left: 5 (56 enodes) 25.294 * * [simplify]: iters left: 4 (126 enodes) 25.348 * * [simplify]: iters left: 3 (267 enodes) 25.480 * * [simplify]: Extracting #0: cost 1 inf + 0 25.480 * * [simplify]: Extracting #1: cost 36 inf + 0 25.481 * * [simplify]: Extracting #2: cost 175 inf + 0 25.482 * * [simplify]: Extracting #3: cost 206 inf + 3199 25.487 * * [simplify]: Extracting #4: cost 73 inf + 27488 25.506 * * [simplify]: Extracting #5: cost 12 inf + 41769 25.527 * * [simplify]: Extracting #6: cost 2 inf + 43878 25.546 * * [simplify]: Extracting #7: cost 0 inf + 44302 25.557 * [simplify]: Simplified to (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) 25.557 * [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)) 25.557 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b)))) 25.557 * * [simplify]: iters left: 6 (7 enodes) 25.559 * * [simplify]: iters left: 5 (24 enodes) 25.563 * * [simplify]: iters left: 4 (37 enodes) 25.570 * * [simplify]: iters left: 3 (47 enodes) 25.585 * * [simplify]: iters left: 2 (81 enodes) 25.611 * * [simplify]: iters left: 1 (148 enodes) 25.653 * * [simplify]: Extracting #0: cost 1 inf + 0 25.653 * * [simplify]: Extracting #1: cost 20 inf + 0 25.653 * * [simplify]: Extracting #2: cost 50 inf + 0 25.654 * * [simplify]: Extracting #3: cost 44 inf + 290 25.655 * * [simplify]: Extracting #4: cost 16 inf + 3421 25.660 * * [simplify]: Extracting #5: cost 2 inf + 4689 25.663 * * [simplify]: Extracting #6: cost 0 inf + 5013 25.665 * [simplify]: Simplified to (- (* a a) (* b b)) 25.665 * [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)) 25.666 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 25.666 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 25.666 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (* b b))) 25.666 * * [simplify]: iters left: 6 (8 enodes) 25.668 * * [simplify]: iters left: 5 (31 enodes) 25.673 * * [simplify]: iters left: 4 (42 enodes) 25.680 * * [simplify]: iters left: 3 (56 enodes) 25.689 * * [simplify]: iters left: 2 (82 enodes) 25.707 * * [simplify]: iters left: 1 (112 enodes) 25.731 * * [simplify]: Extracting #0: cost 1 inf + 0 25.731 * * [simplify]: Extracting #1: cost 11 inf + 0 25.731 * * [simplify]: Extracting #2: cost 25 inf + 1 25.731 * * [simplify]: Extracting #3: cost 26 inf + 248 25.732 * * [simplify]: Extracting #4: cost 12 inf + 1753 25.732 * * [simplify]: Extracting #5: cost 2 inf + 2931 25.733 * * [simplify]: Extracting #6: cost 0 inf + 3305 25.734 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 25.734 * [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)) 25.734 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 25.734 * [simplify]: Simplifying (* (sqrt (+ (* a a) (* b b))) (* (* b b) (sqrt (+ (* a a) (* b b))))) 25.734 * * [simplify]: iters left: 6 (8 enodes) 25.736 * * [simplify]: iters left: 5 (29 enodes) 25.740 * * [simplify]: iters left: 4 (39 enodes) 25.746 * * [simplify]: iters left: 3 (45 enodes) 25.754 * * [simplify]: iters left: 2 (62 enodes) 25.773 * * [simplify]: iters left: 1 (96 enodes) 25.800 * * [simplify]: Extracting #0: cost 1 inf + 0 25.800 * * [simplify]: Extracting #1: cost 11 inf + 0 25.800 * * [simplify]: Extracting #2: cost 23 inf + 123 25.801 * * [simplify]: Extracting #3: cost 21 inf + 575 25.802 * * [simplify]: Extracting #4: cost 9 inf + 1918 25.803 * * [simplify]: Extracting #5: cost 0 inf + 3305 25.805 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 25.805 * [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)) 25.805 * * * * [progress]: [ 111 / 143 ] simplifiying candidate # 25.805 * [simplify]: Simplifying (* (* (sqrt (+ (* a a) (* b b))) (* b b)) (sqrt (+ (* a a) (* b b)))) 25.806 * * [simplify]: iters left: 6 (8 enodes) 25.809 * * [simplify]: iters left: 5 (29 enodes) 25.818 * * [simplify]: iters left: 4 (39 enodes) 25.829 * * [simplify]: iters left: 3 (45 enodes) 25.842 * * [simplify]: iters left: 2 (56 enodes) 25.851 * * [simplify]: iters left: 1 (82 enodes) 25.864 * * [simplify]: Extracting #0: cost 1 inf + 0 25.864 * * [simplify]: Extracting #1: cost 11 inf + 0 25.864 * * [simplify]: Extracting #2: cost 22 inf + 123 25.864 * * [simplify]: Extracting #3: cost 23 inf + 368 25.864 * * [simplify]: Extracting #4: cost 13 inf + 1145 25.865 * * [simplify]: Extracting #5: cost 1 inf + 2889 25.866 * * [simplify]: Extracting #6: cost 0 inf + 3091 25.867 * [simplify]: Simplified to (* (* b b) (+ (* a a) (* b b))) 25.867 * [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)) 25.867 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 25.867 * [simplify]: Simplifying (* (* (* b b) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) 25.867 * * [simplify]: iters left: 6 (8 enodes) 25.869 * * [simplify]: iters left: 5 (31 enodes) 25.878 * * [simplify]: iters left: 4 (40 enodes) 25.884 * * [simplify]: iters left: 3 (57 enodes) 25.893 * * [simplify]: iters left: 2 (83 enodes) 25.904 * * [simplify]: iters left: 1 (113 enodes) 25.930 * * [simplify]: Extracting #0: cost 1 inf + 0 25.931 * * [simplify]: Extracting #1: cost 11 inf + 0 25.931 * * [simplify]: Extracting #2: cost 25 inf + 1 25.932 * * [simplify]: Extracting #3: cost 23 inf + 455 25.932 * * [simplify]: Extracting #4: cost 12 inf + 1352 25.934 * * [simplify]: Extracting #5: cost 2 inf + 2891 25.935 * * [simplify]: Extracting #6: cost 0 inf + 3305 25.937 * [simplify]: Simplified to (* (* b b) (+ (* b b) (* a a))) 25.937 * [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)) 25.937 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 25.937 * [simplify]: Simplifying (+ (* a a) (* b b)) 25.937 * * [simplify]: iters left: 4 (5 enodes) 25.940 * * [simplify]: iters left: 3 (16 enodes) 25.944 * * [simplify]: Extracting #0: cost 1 inf + 0 25.944 * * [simplify]: Extracting #1: cost 4 inf + 0 25.944 * * [simplify]: Extracting #2: cost 8 inf + 0 25.944 * * [simplify]: Extracting #3: cost 4 inf + 84 25.944 * * [simplify]: Extracting #4: cost 0 inf + 410 25.944 * [simplify]: Simplified to (+ (* a a) (* b b)) 25.944 * [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)) 25.945 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 25.945 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 25.945 * * [simplify]: iters left: 6 (8 enodes) 25.948 * * [simplify]: iters left: 5 (25 enodes) 25.955 * * [simplify]: Extracting #0: cost 1 inf + 0 25.955 * * [simplify]: Extracting #1: cost 3 inf + 0 25.955 * * [simplify]: Extracting #2: cost 5 inf + 0 25.955 * * [simplify]: Extracting #3: cost 7 inf + 0 25.955 * * [simplify]: Extracting #4: cost 10 inf + 0 25.955 * * [simplify]: Extracting #5: cost 14 inf + 0 25.955 * * [simplify]: Extracting #6: cost 11 inf + 43 25.955 * * [simplify]: Extracting #7: cost 9 inf + 125 25.955 * * [simplify]: Extracting #8: cost 5 inf + 572 25.956 * * [simplify]: Extracting #9: cost 1 inf + 1500 25.956 * * [simplify]: Extracting #10: cost 0 inf + 1782 25.957 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 25.957 * [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)) 25.957 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 25.957 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 25.957 * * [simplify]: iters left: 6 (8 enodes) 25.961 * * [simplify]: iters left: 5 (26 enodes) 25.967 * * [simplify]: Extracting #0: cost 1 inf + 0 25.967 * * [simplify]: Extracting #1: cost 4 inf + 0 25.967 * * [simplify]: Extracting #2: cost 7 inf + 0 25.967 * * [simplify]: Extracting #3: cost 10 inf + 0 25.968 * * [simplify]: Extracting #4: cost 14 inf + 0 25.968 * * [simplify]: Extracting #5: cost 10 inf + 84 25.968 * * [simplify]: Extracting #6: cost 8 inf + 166 25.968 * * [simplify]: Extracting #7: cost 4 inf + 854 25.968 * * [simplify]: Extracting #8: cost 1 inf + 1540 25.969 * * [simplify]: Extracting #9: cost 0 inf + 1782 25.970 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 25.970 * [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)) 25.970 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 25.972 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 25.972 * * [simplify]: iters left: 6 (7 enodes) 25.975 * * [simplify]: iters left: 5 (22 enodes) 25.981 * * [simplify]: Extracting #0: cost 1 inf + 0 25.981 * * [simplify]: Extracting #1: cost 3 inf + 0 25.981 * * [simplify]: Extracting #2: cost 5 inf + 0 25.981 * * [simplify]: Extracting #3: cost 8 inf + 0 25.981 * * [simplify]: Extracting #4: cost 12 inf + 0 25.981 * * [simplify]: Extracting #5: cost 10 inf + 2 25.981 * * [simplify]: Extracting #6: cost 1 inf + 936 25.982 * * [simplify]: Extracting #7: cost 0 inf + 1138 25.982 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 25.982 * [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)) 25.982 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 25.983 * [simplify]: Simplifying (sqrt 1) 25.983 * * [simplify]: iters left: 1 (2 enodes) 25.986 * * [simplify]: Extracting #0: cost 1 inf + 0 25.986 * * [simplify]: Extracting #1: cost 0 inf + 1 25.986 * [simplify]: Simplified to 1 25.986 * [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)) 25.986 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 25.986 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 25.986 * * [simplify]: iters left: 6 (7 enodes) 25.989 * * [simplify]: iters left: 5 (22 enodes) 25.995 * * [simplify]: Extracting #0: cost 1 inf + 0 25.995 * * [simplify]: Extracting #1: cost 3 inf + 0 25.995 * * [simplify]: Extracting #2: cost 5 inf + 0 25.995 * * [simplify]: Extracting #3: cost 8 inf + 0 25.995 * * [simplify]: Extracting #4: cost 12 inf + 0 25.995 * * [simplify]: Extracting #5: cost 10 inf + 2 25.996 * * [simplify]: Extracting #6: cost 1 inf + 936 25.996 * * [simplify]: Extracting #7: cost 0 inf + 1138 25.997 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 25.997 * [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)) 25.997 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 25.997 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 25.997 * [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))))) 25.997 * * [simplify]: iters left: 6 (11 enodes) 26.002 * * [simplify]: iters left: 5 (62 enodes) 26.014 * * [simplify]: iters left: 4 (159 enodes) 26.064 * * [simplify]: iters left: 3 (390 enodes) 26.237 * * [simplify]: Extracting #0: cost 1 inf + 0 26.237 * * [simplify]: Extracting #1: cost 11 inf + 0 26.237 * * [simplify]: Extracting #2: cost 125 inf + 0 26.239 * * [simplify]: Extracting #3: cost 202 inf + 1541 26.252 * * [simplify]: Extracting #4: cost 98 inf + 27657 26.285 * * [simplify]: Extracting #5: cost 4 inf + 60577 26.324 * * [simplify]: Extracting #6: cost 0 inf + 62508 26.346 * [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)))) 26.347 * [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)) 26.347 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 26.347 * [simplify]: Simplifying (* (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- (* a a) (* b b))) 26.347 * * [simplify]: iters left: 6 (12 enodes) 26.350 * * [simplify]: iters left: 5 (64 enodes) 26.362 * * [simplify]: iters left: 4 (151 enodes) 26.410 * * [simplify]: iters left: 3 (312 enodes) 26.519 * * [simplify]: Extracting #0: cost 1 inf + 0 26.519 * * [simplify]: Extracting #1: cost 25 inf + 0 26.519 * * [simplify]: Extracting #2: cost 57 inf + 0 26.520 * * [simplify]: Extracting #3: cost 76 inf + 206 26.521 * * [simplify]: Extracting #4: cost 103 inf + 2603 26.530 * * [simplify]: Extracting #5: cost 43 inf + 20280 26.543 * * [simplify]: Extracting #6: cost 11 inf + 26580 26.558 * * [simplify]: Extracting #7: cost 1 inf + 28609 26.572 * * [simplify]: Extracting #8: cost 0 inf + 28861 26.587 * [simplify]: Simplified to (* (sqrt (+ (* (* b b) (* b b)) (* (- (* a a) (* b b)) (* a a)))) (- (* a a) (* b b))) 26.587 * [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)) 26.587 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 26.588 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 26.588 * * [simplify]: iters left: 6 (12 enodes) 26.594 * * [simplify]: iters left: 5 (70 enodes) 26.621 * * [simplify]: iters left: 4 (175 enodes) 26.669 * * [simplify]: iters left: 3 (405 enodes) 26.820 * * [simplify]: Extracting #0: cost 1 inf + 0 26.820 * * [simplify]: Extracting #1: cost 11 inf + 0 26.820 * * [simplify]: Extracting #2: cost 115 inf + 0 26.822 * * [simplify]: Extracting #3: cost 186 inf + 2554 26.833 * * [simplify]: Extracting #4: cost 74 inf + 26948 26.852 * * [simplify]: Extracting #5: cost 2 inf + 42336 26.872 * * [simplify]: Extracting #6: cost 0 inf + 42660 26.892 * [simplify]: Simplified to (* (sqrt (- (* a a) (* b b))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a))))) 26.892 * [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)) 26.892 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 26.893 * [simplify]: Simplifying (* (sqrt (- (* a a) (* b b))) (- (* a a) (* b b))) 26.893 * * [simplify]: iters left: 6 (7 enodes) 26.896 * * [simplify]: iters left: 5 (27 enodes) 26.904 * * [simplify]: iters left: 4 (50 enodes) 26.921 * * [simplify]: iters left: 3 (112 enodes) 26.954 * * [simplify]: iters left: 2 (282 enodes) 27.065 * * [simplify]: Extracting #0: cost 1 inf + 0 27.065 * * [simplify]: Extracting #1: cost 50 inf + 0 27.066 * * [simplify]: Extracting #2: cost 128 inf + 0 27.066 * * [simplify]: Extracting #3: cost 126 inf + 2754 27.070 * * [simplify]: Extracting #4: cost 40 inf + 20840 27.077 * * [simplify]: Extracting #5: cost 0 inf + 30600 27.084 * [simplify]: Simplified to (* (- (* a a) (* b b)) (sqrt (- (* a a) (* b b)))) 27.084 * [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)) 27.085 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 27.085 * [simplify]: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) 27.085 * * [simplify]: iters left: 6 (9 enodes) 27.090 * * [simplify]: iters left: 5 (49 enodes) 27.107 * * [simplify]: iters left: 4 (116 enodes) 27.137 * * [simplify]: iters left: 3 (231 enodes) 27.187 * * [simplify]: iters left: 2 (363 enodes) 27.316 * * [simplify]: Extracting #0: cost 1 inf + 0 27.316 * * [simplify]: Extracting #1: cost 20 inf + 0 27.316 * * [simplify]: Extracting #2: cost 146 inf + 0 27.317 * * [simplify]: Extracting #3: cost 200 inf + 1989 27.325 * * [simplify]: Extracting #4: cost 63 inf + 22827 27.336 * * [simplify]: Extracting #5: cost 0 inf + 34174 27.343 * * [simplify]: Extracting #6: cost 0 inf + 34134 27.350 * [simplify]: Simplified to (+ (* (- (* a a) (* b b)) (* a a)) (* (* b b) (* b b))) 27.350 * [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)) 27.350 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 27.350 * [simplify]: Simplifying (- (* a a) (* b b)) 27.350 * * [simplify]: iters left: 4 (5 enodes) 27.352 * * [simplify]: iters left: 3 (20 enodes) 27.357 * * [simplify]: iters left: 2 (33 enodes) 27.363 * * [simplify]: iters left: 1 (50 enodes) 27.379 * * [simplify]: Extracting #0: cost 1 inf + 0 27.379 * * [simplify]: Extracting #1: cost 11 inf + 0 27.379 * * [simplify]: Extracting #2: cost 29 inf + 0 27.379 * * [simplify]: Extracting #3: cost 19 inf + 455 27.380 * * [simplify]: Extracting #4: cost 0 inf + 2130 27.381 * * [simplify]: Extracting #5: cost 0 inf + 1970 27.382 * [simplify]: Simplified to (* (+ a b) (- a b)) 27.382 * [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)) 27.383 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 27.383 * [simplify]: Simplifying (sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) 27.383 * * [simplify]: iters left: 6 (10 enodes) 27.388 * * [simplify]: iters left: 5 (52 enodes) 27.399 * * [simplify]: iters left: 4 (119 enodes) 27.423 * * [simplify]: iters left: 3 (234 enodes) 27.496 * * [simplify]: iters left: 2 (366 enodes) 27.618 * * [simplify]: Extracting #0: cost 1 inf + 0 27.618 * * [simplify]: Extracting #1: cost 3 inf + 0 27.618 * * [simplify]: Extracting #2: cost 22 inf + 0 27.619 * * [simplify]: Extracting #3: cost 148 inf + 0 27.621 * * [simplify]: Extracting #4: cost 202 inf + 2230 27.628 * * [simplify]: Extracting #5: cost 83 inf + 22274 27.642 * * [simplify]: Extracting #6: cost 1 inf + 35108 27.654 * * [simplify]: Extracting #7: cost 0 inf + 35040 27.661 * [simplify]: Simplified to (sqrt (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b))))) 27.661 * [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)) 27.661 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 27.662 * [simplify]: Simplifying (sqrt (- (* a a) (* b b))) 27.662 * * [simplify]: iters left: 5 (6 enodes) 27.663 * * [simplify]: iters left: 4 (23 enodes) 27.666 * * [simplify]: iters left: 3 (36 enodes) 27.671 * * [simplify]: iters left: 2 (53 enodes) 27.680 * * [simplify]: iters left: 1 (94 enodes) 27.712 * * [simplify]: Extracting #0: cost 1 inf + 0 27.712 * * [simplify]: Extracting #1: cost 3 inf + 0 27.712 * * [simplify]: Extracting #2: cost 32 inf + 0 27.712 * * [simplify]: Extracting #3: cost 48 inf + 0 27.715 * * [simplify]: Extracting #4: cost 42 inf + 247 27.716 * * [simplify]: Extracting #5: cost 18 inf + 3412 27.718 * * [simplify]: Extracting #6: cost 0 inf + 5728 27.721 * * [simplify]: Extracting #7: cost 0 inf + 5448 27.724 * [simplify]: Simplified to (sqrt (- (* a a) (* b b))) 27.724 * [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)) 27.724 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 27.724 * [simplify]: Simplifying (* (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 27.725 * * [simplify]: iters left: 6 (13 enodes) 27.732 * * [simplify]: iters left: 5 (68 enodes) 27.761 * * [simplify]: iters left: 4 (169 enodes) 27.797 * * [simplify]: iters left: 3 (344 enodes) 27.923 * * [simplify]: Extracting #0: cost 1 inf + 0 27.923 * * [simplify]: Extracting #1: cost 10 inf + 0 27.923 * * [simplify]: Extracting #2: cost 37 inf + 0 27.923 * * [simplify]: Extracting #3: cost 47 inf + 206 27.925 * * [simplify]: Extracting #4: cost 59 inf + 2592 27.928 * * [simplify]: Extracting #5: cost 92 inf + 5457 27.938 * * [simplify]: Extracting #6: cost 58 inf + 17941 27.949 * * [simplify]: Extracting #7: cost 17 inf + 30593 27.961 * * [simplify]: Extracting #8: cost 0 inf + 36343 27.974 * [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)))))) 27.974 * [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)) 27.974 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 27.974 * [simplify]: Simplifying (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 27.975 * * [simplify]: iters left: 6 (12 enodes) 27.981 * * [simplify]: iters left: 5 (59 enodes) 27.992 * * [simplify]: iters left: 4 (132 enodes) 28.022 * * [simplify]: iters left: 3 (264 enodes) 28.123 * * [simplify]: iters left: 2 (473 enodes) 28.329 * * [simplify]: Extracting #0: cost 1 inf + 0 28.329 * * [simplify]: Extracting #1: cost 10 inf + 0 28.329 * * [simplify]: Extracting #2: cost 34 inf + 0 28.330 * * [simplify]: Extracting #3: cost 88 inf + 84 28.331 * * [simplify]: Extracting #4: cost 167 inf + 2192 28.340 * * [simplify]: Extracting #5: cost 119 inf + 21111 28.358 * * [simplify]: Extracting #6: cost 30 inf + 38394 28.370 * * [simplify]: Extracting #7: cost 4 inf + 45180 28.381 * * [simplify]: Extracting #8: cost 0 inf + 46359 28.394 * [simplify]: Simplified to (* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) 28.394 * [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)) 28.394 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) 1))> 28.395 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 28.395 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 28.395 * [simplify]: Simplifying b 28.395 * * [simplify]: iters left: 0 (1 enodes) 28.395 * * [simplify]: Extracting #0: cost 1 inf + 0 28.395 * * [simplify]: Extracting #1: cost 0 inf + 1 28.395 * [simplify]: Simplified to b 28.395 * [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)) 28.395 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 28.395 * [simplify]: Simplifying a 28.395 * * [simplify]: iters left: 0 (1 enodes) 28.396 * * [simplify]: Extracting #0: cost 1 inf + 0 28.396 * * [simplify]: Extracting #1: cost 0 inf + 1 28.396 * [simplify]: Simplified to a 28.396 * [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)) 28.396 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 28.396 * [simplify]: Simplifying (* -1 a) 28.396 * * [simplify]: iters left: 2 (3 enodes) 28.397 * * [simplify]: iters left: 1 (11 enodes) 28.400 * * [simplify]: Extracting #0: cost 1 inf + 0 28.400 * * [simplify]: Extracting #1: cost 4 inf + 0 28.400 * * [simplify]: Extracting #2: cost 0 inf + 84 28.400 * [simplify]: Simplified to (- a) 28.400 * [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)) 28.400 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 28.401 * [simplify]: Simplifying b 28.401 * * [simplify]: iters left: 0 (1 enodes) 28.401 * * [simplify]: Extracting #0: cost 1 inf + 0 28.401 * * [simplify]: Extracting #1: cost 0 inf + 1 28.401 * [simplify]: Simplified to b 28.401 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* b (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 28.401 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 28.402 * [simplify]: Simplifying a 28.402 * * [simplify]: iters left: 0 (1 enodes) 28.402 * * [simplify]: Extracting #0: cost 1 inf + 0 28.402 * * [simplify]: Extracting #1: cost 0 inf + 1 28.402 * [simplify]: Simplified to a 28.402 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* a (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 28.402 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 28.403 * [simplify]: Simplifying (* -1 a) 28.403 * * [simplify]: iters left: 2 (3 enodes) 28.404 * * [simplify]: iters left: 1 (11 enodes) 28.408 * * [simplify]: Extracting #0: cost 1 inf + 0 28.408 * * [simplify]: Extracting #1: cost 4 inf + 0 28.408 * * [simplify]: Extracting #2: cost 0 inf + 84 28.409 * [simplify]: Simplified to (- a) 28.409 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* (- a) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))) 1)) 28.409 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 28.409 * [simplify]: Simplifying (+ (pow b 3) (* 3/2 (* (pow a 2) b))) 28.409 * * [simplify]: iters left: 6 (10 enodes) 28.416 * * [simplify]: iters left: 5 (46 enodes) 28.429 * * [simplify]: iters left: 4 (80 enodes) 28.444 * * [simplify]: iters left: 3 (138 enodes) 28.472 * * [simplify]: iters left: 2 (191 enodes) 28.510 * * [simplify]: iters left: 1 (289 enodes) 28.594 * * [simplify]: Extracting #0: cost 1 inf + 0 28.594 * * [simplify]: Extracting #1: cost 7 inf + 0 28.594 * * [simplify]: Extracting #2: cost 34 inf + 1 28.595 * * [simplify]: Extracting #3: cost 73 inf + 630 28.595 * * [simplify]: Extracting #4: cost 52 inf + 3927 28.597 * * [simplify]: Extracting #5: cost 26 inf + 18117 28.599 * * [simplify]: Extracting #6: cost 4 inf + 29729 28.602 * * [simplify]: Extracting #7: cost 0 inf + 31792 28.604 * [simplify]: Simplified to (* b (+ (* (* 3/2 a) a) (* b b))) 28.604 * [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)) 28.604 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 28.604 * [simplify]: Simplifying (+ (* 3/2 (* a (pow b 2))) (pow a 3)) 28.605 * * [simplify]: iters left: 6 (10 enodes) 28.608 * * [simplify]: iters left: 5 (46 enodes) 28.619 * * [simplify]: iters left: 4 (76 enodes) 28.646 * * [simplify]: iters left: 3 (134 enodes) 28.688 * * [simplify]: iters left: 2 (199 enodes) 28.728 * * [simplify]: iters left: 1 (301 enodes) 28.821 * * [simplify]: Extracting #0: cost 1 inf + 0 28.821 * * [simplify]: Extracting #1: cost 6 inf + 0 28.821 * * [simplify]: Extracting #2: cost 33 inf + 1 28.822 * * [simplify]: Extracting #3: cost 70 inf + 546 28.822 * * [simplify]: Extracting #4: cost 44 inf + 5575 28.824 * * [simplify]: Extracting #5: cost 14 inf + 22037 28.826 * * [simplify]: Extracting #6: cost 0 inf + 29242 28.829 * [simplify]: Simplified to (* (+ (* a a) (* (* b b) 3/2)) a) 28.829 * [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)) 28.829 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 28.829 * [simplify]: Simplifying (- (+ (* 3/2 (* a (pow b 2))) (pow a 3))) 28.829 * * [simplify]: iters left: 6 (11 enodes) 28.837 * * [simplify]: iters left: 5 (52 enodes) 28.856 * * [simplify]: iters left: 4 (108 enodes) 28.897 * * [simplify]: iters left: 3 (225 enodes) 28.981 * * [simplify]: iters left: 2 (391 enodes) 29.082 * * [simplify]: Extracting #0: cost 1 inf + 0 29.082 * * [simplify]: Extracting #1: cost 10 inf + 0 29.082 * * [simplify]: Extracting #2: cost 55 inf + 42 29.083 * * [simplify]: Extracting #3: cost 89 inf + 988 29.086 * * [simplify]: Extracting #4: cost 47 inf + 11070 29.092 * * [simplify]: Extracting #5: cost 18 inf + 20064 29.098 * * [simplify]: Extracting #6: cost 4 inf + 26415 29.107 * * [simplify]: Extracting #7: cost 0 inf + 28136 29.113 * [simplify]: Simplified to (* a (- (* -3/2 (* b b)) (* a a))) 29.113 * [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)) 29.113 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 29.113 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 29.113 * * [simplify]: iters left: 6 (12 enodes) 29.119 * * [simplify]: iters left: 5 (57 enodes) 29.129 * * [simplify]: iters left: 4 (96 enodes) 29.145 * * [simplify]: iters left: 3 (169 enodes) 29.171 * * [simplify]: iters left: 2 (239 enodes) 29.220 * * [simplify]: iters left: 1 (275 enodes) 29.286 * * [simplify]: Extracting #0: cost 1 inf + 0 29.286 * * [simplify]: Extracting #1: cost 8 inf + 0 29.286 * * [simplify]: Extracting #2: cost 40 inf + 0 29.286 * * [simplify]: Extracting #3: cost 53 inf + 168 29.287 * * [simplify]: Extracting #4: cost 28 inf + 3385 29.289 * * [simplify]: Extracting #5: cost 5 inf + 5794 29.291 * * [simplify]: Extracting #6: cost 0 inf + 6849 29.292 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 29.292 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b)))) 1)) 29.293 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 29.293 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 29.293 * * [simplify]: iters left: 6 (12 enodes) 29.297 * * [simplify]: iters left: 5 (57 enodes) 29.312 * * [simplify]: iters left: 4 (96 enodes) 29.344 * * [simplify]: iters left: 3 (169 enodes) 29.397 * * [simplify]: iters left: 2 (236 enodes) 29.440 * * [simplify]: iters left: 1 (270 enodes) 29.516 * * [simplify]: Extracting #0: cost 1 inf + 0 29.516 * * [simplify]: Extracting #1: cost 8 inf + 0 29.516 * * [simplify]: Extracting #2: cost 39 inf + 0 29.516 * * [simplify]: Extracting #3: cost 54 inf + 4 29.517 * * [simplify]: Extracting #4: cost 40 inf + 2137 29.520 * * [simplify]: Extracting #5: cost 4 inf + 6453 29.524 * * [simplify]: Extracting #6: cost 0 inf + 6723 29.528 * * [simplify]: Extracting #7: cost 0 inf + 6603 29.532 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 29.532 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 29.532 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 29.532 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 29.532 * * [simplify]: iters left: 6 (12 enodes) 29.540 * * [simplify]: iters left: 5 (57 enodes) 29.559 * * [simplify]: iters left: 4 (96 enodes) 29.590 * * [simplify]: iters left: 3 (169 enodes) 29.631 * * [simplify]: iters left: 2 (236 enodes) 29.680 * * [simplify]: iters left: 1 (270 enodes) 29.718 * * [simplify]: Extracting #0: cost 1 inf + 0 29.718 * * [simplify]: Extracting #1: cost 8 inf + 0 29.719 * * [simplify]: Extracting #2: cost 39 inf + 0 29.719 * * [simplify]: Extracting #3: cost 54 inf + 4 29.719 * * [simplify]: Extracting #4: cost 40 inf + 2137 29.721 * * [simplify]: Extracting #5: cost 4 inf + 6453 29.723 * * [simplify]: Extracting #6: cost 0 inf + 6723 29.725 * * [simplify]: Extracting #7: cost 0 inf + 6603 29.728 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 29.728 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 29.728 * * * [progress]: adding candidates to table 31.555 * * [progress]: iteration 3 / 4 31.555 * * * [progress]: picking best candidate 31.561 * * * * [pick]: Picked # 31.561 * * * [progress]: localizing error 31.612 * * * [progress]: generating rewritten candidates 31.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 31.624 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 31.639 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 31.667 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 31.700 * * * [progress]: generating series expansions 31.700 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 31.700 * [backup-simplify]: Simplify (sqrt (+ (* a a) (* b b))) into (sqrt (+ (pow a 2) (pow b 2))) 31.700 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in (a b) around 0 31.700 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 31.700 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 31.700 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.700 * [taylor]: Taking taylor expansion of a in b 31.700 * [backup-simplify]: Simplify a into a 31.700 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.700 * [taylor]: Taking taylor expansion of b in b 31.700 * [backup-simplify]: Simplify 0 into 0 31.700 * [backup-simplify]: Simplify 1 into 1 31.701 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.701 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 31.701 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 31.701 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 31.702 * [backup-simplify]: Simplify (+ 0 0) into 0 31.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 31.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 31.702 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 31.702 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.702 * [taylor]: Taking taylor expansion of a in a 31.702 * [backup-simplify]: Simplify 0 into 0 31.702 * [backup-simplify]: Simplify 1 into 1 31.702 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.702 * [taylor]: Taking taylor expansion of b in a 31.702 * [backup-simplify]: Simplify b into b 31.702 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.702 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 31.702 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 31.703 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.703 * [backup-simplify]: Simplify (+ 0 0) into 0 31.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 31.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 31.703 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 31.703 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.703 * [taylor]: Taking taylor expansion of a in a 31.703 * [backup-simplify]: Simplify 0 into 0 31.704 * [backup-simplify]: Simplify 1 into 1 31.704 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.704 * [taylor]: Taking taylor expansion of b in a 31.704 * [backup-simplify]: Simplify b into b 31.704 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.704 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 31.704 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 31.704 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.704 * [backup-simplify]: Simplify (+ 0 0) into 0 31.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 31.705 * [taylor]: Taking taylor expansion of b in b 31.705 * [backup-simplify]: Simplify 0 into 0 31.705 * [backup-simplify]: Simplify 1 into 1 31.705 * [backup-simplify]: Simplify 0 into 0 31.705 * [taylor]: Taking taylor expansion of 0 in b 31.705 * [backup-simplify]: Simplify 0 into 0 31.705 * [backup-simplify]: Simplify 0 into 0 31.705 * [backup-simplify]: Simplify 1 into 1 31.705 * [backup-simplify]: Simplify (* 1 1) into 1 31.706 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 31.709 * [backup-simplify]: Simplify (+ 1 0) into 1 31.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 31.710 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 31.710 * [taylor]: Taking taylor expansion of 1/2 in b 31.710 * [backup-simplify]: Simplify 1/2 into 1/2 31.710 * [taylor]: Taking taylor expansion of b in b 31.710 * [backup-simplify]: Simplify 0 into 0 31.710 * [backup-simplify]: Simplify 1 into 1 31.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 31.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 31.711 * [backup-simplify]: Simplify 0 into 0 31.712 * [backup-simplify]: Simplify 0 into 0 31.712 * [backup-simplify]: Simplify 0 into 0 31.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.713 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 31.713 * [backup-simplify]: Simplify (+ 0 0) into 0 31.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 31.714 * [taylor]: Taking taylor expansion of 0 in b 31.714 * [backup-simplify]: Simplify 0 into 0 31.714 * [backup-simplify]: Simplify 0 into 0 31.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.715 * [backup-simplify]: Simplify 0 into 0 31.715 * [backup-simplify]: Simplify 0 into 0 31.715 * [backup-simplify]: Simplify (* 1 (* b 1)) into b 31.715 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 31.715 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 31.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 31.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.715 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.715 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.715 * [taylor]: Taking taylor expansion of a in b 31.715 * [backup-simplify]: Simplify a into a 31.715 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.715 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.716 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.716 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.716 * [taylor]: Taking taylor expansion of b in b 31.716 * [backup-simplify]: Simplify 0 into 0 31.716 * [backup-simplify]: Simplify 1 into 1 31.716 * [backup-simplify]: Simplify (* 1 1) into 1 31.716 * [backup-simplify]: Simplify (/ 1 1) into 1 31.717 * [backup-simplify]: Simplify (+ 0 1) into 1 31.717 * [backup-simplify]: Simplify (sqrt 1) into 1 31.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.719 * [backup-simplify]: Simplify (+ 0 0) into 0 31.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.720 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.720 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.720 * [taylor]: Taking taylor expansion of a in a 31.720 * [backup-simplify]: Simplify 0 into 0 31.720 * [backup-simplify]: Simplify 1 into 1 31.720 * [backup-simplify]: Simplify (* 1 1) into 1 31.721 * [backup-simplify]: Simplify (/ 1 1) into 1 31.721 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.721 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.721 * [taylor]: Taking taylor expansion of b in a 31.721 * [backup-simplify]: Simplify b into b 31.721 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.721 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.721 * [backup-simplify]: Simplify (+ 1 0) into 1 31.722 * [backup-simplify]: Simplify (sqrt 1) into 1 31.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.723 * [backup-simplify]: Simplify (+ 0 0) into 0 31.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.724 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.724 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.724 * [taylor]: Taking taylor expansion of a in a 31.724 * [backup-simplify]: Simplify 0 into 0 31.724 * [backup-simplify]: Simplify 1 into 1 31.725 * [backup-simplify]: Simplify (* 1 1) into 1 31.725 * [backup-simplify]: Simplify (/ 1 1) into 1 31.725 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.725 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.725 * [taylor]: Taking taylor expansion of b in a 31.725 * [backup-simplify]: Simplify b into b 31.725 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.725 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.726 * [backup-simplify]: Simplify (+ 1 0) into 1 31.726 * [backup-simplify]: Simplify (sqrt 1) into 1 31.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.728 * [backup-simplify]: Simplify (+ 0 0) into 0 31.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.729 * [taylor]: Taking taylor expansion of 1 in b 31.729 * [backup-simplify]: Simplify 1 into 1 31.729 * [taylor]: Taking taylor expansion of 0 in b 31.729 * [backup-simplify]: Simplify 0 into 0 31.729 * [backup-simplify]: Simplify 1 into 1 31.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.731 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 31.732 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 31.732 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 31.733 * [taylor]: Taking taylor expansion of 1/2 in b 31.733 * [backup-simplify]: Simplify 1/2 into 1/2 31.733 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.733 * [taylor]: Taking taylor expansion of b in b 31.733 * [backup-simplify]: Simplify 0 into 0 31.733 * [backup-simplify]: Simplify 1 into 1 31.733 * [backup-simplify]: Simplify (* 1 1) into 1 31.733 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 31.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 31.734 * [backup-simplify]: Simplify 0 into 0 31.734 * [backup-simplify]: Simplify 0 into 0 31.734 * [backup-simplify]: Simplify 0 into 0 31.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.736 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 31.736 * [backup-simplify]: Simplify (+ 0 0) into 0 31.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 31.736 * [taylor]: Taking taylor expansion of 0 in b 31.736 * [backup-simplify]: Simplify 0 into 0 31.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.738 * [backup-simplify]: Simplify 0 into 0 31.738 * [backup-simplify]: Simplify 0 into 0 31.738 * [backup-simplify]: Simplify 0 into 0 31.738 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a)))) into a 31.738 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) into (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 31.738 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in (a b) around 0 31.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 31.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.738 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.738 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.738 * [taylor]: Taking taylor expansion of a in b 31.738 * [backup-simplify]: Simplify a into a 31.738 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.738 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.738 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.738 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.738 * [taylor]: Taking taylor expansion of b in b 31.738 * [backup-simplify]: Simplify 0 into 0 31.738 * [backup-simplify]: Simplify 1 into 1 31.739 * [backup-simplify]: Simplify (* 1 1) into 1 31.739 * [backup-simplify]: Simplify (/ 1 1) into 1 31.739 * [backup-simplify]: Simplify (+ 0 1) into 1 31.739 * [backup-simplify]: Simplify (sqrt 1) into 1 31.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.740 * [backup-simplify]: Simplify (+ 0 0) into 0 31.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.741 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.741 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.741 * [taylor]: Taking taylor expansion of a in a 31.741 * [backup-simplify]: Simplify 0 into 0 31.741 * [backup-simplify]: Simplify 1 into 1 31.741 * [backup-simplify]: Simplify (* 1 1) into 1 31.742 * [backup-simplify]: Simplify (/ 1 1) into 1 31.742 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.742 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.742 * [taylor]: Taking taylor expansion of b in a 31.742 * [backup-simplify]: Simplify b into b 31.742 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.742 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.742 * [backup-simplify]: Simplify (+ 1 0) into 1 31.742 * [backup-simplify]: Simplify (sqrt 1) into 1 31.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.743 * [backup-simplify]: Simplify (+ 0 0) into 0 31.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.744 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.744 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.744 * [taylor]: Taking taylor expansion of a in a 31.744 * [backup-simplify]: Simplify 0 into 0 31.744 * [backup-simplify]: Simplify 1 into 1 31.744 * [backup-simplify]: Simplify (* 1 1) into 1 31.744 * [backup-simplify]: Simplify (/ 1 1) into 1 31.744 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.744 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.744 * [taylor]: Taking taylor expansion of b in a 31.744 * [backup-simplify]: Simplify b into b 31.744 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.744 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.745 * [backup-simplify]: Simplify (+ 1 0) into 1 31.745 * [backup-simplify]: Simplify (sqrt 1) into 1 31.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.746 * [backup-simplify]: Simplify (+ 0 0) into 0 31.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.747 * [taylor]: Taking taylor expansion of 1 in b 31.747 * [backup-simplify]: Simplify 1 into 1 31.747 * [taylor]: Taking taylor expansion of 0 in b 31.747 * [backup-simplify]: Simplify 0 into 0 31.747 * [backup-simplify]: Simplify 1 into 1 31.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.748 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 31.749 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 31.749 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 31.749 * [taylor]: Taking taylor expansion of 1/2 in b 31.749 * [backup-simplify]: Simplify 1/2 into 1/2 31.749 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.749 * [taylor]: Taking taylor expansion of b in b 31.749 * [backup-simplify]: Simplify 0 into 0 31.749 * [backup-simplify]: Simplify 1 into 1 31.749 * [backup-simplify]: Simplify (* 1 1) into 1 31.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 31.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 31.750 * [backup-simplify]: Simplify 0 into 0 31.751 * [backup-simplify]: Simplify 0 into 0 31.751 * [backup-simplify]: Simplify 0 into 0 31.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.752 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 31.752 * [backup-simplify]: Simplify (+ 0 0) into 0 31.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 31.753 * [taylor]: Taking taylor expansion of 0 in b 31.753 * [backup-simplify]: Simplify 0 into 0 31.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.754 * [backup-simplify]: Simplify 0 into 0 31.754 * [backup-simplify]: Simplify 0 into 0 31.754 * [backup-simplify]: Simplify 0 into 0 31.754 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a))))) into (* -1 a) 31.754 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 31.754 * [backup-simplify]: Simplify (pow (sqrt (+ (* a a) (* b b))) 4) into (pow (sqrt (+ (pow a 2) (pow b 2))) 4) 31.754 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in (a b) around 0 31.754 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in b 31.754 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in b 31.754 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 31.754 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.754 * [taylor]: Taking taylor expansion of a in b 31.754 * [backup-simplify]: Simplify a into a 31.754 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.754 * [taylor]: Taking taylor expansion of b in b 31.754 * [backup-simplify]: Simplify 0 into 0 31.754 * [backup-simplify]: Simplify 1 into 1 31.754 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.754 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 31.754 * [backup-simplify]: Simplify (sqrt (pow a 2)) into a 31.754 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 31.755 * [backup-simplify]: Simplify (+ 0 0) into 0 31.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a 2)))) into 0 31.755 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in a 31.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 31.755 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 31.755 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.755 * [taylor]: Taking taylor expansion of a in a 31.755 * [backup-simplify]: Simplify 0 into 0 31.755 * [backup-simplify]: Simplify 1 into 1 31.755 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.755 * [taylor]: Taking taylor expansion of b in a 31.755 * [backup-simplify]: Simplify b into b 31.755 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.755 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 31.755 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 31.755 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.755 * [backup-simplify]: Simplify (+ 0 0) into 0 31.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 31.755 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow a 2) (pow b 2))) 4) in a 31.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a 2) (pow b 2))) in a 31.755 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 31.755 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.755 * [taylor]: Taking taylor expansion of a in a 31.755 * [backup-simplify]: Simplify 0 into 0 31.755 * [backup-simplify]: Simplify 1 into 1 31.755 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.755 * [taylor]: Taking taylor expansion of b in a 31.756 * [backup-simplify]: Simplify b into b 31.756 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.756 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 31.756 * [backup-simplify]: Simplify (sqrt (pow b 2)) into b 31.756 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.756 * [backup-simplify]: Simplify (+ 0 0) into 0 31.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow b 2)))) into 0 31.756 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.756 * [backup-simplify]: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) 31.756 * [taylor]: Taking taylor expansion of (pow b 4) in b 31.756 * [taylor]: Taking taylor expansion of b in b 31.756 * [backup-simplify]: Simplify 0 into 0 31.756 * [backup-simplify]: Simplify 1 into 1 31.756 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.756 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 31.756 * [taylor]: Taking taylor expansion of 0 in b 31.756 * [backup-simplify]: Simplify 0 into 0 31.756 * [backup-simplify]: Simplify 0 into 0 31.757 * [backup-simplify]: Simplify (* 1 1) into 1 31.757 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 31.757 * [backup-simplify]: Simplify (+ 1 0) into 1 31.758 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 b)) into (/ 1/2 b) 31.758 * [backup-simplify]: Simplify (+ (* b (/ 1/2 b)) (+ (* 0 0) (* (/ 1/2 b) b))) into 1 31.758 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) 31.758 * [taylor]: Taking taylor expansion of (* 2 (pow b 2)) in b 31.758 * [taylor]: Taking taylor expansion of 2 in b 31.758 * [backup-simplify]: Simplify 2 into 2 31.758 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.758 * [taylor]: Taking taylor expansion of b in b 31.758 * [backup-simplify]: Simplify 0 into 0 31.758 * [backup-simplify]: Simplify 1 into 1 31.758 * [backup-simplify]: Simplify 0 into 0 31.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.759 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 31.760 * [backup-simplify]: Simplify (+ 0 0) into 0 31.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 b))))) (* 2 b)) into 0 31.760 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (/ 1/2 b)) (+ (* (/ 1/2 b) 0) (* 0 b)))) into 0 31.760 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 31.760 * [taylor]: Taking taylor expansion of 0 in b 31.760 * [backup-simplify]: Simplify 0 into 0 31.760 * [backup-simplify]: Simplify 0 into 0 31.760 * [backup-simplify]: Simplify 0 into 0 31.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.762 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 31.762 * [backup-simplify]: Simplify (+ 0 0) into 0 31.763 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 b) 2) (+ (* 2 (* 0 0)))) (* 2 b)) into (/ -1/8 (pow b 3)) 31.764 * [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 31.765 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 31.765 * [taylor]: Taking taylor expansion of 1 in b 31.766 * [backup-simplify]: Simplify 1 into 1 31.766 * [backup-simplify]: Simplify 1 into 1 31.766 * [backup-simplify]: Simplify 0 into 0 31.766 * [backup-simplify]: Simplify (* 1 1) into 1 31.766 * [backup-simplify]: Simplify (* 2 1) into 2 31.766 * [backup-simplify]: Simplify 2 into 2 31.766 * [backup-simplify]: Simplify 0 into 0 31.767 * [backup-simplify]: Simplify (* 1 1) into 1 31.767 * [backup-simplify]: Simplify (* 1 1) into 1 31.767 * [backup-simplify]: Simplify 1 into 1 31.768 * [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))) 31.768 * [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) 31.768 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in (a b) around 0 31.768 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in b 31.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 31.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.768 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.768 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.768 * [taylor]: Taking taylor expansion of a in b 31.768 * [backup-simplify]: Simplify a into a 31.768 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.768 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.768 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.768 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.768 * [taylor]: Taking taylor expansion of b in b 31.768 * [backup-simplify]: Simplify 0 into 0 31.768 * [backup-simplify]: Simplify 1 into 1 31.769 * [backup-simplify]: Simplify (* 1 1) into 1 31.769 * [backup-simplify]: Simplify (/ 1 1) into 1 31.770 * [backup-simplify]: Simplify (+ 0 1) into 1 31.770 * [backup-simplify]: Simplify (sqrt 1) into 1 31.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.772 * [backup-simplify]: Simplify (+ 0 0) into 0 31.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.773 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 31.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.773 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.773 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.773 * [taylor]: Taking taylor expansion of a in a 31.773 * [backup-simplify]: Simplify 0 into 0 31.773 * [backup-simplify]: Simplify 1 into 1 31.773 * [backup-simplify]: Simplify (* 1 1) into 1 31.774 * [backup-simplify]: Simplify (/ 1 1) into 1 31.774 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.774 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.774 * [taylor]: Taking taylor expansion of b in a 31.774 * [backup-simplify]: Simplify b into b 31.774 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.774 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.774 * [backup-simplify]: Simplify (+ 1 0) into 1 31.775 * [backup-simplify]: Simplify (sqrt 1) into 1 31.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.777 * [backup-simplify]: Simplify (+ 0 0) into 0 31.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.777 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 31.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.777 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.777 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.777 * [taylor]: Taking taylor expansion of a in a 31.777 * [backup-simplify]: Simplify 0 into 0 31.777 * [backup-simplify]: Simplify 1 into 1 31.778 * [backup-simplify]: Simplify (* 1 1) into 1 31.778 * [backup-simplify]: Simplify (/ 1 1) into 1 31.778 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.778 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.778 * [taylor]: Taking taylor expansion of b in a 31.778 * [backup-simplify]: Simplify b into b 31.778 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.778 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.778 * [backup-simplify]: Simplify (+ 1 0) into 1 31.779 * [backup-simplify]: Simplify (sqrt 1) into 1 31.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.780 * [backup-simplify]: Simplify (+ 0 0) into 0 31.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.780 * [backup-simplify]: Simplify (* 1 1) into 1 31.781 * [backup-simplify]: Simplify (* 1 1) into 1 31.781 * [taylor]: Taking taylor expansion of 1 in b 31.781 * [backup-simplify]: Simplify 1 into 1 31.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.781 * [taylor]: Taking taylor expansion of 0 in b 31.781 * [backup-simplify]: Simplify 0 into 0 31.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.783 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 31.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 31.784 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow b 2))) (+ (* 0 0) (* (/ 1/2 (pow b 2)) 1))) into (/ 1 (pow b 2)) 31.784 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 31.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 31.784 * [taylor]: Taking taylor expansion of 2 in b 31.784 * [backup-simplify]: Simplify 2 into 2 31.784 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.784 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.784 * [taylor]: Taking taylor expansion of b in b 31.784 * [backup-simplify]: Simplify 0 into 0 31.784 * [backup-simplify]: Simplify 1 into 1 31.785 * [backup-simplify]: Simplify (* 1 1) into 1 31.785 * [backup-simplify]: Simplify (/ 1 1) into 1 31.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.786 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 31.786 * [backup-simplify]: Simplify (+ 0 0) into 0 31.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 31.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow b 2))) (+ (* (/ 1/2 (pow b 2)) 0) (* 0 1)))) into 0 31.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 31.788 * [taylor]: Taking taylor expansion of 0 in b 31.788 * [backup-simplify]: Simplify 0 into 0 31.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.790 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 31.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 31.790 * [backup-simplify]: Simplify (+ 0 0) into 0 31.791 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow b 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow b 4)) 31.791 * [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 31.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 31.792 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 31.792 * [taylor]: Taking taylor expansion of (pow b 4) in b 31.792 * [taylor]: Taking taylor expansion of b in b 31.792 * [backup-simplify]: Simplify 0 into 0 31.793 * [backup-simplify]: Simplify 1 into 1 31.793 * [backup-simplify]: Simplify (* 1 1) into 1 31.793 * [backup-simplify]: Simplify (* 1 1) into 1 31.793 * [backup-simplify]: Simplify (/ 1 1) into 1 31.793 * [backup-simplify]: Simplify 1 into 1 31.794 * [backup-simplify]: Simplify (* 2 1) into 2 31.794 * [backup-simplify]: Simplify 2 into 2 31.794 * [backup-simplify]: Simplify 1 into 1 31.794 * [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))))) 31.794 * [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) 31.794 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in (a b) around 0 31.794 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in b 31.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in b 31.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.794 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.794 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.794 * [taylor]: Taking taylor expansion of a in b 31.794 * [backup-simplify]: Simplify a into a 31.794 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.794 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.794 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.794 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.794 * [taylor]: Taking taylor expansion of b in b 31.794 * [backup-simplify]: Simplify 0 into 0 31.794 * [backup-simplify]: Simplify 1 into 1 31.795 * [backup-simplify]: Simplify (* 1 1) into 1 31.795 * [backup-simplify]: Simplify (/ 1 1) into 1 31.795 * [backup-simplify]: Simplify (+ 0 1) into 1 31.795 * [backup-simplify]: Simplify (sqrt 1) into 1 31.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.796 * [backup-simplify]: Simplify (+ 0 0) into 0 31.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.797 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 31.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.797 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.797 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.797 * [taylor]: Taking taylor expansion of a in a 31.797 * [backup-simplify]: Simplify 0 into 0 31.797 * [backup-simplify]: Simplify 1 into 1 31.797 * [backup-simplify]: Simplify (* 1 1) into 1 31.798 * [backup-simplify]: Simplify (/ 1 1) into 1 31.798 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.798 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.798 * [taylor]: Taking taylor expansion of b in a 31.798 * [backup-simplify]: Simplify b into b 31.798 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.798 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.798 * [backup-simplify]: Simplify (+ 1 0) into 1 31.798 * [backup-simplify]: Simplify (sqrt 1) into 1 31.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.799 * [backup-simplify]: Simplify (+ 0 0) into 0 31.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.800 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) 4) in a 31.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))) in a 31.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.800 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.800 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.800 * [taylor]: Taking taylor expansion of a in a 31.800 * [backup-simplify]: Simplify 0 into 0 31.800 * [backup-simplify]: Simplify 1 into 1 31.800 * [backup-simplify]: Simplify (* 1 1) into 1 31.800 * [backup-simplify]: Simplify (/ 1 1) into 1 31.800 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.800 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.800 * [taylor]: Taking taylor expansion of b in a 31.800 * [backup-simplify]: Simplify b into b 31.800 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.801 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.801 * [backup-simplify]: Simplify (+ 1 0) into 1 31.801 * [backup-simplify]: Simplify (sqrt 1) into 1 31.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.802 * [backup-simplify]: Simplify (+ 0 0) into 0 31.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.803 * [backup-simplify]: Simplify (* 1 1) into 1 31.803 * [backup-simplify]: Simplify (* 1 1) into 1 31.803 * [taylor]: Taking taylor expansion of 1 in b 31.803 * [backup-simplify]: Simplify 1 into 1 31.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.804 * [taylor]: Taking taylor expansion of 0 in b 31.804 * [backup-simplify]: Simplify 0 into 0 31.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.805 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) 31.807 * [backup-simplify]: Simplify (/ (- (/ 1 (pow b 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow b 2)) 31.807 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow b 2))) (+ (* 0 0) (* (/ 1/2 (pow b 2)) 1))) into (/ 1 (pow b 2)) 31.808 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) 31.808 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 31.808 * [taylor]: Taking taylor expansion of 2 in b 31.808 * [backup-simplify]: Simplify 2 into 2 31.808 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.808 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.808 * [taylor]: Taking taylor expansion of b in b 31.808 * [backup-simplify]: Simplify 0 into 0 31.808 * [backup-simplify]: Simplify 1 into 1 31.808 * [backup-simplify]: Simplify (* 1 1) into 1 31.809 * [backup-simplify]: Simplify (/ 1 1) into 1 31.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.811 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 31.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 31.812 * [backup-simplify]: Simplify (+ 0 0) into 0 31.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow b 2)))))) (* 2 1)) into 0 31.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow b 2))) (+ (* (/ 1/2 (pow b 2)) 0) (* 0 1)))) into 0 31.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 31.814 * [taylor]: Taking taylor expansion of 0 in b 31.814 * [backup-simplify]: Simplify 0 into 0 31.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.822 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 31.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 31.823 * [backup-simplify]: Simplify (+ 0 0) into 0 31.823 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow b 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow b 4)) 31.824 * [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 31.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) 31.825 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 31.825 * [taylor]: Taking taylor expansion of (pow b 4) in b 31.825 * [taylor]: Taking taylor expansion of b in b 31.825 * [backup-simplify]: Simplify 0 into 0 31.825 * [backup-simplify]: Simplify 1 into 1 31.826 * [backup-simplify]: Simplify (* 1 1) into 1 31.826 * [backup-simplify]: Simplify (* 1 1) into 1 31.826 * [backup-simplify]: Simplify (/ 1 1) into 1 31.826 * [backup-simplify]: Simplify 1 into 1 31.827 * [backup-simplify]: Simplify (* 2 1) into 2 31.827 * [backup-simplify]: Simplify 2 into 2 31.827 * [backup-simplify]: Simplify 1 into 1 31.827 * [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))))) 31.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 31.827 * [backup-simplify]: Simplify (* (* b b) 4) into (* 4 (pow b 2)) 31.827 * [approximate]: Taking taylor expansion of (* 4 (pow b 2)) in (b) around 0 31.827 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 31.827 * [taylor]: Taking taylor expansion of 4 in b 31.827 * [backup-simplify]: Simplify 4 into 4 31.827 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.827 * [taylor]: Taking taylor expansion of b in b 31.827 * [backup-simplify]: Simplify 0 into 0 31.827 * [backup-simplify]: Simplify 1 into 1 31.827 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 31.827 * [taylor]: Taking taylor expansion of 4 in b 31.827 * [backup-simplify]: Simplify 4 into 4 31.827 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.827 * [taylor]: Taking taylor expansion of b in b 31.827 * [backup-simplify]: Simplify 0 into 0 31.827 * [backup-simplify]: Simplify 1 into 1 31.828 * [backup-simplify]: Simplify (* 1 1) into 1 31.828 * [backup-simplify]: Simplify (* 4 1) into 4 31.828 * [backup-simplify]: Simplify 4 into 4 31.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.829 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 31.829 * [backup-simplify]: Simplify 0 into 0 31.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.830 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 31.830 * [backup-simplify]: Simplify 0 into 0 31.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.831 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.831 * [backup-simplify]: Simplify 0 into 0 31.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.833 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.833 * [backup-simplify]: Simplify 0 into 0 31.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 31.834 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 31.834 * [backup-simplify]: Simplify 0 into 0 31.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 31.836 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 31.836 * [backup-simplify]: Simplify 0 into 0 31.836 * [backup-simplify]: Simplify (* 4 (pow b 2)) into (* 4 (pow b 2)) 31.836 * [backup-simplify]: Simplify (* (* (/ 1 b) (/ 1 b)) 4) into (/ 4 (pow b 2)) 31.836 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 31.836 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 31.836 * [taylor]: Taking taylor expansion of 4 in b 31.836 * [backup-simplify]: Simplify 4 into 4 31.836 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.836 * [taylor]: Taking taylor expansion of b in b 31.836 * [backup-simplify]: Simplify 0 into 0 31.836 * [backup-simplify]: Simplify 1 into 1 31.837 * [backup-simplify]: Simplify (* 1 1) into 1 31.837 * [backup-simplify]: Simplify (/ 4 1) into 4 31.837 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 31.837 * [taylor]: Taking taylor expansion of 4 in b 31.837 * [backup-simplify]: Simplify 4 into 4 31.837 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.837 * [taylor]: Taking taylor expansion of b in b 31.837 * [backup-simplify]: Simplify 0 into 0 31.837 * [backup-simplify]: Simplify 1 into 1 31.837 * [backup-simplify]: Simplify (* 1 1) into 1 31.838 * [backup-simplify]: Simplify (/ 4 1) into 4 31.838 * [backup-simplify]: Simplify 4 into 4 31.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 31.839 * [backup-simplify]: Simplify 0 into 0 31.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.840 * [backup-simplify]: Simplify 0 into 0 31.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.841 * [backup-simplify]: Simplify 0 into 0 31.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.843 * [backup-simplify]: Simplify 0 into 0 31.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 31.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.844 * [backup-simplify]: Simplify 0 into 0 31.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 31.845 * [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 31.845 * [backup-simplify]: Simplify 0 into 0 31.846 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 b)) 2)) into (* 4 (pow b 2)) 31.846 * [backup-simplify]: Simplify (* (* (/ 1 (- b)) (/ 1 (- b))) 4) into (/ 4 (pow b 2)) 31.846 * [approximate]: Taking taylor expansion of (/ 4 (pow b 2)) in (b) around 0 31.846 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 31.846 * [taylor]: Taking taylor expansion of 4 in b 31.846 * [backup-simplify]: Simplify 4 into 4 31.846 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.846 * [taylor]: Taking taylor expansion of b in b 31.846 * [backup-simplify]: Simplify 0 into 0 31.846 * [backup-simplify]: Simplify 1 into 1 31.846 * [backup-simplify]: Simplify (* 1 1) into 1 31.846 * [backup-simplify]: Simplify (/ 4 1) into 4 31.846 * [taylor]: Taking taylor expansion of (/ 4 (pow b 2)) in b 31.846 * [taylor]: Taking taylor expansion of 4 in b 31.846 * [backup-simplify]: Simplify 4 into 4 31.846 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.846 * [taylor]: Taking taylor expansion of b in b 31.846 * [backup-simplify]: Simplify 0 into 0 31.846 * [backup-simplify]: Simplify 1 into 1 31.847 * [backup-simplify]: Simplify (* 1 1) into 1 31.847 * [backup-simplify]: Simplify (/ 4 1) into 4 31.847 * [backup-simplify]: Simplify 4 into 4 31.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 31.848 * [backup-simplify]: Simplify 0 into 0 31.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.849 * [backup-simplify]: Simplify 0 into 0 31.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.850 * [backup-simplify]: Simplify 0 into 0 31.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.852 * [backup-simplify]: Simplify 0 into 0 31.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 31.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.853 * [backup-simplify]: Simplify 0 into 0 31.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 31.855 * [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 31.855 * [backup-simplify]: Simplify 0 into 0 31.855 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- b))) 2)) into (* 4 (pow b 2)) 31.855 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 31.855 * [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)) 31.855 * [approximate]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in (b a) around 0 31.855 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in a 31.855 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in a 31.855 * [taylor]: Taking taylor expansion of 4 in a 31.855 * [backup-simplify]: Simplify 4 into 4 31.855 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.855 * [taylor]: Taking taylor expansion of b in a 31.855 * [backup-simplify]: Simplify b into b 31.855 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in a 31.855 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 31.855 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.855 * [taylor]: Taking taylor expansion of a in a 31.855 * [backup-simplify]: Simplify 0 into 0 31.855 * [backup-simplify]: Simplify 1 into 1 31.855 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.855 * [taylor]: Taking taylor expansion of b in a 31.855 * [backup-simplify]: Simplify b into b 31.855 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.855 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 31.855 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in b 31.855 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 31.856 * [taylor]: Taking taylor expansion of 4 in b 31.856 * [backup-simplify]: Simplify 4 into 4 31.856 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.856 * [taylor]: Taking taylor expansion of b in b 31.856 * [backup-simplify]: Simplify 0 into 0 31.856 * [backup-simplify]: Simplify 1 into 1 31.856 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 31.856 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 31.856 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.856 * [taylor]: Taking taylor expansion of a in b 31.856 * [backup-simplify]: Simplify a into a 31.856 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.856 * [taylor]: Taking taylor expansion of b in b 31.856 * [backup-simplify]: Simplify 0 into 0 31.856 * [backup-simplify]: Simplify 1 into 1 31.856 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.856 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 31.856 * [taylor]: Taking taylor expansion of (+ (* 4 (pow b 2)) (pow (+ (pow a 2) (pow b 2)) 2)) in b 31.856 * [taylor]: Taking taylor expansion of (* 4 (pow b 2)) in b 31.856 * [taylor]: Taking taylor expansion of 4 in b 31.856 * [backup-simplify]: Simplify 4 into 4 31.856 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.856 * [taylor]: Taking taylor expansion of b in b 31.856 * [backup-simplify]: Simplify 0 into 0 31.856 * [backup-simplify]: Simplify 1 into 1 31.856 * [taylor]: Taking taylor expansion of (pow (+ (pow a 2) (pow b 2)) 2) in b 31.856 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 31.856 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.856 * [taylor]: Taking taylor expansion of a in b 31.856 * [backup-simplify]: Simplify a into a 31.856 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.856 * [taylor]: Taking taylor expansion of b in b 31.856 * [backup-simplify]: Simplify 0 into 0 31.856 * [backup-simplify]: Simplify 1 into 1 31.856 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.856 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 31.856 * [backup-simplify]: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) 31.856 * [backup-simplify]: Simplify (+ 0 (pow a 4)) into (pow a 4) 31.856 * [taylor]: Taking taylor expansion of (pow a 4) in a 31.856 * [taylor]: Taking taylor expansion of a in a 31.856 * [backup-simplify]: Simplify 0 into 0 31.856 * [backup-simplify]: Simplify 1 into 1 31.856 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 31.857 * [backup-simplify]: Simplify (+ 0 0) into 0 31.857 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 31.857 * [backup-simplify]: Simplify (+ 0 0) into 0 31.857 * [taylor]: Taking taylor expansion of 0 in a 31.857 * [backup-simplify]: Simplify 0 into 0 31.857 * [backup-simplify]: Simplify 0 into 0 31.857 * [backup-simplify]: Simplify (* 1 1) into 1 31.858 * [backup-simplify]: Simplify (* 4 1) into 4 31.858 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 31.859 * [backup-simplify]: Simplify (* 1 1) into 1 31.859 * [backup-simplify]: Simplify (+ 0 1) into 1 31.860 * [backup-simplify]: Simplify (+ (* (pow a 2) 1) (+ (* 0 0) (* 1 (pow a 2)))) into (* 2 (pow a 2)) 31.860 * [backup-simplify]: Simplify (+ 4 (* 2 (pow a 2))) into (+ (* 2 (pow a 2)) 4) 31.860 * [taylor]: Taking taylor expansion of (+ (* 2 (pow a 2)) 4) in a 31.860 * [taylor]: Taking taylor expansion of (* 2 (pow a 2)) in a 31.860 * [taylor]: Taking taylor expansion of 2 in a 31.860 * [backup-simplify]: Simplify 2 into 2 31.860 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.860 * [taylor]: Taking taylor expansion of a in a 31.860 * [backup-simplify]: Simplify 0 into 0 31.860 * [backup-simplify]: Simplify 1 into 1 31.860 * [taylor]: Taking taylor expansion of 4 in a 31.860 * [backup-simplify]: Simplify 4 into 4 31.861 * [backup-simplify]: Simplify (+ 0 4) into 4 31.861 * [backup-simplify]: Simplify 4 into 4 31.861 * [backup-simplify]: Simplify 0 into 0 31.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.862 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 31.863 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 31.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.864 * [backup-simplify]: Simplify (+ 0 0) into 0 31.865 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow a 2))))) into 0 31.865 * [backup-simplify]: Simplify (+ 0 0) into 0 31.866 * [taylor]: Taking taylor expansion of 0 in a 31.866 * [backup-simplify]: Simplify 0 into 0 31.866 * [backup-simplify]: Simplify 0 into 0 31.866 * [backup-simplify]: Simplify (+ 0 0) into 0 31.866 * [backup-simplify]: Simplify 0 into 0 31.866 * [backup-simplify]: Simplify 0 into 0 31.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.868 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 31.869 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 31.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.870 * [backup-simplify]: Simplify (+ 0 0) into 0 31.871 * [backup-simplify]: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow a 2)))))) into 1 31.871 * [backup-simplify]: Simplify (+ 0 1) into 1 31.871 * [taylor]: Taking taylor expansion of 1 in a 31.871 * [backup-simplify]: Simplify 1 into 1 31.871 * [backup-simplify]: Simplify 1 into 1 31.871 * [backup-simplify]: Simplify 0 into 0 31.871 * [backup-simplify]: Simplify (* 1 1) into 1 31.872 * [backup-simplify]: Simplify (* 2 1) into 2 31.872 * [backup-simplify]: Simplify (+ 2 0) into 2 31.872 * [backup-simplify]: Simplify 2 into 2 31.872 * [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)))) 31.872 * [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)))) 31.872 * [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 31.872 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in a 31.872 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 31.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.873 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.873 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.873 * [taylor]: Taking taylor expansion of a in a 31.873 * [backup-simplify]: Simplify 0 into 0 31.873 * [backup-simplify]: Simplify 1 into 1 31.873 * [backup-simplify]: Simplify (* 1 1) into 1 31.873 * [backup-simplify]: Simplify (/ 1 1) into 1 31.873 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.873 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.873 * [taylor]: Taking taylor expansion of b in a 31.873 * [backup-simplify]: Simplify b into b 31.873 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.873 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.873 * [backup-simplify]: Simplify (+ 1 0) into 1 31.874 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in a 31.874 * [taylor]: Taking taylor expansion of 4 in a 31.874 * [backup-simplify]: Simplify 4 into 4 31.874 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.874 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.874 * [taylor]: Taking taylor expansion of b in a 31.874 * [backup-simplify]: Simplify b into b 31.874 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.874 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.874 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 31.874 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 31.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.874 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.874 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.874 * [taylor]: Taking taylor expansion of a in b 31.874 * [backup-simplify]: Simplify a into a 31.874 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.874 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.874 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.874 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.874 * [taylor]: Taking taylor expansion of b in b 31.874 * [backup-simplify]: Simplify 0 into 0 31.874 * [backup-simplify]: Simplify 1 into 1 31.874 * [backup-simplify]: Simplify (* 1 1) into 1 31.874 * [backup-simplify]: Simplify (/ 1 1) into 1 31.875 * [backup-simplify]: Simplify (+ 0 1) into 1 31.875 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 31.875 * [taylor]: Taking taylor expansion of 4 in b 31.875 * [backup-simplify]: Simplify 4 into 4 31.875 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.875 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.875 * [taylor]: Taking taylor expansion of b in b 31.875 * [backup-simplify]: Simplify 0 into 0 31.875 * [backup-simplify]: Simplify 1 into 1 31.875 * [backup-simplify]: Simplify (* 1 1) into 1 31.875 * [backup-simplify]: Simplify (/ 1 1) into 1 31.875 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 31.875 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 31.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.875 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.875 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.875 * [taylor]: Taking taylor expansion of a in b 31.875 * [backup-simplify]: Simplify a into a 31.875 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.875 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.876 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.876 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.876 * [taylor]: Taking taylor expansion of b in b 31.876 * [backup-simplify]: Simplify 0 into 0 31.876 * [backup-simplify]: Simplify 1 into 1 31.876 * [backup-simplify]: Simplify (* 1 1) into 1 31.876 * [backup-simplify]: Simplify (/ 1 1) into 1 31.876 * [backup-simplify]: Simplify (+ 0 1) into 1 31.876 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 31.876 * [taylor]: Taking taylor expansion of 4 in b 31.876 * [backup-simplify]: Simplify 4 into 4 31.876 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.876 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.876 * [taylor]: Taking taylor expansion of b in b 31.876 * [backup-simplify]: Simplify 0 into 0 31.876 * [backup-simplify]: Simplify 1 into 1 31.877 * [backup-simplify]: Simplify (* 1 1) into 1 31.877 * [backup-simplify]: Simplify (/ 1 1) into 1 31.877 * [backup-simplify]: Simplify (* 1 1) into 1 31.877 * [backup-simplify]: Simplify (+ 1 0) into 1 31.877 * [taylor]: Taking taylor expansion of 1 in a 31.877 * [backup-simplify]: Simplify 1 into 1 31.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.879 * [backup-simplify]: Simplify (+ 0 0) into 0 31.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.879 * [backup-simplify]: Simplify (+ 0 0) into 0 31.879 * [taylor]: Taking taylor expansion of 0 in a 31.879 * [backup-simplify]: Simplify 0 into 0 31.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.880 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 31.881 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* 0 0) (* (/ 1 (pow a 2)) 1))) into (* 2 (/ 1 (pow a 2))) 31.881 * [backup-simplify]: Simplify (* 4 1) into 4 31.881 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow a 2))) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 31.881 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 31.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 31.881 * [taylor]: Taking taylor expansion of 2 in a 31.881 * [backup-simplify]: Simplify 2 into 2 31.881 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.881 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.881 * [taylor]: Taking taylor expansion of a in a 31.881 * [backup-simplify]: Simplify 0 into 0 31.881 * [backup-simplify]: Simplify 1 into 1 31.882 * [backup-simplify]: Simplify (* 1 1) into 1 31.882 * [backup-simplify]: Simplify (/ 1 1) into 1 31.882 * [taylor]: Taking taylor expansion of 4 in a 31.882 * [backup-simplify]: Simplify 4 into 4 31.882 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 31.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 31.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.884 * [backup-simplify]: Simplify (+ 0 0) into 0 31.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow a 2))) (+ (* (/ 1 (pow a 2)) 0) (* 0 1)))) into 0 31.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.885 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 31.886 * [backup-simplify]: Simplify (+ 0 0) into 0 31.886 * [taylor]: Taking taylor expansion of 0 in a 31.886 * [backup-simplify]: Simplify 0 into 0 31.886 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 31.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 31.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.888 * [backup-simplify]: Simplify (+ 0 0) into 0 31.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow a 4)) 31.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.890 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 31.890 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 31.890 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 31.890 * [taylor]: Taking taylor expansion of (pow a 4) in a 31.890 * [taylor]: Taking taylor expansion of a in a 31.890 * [backup-simplify]: Simplify 0 into 0 31.890 * [backup-simplify]: Simplify 1 into 1 31.891 * [backup-simplify]: Simplify (* 1 1) into 1 31.891 * [backup-simplify]: Simplify (* 1 1) into 1 31.891 * [backup-simplify]: Simplify (/ 1 1) into 1 31.891 * [backup-simplify]: Simplify 1 into 1 31.891 * [backup-simplify]: Simplify (* 2 1) into 2 31.892 * [backup-simplify]: Simplify (+ 2 0) into 2 31.892 * [backup-simplify]: Simplify 2 into 2 31.892 * [backup-simplify]: Simplify 1 into 1 31.892 * [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))) 31.892 * [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)))) 31.892 * [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 31.892 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in a 31.892 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in a 31.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 31.892 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.892 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.892 * [taylor]: Taking taylor expansion of a in a 31.892 * [backup-simplify]: Simplify 0 into 0 31.892 * [backup-simplify]: Simplify 1 into 1 31.893 * [backup-simplify]: Simplify (* 1 1) into 1 31.893 * [backup-simplify]: Simplify (/ 1 1) into 1 31.893 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.893 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.893 * [taylor]: Taking taylor expansion of b in a 31.893 * [backup-simplify]: Simplify b into b 31.893 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.893 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.893 * [backup-simplify]: Simplify (+ 1 0) into 1 31.893 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in a 31.893 * [taylor]: Taking taylor expansion of 4 in a 31.893 * [backup-simplify]: Simplify 4 into 4 31.894 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 31.894 * [taylor]: Taking taylor expansion of (pow b 2) in a 31.894 * [taylor]: Taking taylor expansion of b in a 31.894 * [backup-simplify]: Simplify b into b 31.894 * [backup-simplify]: Simplify (* b b) into (pow b 2) 31.894 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 31.894 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 31.894 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 31.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.894 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.894 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.894 * [taylor]: Taking taylor expansion of a in b 31.894 * [backup-simplify]: Simplify a into a 31.894 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.894 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.894 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.894 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.894 * [taylor]: Taking taylor expansion of b in b 31.894 * [backup-simplify]: Simplify 0 into 0 31.894 * [backup-simplify]: Simplify 1 into 1 31.894 * [backup-simplify]: Simplify (* 1 1) into 1 31.894 * [backup-simplify]: Simplify (/ 1 1) into 1 31.895 * [backup-simplify]: Simplify (+ 0 1) into 1 31.895 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 31.895 * [taylor]: Taking taylor expansion of 4 in b 31.895 * [backup-simplify]: Simplify 4 into 4 31.895 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.895 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.895 * [taylor]: Taking taylor expansion of b in b 31.895 * [backup-simplify]: Simplify 0 into 0 31.895 * [backup-simplify]: Simplify 1 into 1 31.895 * [backup-simplify]: Simplify (* 1 1) into 1 31.895 * [backup-simplify]: Simplify (/ 1 1) into 1 31.895 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) (* 4 (/ 1 (pow b 2)))) in b 31.895 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2) in b 31.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 31.895 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 31.895 * [taylor]: Taking taylor expansion of (pow a 2) in b 31.895 * [taylor]: Taking taylor expansion of a in b 31.895 * [backup-simplify]: Simplify a into a 31.895 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.895 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 31.895 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.895 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.895 * [taylor]: Taking taylor expansion of b in b 31.895 * [backup-simplify]: Simplify 0 into 0 31.896 * [backup-simplify]: Simplify 1 into 1 31.896 * [backup-simplify]: Simplify (* 1 1) into 1 31.896 * [backup-simplify]: Simplify (/ 1 1) into 1 31.896 * [backup-simplify]: Simplify (+ 0 1) into 1 31.896 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 31.896 * [taylor]: Taking taylor expansion of 4 in b 31.896 * [backup-simplify]: Simplify 4 into 4 31.896 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 31.896 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.896 * [taylor]: Taking taylor expansion of b in b 31.896 * [backup-simplify]: Simplify 0 into 0 31.896 * [backup-simplify]: Simplify 1 into 1 31.897 * [backup-simplify]: Simplify (* 1 1) into 1 31.897 * [backup-simplify]: Simplify (/ 1 1) into 1 31.897 * [backup-simplify]: Simplify (* 1 1) into 1 31.898 * [backup-simplify]: Simplify (+ 1 0) into 1 31.898 * [taylor]: Taking taylor expansion of 1 in a 31.898 * [backup-simplify]: Simplify 1 into 1 31.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.899 * [backup-simplify]: Simplify (+ 0 0) into 0 31.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.900 * [backup-simplify]: Simplify (+ 0 0) into 0 31.900 * [taylor]: Taking taylor expansion of 0 in a 31.900 * [backup-simplify]: Simplify 0 into 0 31.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.903 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 31.904 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* 0 0) (* (/ 1 (pow a 2)) 1))) into (* 2 (/ 1 (pow a 2))) 31.904 * [backup-simplify]: Simplify (* 4 1) into 4 31.904 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow a 2))) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) 31.904 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a 31.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 31.904 * [taylor]: Taking taylor expansion of 2 in a 31.904 * [backup-simplify]: Simplify 2 into 2 31.904 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 31.904 * [taylor]: Taking taylor expansion of (pow a 2) in a 31.905 * [taylor]: Taking taylor expansion of a in a 31.905 * [backup-simplify]: Simplify 0 into 0 31.905 * [backup-simplify]: Simplify 1 into 1 31.905 * [backup-simplify]: Simplify (* 1 1) into 1 31.905 * [backup-simplify]: Simplify (/ 1 1) into 1 31.905 * [taylor]: Taking taylor expansion of 4 in a 31.905 * [backup-simplify]: Simplify 4 into 4 31.906 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 31.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 31.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.908 * [backup-simplify]: Simplify (+ 0 0) into 0 31.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow a 2))) (+ (* (/ 1 (pow a 2)) 0) (* 0 1)))) into 0 31.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.911 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 31.912 * [backup-simplify]: Simplify (+ 0 0) into 0 31.912 * [taylor]: Taking taylor expansion of 0 in a 31.912 * [backup-simplify]: Simplify 0 into 0 31.912 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 31.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 31.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.915 * [backup-simplify]: Simplify (+ 0 0) into 0 31.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow a 4)) 31.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.919 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 31.919 * [backup-simplify]: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) 31.919 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 31.919 * [taylor]: Taking taylor expansion of (pow a 4) in a 31.919 * [taylor]: Taking taylor expansion of a in a 31.919 * [backup-simplify]: Simplify 0 into 0 31.919 * [backup-simplify]: Simplify 1 into 1 31.920 * [backup-simplify]: Simplify (* 1 1) into 1 31.920 * [backup-simplify]: Simplify (* 1 1) into 1 31.921 * [backup-simplify]: Simplify (/ 1 1) into 1 31.921 * [backup-simplify]: Simplify 1 into 1 31.921 * [backup-simplify]: Simplify (* 2 1) into 2 31.922 * [backup-simplify]: Simplify (+ 2 0) into 2 31.922 * [backup-simplify]: Simplify 2 into 2 31.922 * [backup-simplify]: Simplify 1 into 1 31.923 * [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))) 31.923 * * * [progress]: simplifying candidates 31.923 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 31.923 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 31.923 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 31.923 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 31.923 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 31.923 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 31.923 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 31.923 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 31.924 * * [simplify]: iters left: 6 (8 enodes) 31.927 * * [simplify]: iters left: 5 (26 enodes) 31.932 * * [simplify]: Extracting #0: cost 1 inf + 0 31.932 * * [simplify]: Extracting #1: cost 4 inf + 0 31.932 * * [simplify]: Extracting #2: cost 7 inf + 0 31.932 * * [simplify]: Extracting #3: cost 10 inf + 0 31.932 * * [simplify]: Extracting #4: cost 14 inf + 0 31.932 * * [simplify]: Extracting #5: cost 10 inf + 84 31.932 * * [simplify]: Extracting #6: cost 8 inf + 166 31.932 * * [simplify]: Extracting #7: cost 4 inf + 854 31.932 * * [simplify]: Extracting #8: cost 1 inf + 1540 31.933 * * [simplify]: Extracting #9: cost 0 inf + 1782 31.933 * [simplify]: Simplified to (fabs (cbrt (+ (* a a) (* b b)))) 31.933 * [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)) 31.933 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 31.933 * [simplify]: Simplifying (sqrt (sqrt (+ (* a a) (* b b)))) 31.933 * * [simplify]: iters left: 6 (7 enodes) 31.939 * * [simplify]: iters left: 5 (22 enodes) 31.942 * * [simplify]: Extracting #0: cost 1 inf + 0 31.942 * * [simplify]: Extracting #1: cost 3 inf + 0 31.942 * * [simplify]: Extracting #2: cost 5 inf + 0 31.942 * * [simplify]: Extracting #3: cost 8 inf + 0 31.942 * * [simplify]: Extracting #4: cost 12 inf + 0 31.942 * * [simplify]: Extracting #5: cost 10 inf + 2 31.942 * * [simplify]: Extracting #6: cost 1 inf + 936 31.942 * * [simplify]: Extracting #7: cost 0 inf + 1138 31.942 * [simplify]: Simplified to (sqrt (sqrt (+ (* a a) (* b b)))) 31.942 * [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)) 31.942 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 31.943 * [simplify]: Simplifying (sqrt 1) 31.943 * * [simplify]: iters left: 1 (2 enodes) 31.945 * * [simplify]: Extracting #0: cost 1 inf + 0 31.945 * * [simplify]: Extracting #1: cost 0 inf + 1 31.945 * [simplify]: Simplified to 1 31.945 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (* 1 (sqrt (+ (* a a) (* b b)))) 4)) 1)) 31.945 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 31.945 * [simplify]: Simplifying (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))) 31.945 * * [simplify]: iters left: 6 (9 enodes) 31.948 * * [simplify]: iters left: 5 (45 enodes) 31.959 * * [simplify]: iters left: 4 (100 enodes) 32.000 * * [simplify]: iters left: 3 (201 enodes) 32.062 * * [simplify]: iters left: 2 (406 enodes) 32.193 * * [simplify]: Extracting #0: cost 1 inf + 0 32.193 * * [simplify]: Extracting #1: cost 3 inf + 0 32.193 * * [simplify]: Extracting #2: cost 6 inf + 0 32.194 * * [simplify]: Extracting #3: cost 62 inf + 0 32.194 * * [simplify]: Extracting #4: cost 166 inf + 460 32.196 * * [simplify]: Extracting #5: cost 131 inf + 12951 32.199 * * [simplify]: Extracting #6: cost 49 inf + 45746 32.204 * * [simplify]: Extracting #7: cost 1 inf + 66256 32.209 * * [simplify]: Extracting #8: cost 0 inf + 65919 32.219 * [simplify]: Simplified to (sqrt (+ (* (* a (* a a)) (* a (* a a))) (* (* b b) (* (* b b) (* b b))))) 32.219 * [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)) 32.220 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 32.220 * [simplify]: Simplifying (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 32.220 * * [simplify]: iters left: 6 (8 enodes) 32.225 * * [simplify]: iters left: 5 (37 enodes) 32.238 * * [simplify]: iters left: 4 (67 enodes) 32.259 * * [simplify]: iters left: 3 (123 enodes) 32.285 * * [simplify]: iters left: 2 (278 enodes) 32.402 * * [simplify]: Extracting #0: cost 1 inf + 0 32.403 * * [simplify]: Extracting #1: cost 3 inf + 0 32.403 * * [simplify]: Extracting #2: cost 50 inf + 0 32.403 * * [simplify]: Extracting #3: cost 150 inf + 0 32.404 * * [simplify]: Extracting #4: cost 194 inf + 1180 32.406 * * [simplify]: Extracting #5: cost 123 inf + 12421 32.412 * * [simplify]: Extracting #6: cost 12 inf + 33804 32.420 * * [simplify]: Extracting #7: cost 0 inf + 36129 32.429 * [simplify]: Simplified to (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) 32.429 * [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)) 32.429 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 32.429 * [simplify]: Simplifying (+ (* a a) (* b b)) 32.429 * * [simplify]: iters left: 4 (5 enodes) 32.432 * * [simplify]: iters left: 3 (16 enodes) 32.436 * * [simplify]: Extracting #0: cost 1 inf + 0 32.436 * * [simplify]: Extracting #1: cost 4 inf + 0 32.436 * * [simplify]: Extracting #2: cost 8 inf + 0 32.436 * * [simplify]: Extracting #3: cost 4 inf + 84 32.436 * * [simplify]: Extracting #4: cost 0 inf + 410 32.436 * [simplify]: Simplified to (+ (* a a) (* b b)) 32.436 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (pow (+ (* a a) (* b b)) (/ 1 2)) 4)) 1)) 32.436 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 32.437 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 32.437 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 32.437 * * [simplify]: iters left: 5 (6 enodes) 32.439 * * [simplify]: iters left: 4 (19 enodes) 32.445 * * [simplify]: Extracting #0: cost 1 inf + 0 32.445 * * [simplify]: Extracting #1: cost 3 inf + 0 32.445 * * [simplify]: Extracting #2: cost 6 inf + 0 32.445 * * [simplify]: Extracting #3: cost 10 inf + 0 32.445 * * [simplify]: Extracting #4: cost 6 inf + 84 32.445 * * [simplify]: Extracting #5: cost 0 inf + 734 32.445 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 32.446 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (fabs (sqrt (+ (* a a) (* b b)))) 4)) 1)) 32.446 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 32.446 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* a a) (* b b))))) 4)) 1))> 32.446 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 32.446 * [simplify]: Simplifying (* (log (sqrt (+ (* a a) (* b b)))) 4) 32.446 * * [simplify]: iters left: 6 (9 enodes) 32.450 * * [simplify]: iters left: 5 (29 enodes) 32.459 * * [simplify]: Extracting #0: cost 1 inf + 0 32.459 * * [simplify]: Extracting #1: cost 4 inf + 0 32.459 * * [simplify]: Extracting #2: cost 5 inf + 1 32.459 * * [simplify]: Extracting #3: cost 7 inf + 1 32.459 * * [simplify]: Extracting #4: cost 10 inf + 1 32.459 * * [simplify]: Extracting #5: cost 14 inf + 1 32.459 * * [simplify]: Extracting #6: cost 10 inf + 85 32.460 * * [simplify]: Extracting #7: cost 8 inf + 167 32.460 * * [simplify]: Extracting #8: cost 5 inf + 573 32.460 * * [simplify]: Extracting #9: cost 2 inf + 1240 32.461 * * [simplify]: Extracting #10: cost 0 inf + 1745 32.461 * [simplify]: Simplified to (* 4 (log (sqrt (+ (* a a) (* b b))))) 32.461 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (exp (* 4 (log (sqrt (+ (* a a) (* b b))))))) 1)) 32.462 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 32.462 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 32.462 * [simplify]: Simplifying (+ (* a a) (* b b)) 32.462 * * [simplify]: iters left: 4 (5 enodes) 32.464 * * [simplify]: iters left: 3 (16 enodes) 32.467 * * [simplify]: Extracting #0: cost 1 inf + 0 32.467 * * [simplify]: Extracting #1: cost 4 inf + 0 32.467 * * [simplify]: Extracting #2: cost 8 inf + 0 32.467 * * [simplify]: Extracting #3: cost 4 inf + 84 32.467 * * [simplify]: Extracting #4: cost 0 inf + 410 32.467 * [simplify]: Simplified to (+ (* a a) (* b b)) 32.467 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (* 1/2 4))) 1)) 32.467 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 32.467 * [simplify]: Simplifying (sqrt (+ (* a a) (* b b))) 32.467 * * [simplify]: iters left: 5 (6 enodes) 32.469 * * [simplify]: iters left: 4 (19 enodes) 32.471 * * [simplify]: Extracting #0: cost 1 inf + 0 32.471 * * [simplify]: Extracting #1: cost 3 inf + 0 32.471 * * [simplify]: Extracting #2: cost 6 inf + 0 32.472 * * [simplify]: Extracting #3: cost 10 inf + 0 32.472 * * [simplify]: Extracting #4: cost 6 inf + 84 32.472 * * [simplify]: Extracting #5: cost 0 inf + 734 32.472 * [simplify]: Simplified to (sqrt (+ (* a a) (* b b))) 32.472 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) (* 1 4))) 1)) 32.472 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 32.472 * [simplify]: Simplifying (+ (* a a) (* b b)) 32.472 * * [simplify]: iters left: 4 (5 enodes) 32.473 * * [simplify]: iters left: 3 (16 enodes) 32.475 * * [simplify]: Extracting #0: cost 1 inf + 0 32.475 * * [simplify]: Extracting #1: cost 4 inf + 0 32.475 * * [simplify]: Extracting #2: cost 8 inf + 0 32.475 * * [simplify]: Extracting #3: cost 4 inf + 84 32.476 * * [simplify]: Extracting #4: cost 0 inf + 410 32.476 * [simplify]: Simplified to (+ (* a a) (* b b)) 32.476 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (* (/ 1 2) 4))) 1)) 32.476 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 32.476 * [simplify]: Simplifying (cbrt 4) 32.476 * * [simplify]: iters left: 1 (2 enodes) 32.477 * * [simplify]: Extracting #0: cost 1 inf + 0 32.477 * * [simplify]: Extracting #1: cost 3 inf + 0 32.477 * * [simplify]: Extracting #2: cost 2 inf + 1 32.477 * * [simplify]: Extracting #3: cost 0 inf + 163 32.477 * [simplify]: Simplified to (cbrt 4) 32.477 * [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)) 32.477 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 32.478 * [simplify]: Simplifying (sqrt 4) 32.478 * * [simplify]: iters left: 1 (2 enodes) 32.479 * * [simplify]: Extracting #0: cost 1 inf + 0 32.479 * * [simplify]: Extracting #1: cost 0 inf + 1 32.479 * [simplify]: Simplified to 2 32.479 * [simplify]: Simplified (2 1 2 2) to (λ (a b) (- (+ (* (* b b) 4) (pow (pow (sqrt (+ (* a a) (* b b))) (sqrt 4)) 2)) 1)) 32.479 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 32.479 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 32.479 * [simplify]: Simplifying (pow (* (cbrt (sqrt (+ (* a a) (* b b)))) (cbrt (sqrt (+ (* a a) (* b b))))) 4) 32.479 * * [simplify]: iters left: 6 (10 enodes) 32.484 * * [simplify]: iters left: 5 (35 enodes) 32.490 * * [simplify]: iters left: 4 (48 enodes) 32.504 * * [simplify]: iters left: 3 (70 enodes) 32.528 * * [simplify]: iters left: 2 (112 enodes) 32.551 * * [simplify]: iters left: 1 (203 enodes) 32.613 * * [simplify]: Extracting #0: cost 1 inf + 0 32.613 * * [simplify]: Extracting #1: cost 5 inf + 0 32.613 * * [simplify]: Extracting #2: cost 23 inf + 1 32.613 * * [simplify]: Extracting #3: cost 56 inf + 3 32.613 * * [simplify]: Extracting #4: cost 54 inf + 8 32.613 * * [simplify]: Extracting #5: cost 56 inf + 9 32.614 * * [simplify]: Extracting #6: cost 60 inf + 9 32.614 * * [simplify]: Extracting #7: cost 56 inf + 93 32.614 * * [simplify]: Extracting #8: cost 47 inf + 1509 32.615 * * [simplify]: Extracting #9: cost 37 inf + 5122 32.618 * * [simplify]: Extracting #10: cost 19 inf + 14312 32.622 * * [simplify]: Extracting #11: cost 4 inf + 23569 32.629 * * [simplify]: Extracting #12: cost 0 inf + 26152 32.639 * [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))))))) 32.639 * [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)) 32.640 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 32.640 * [simplify]: Simplifying (pow (sqrt (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 4) 32.640 * * [simplify]: iters left: 6 (10 enodes) 32.646 * * [simplify]: iters left: 5 (36 enodes) 32.658 * * [simplify]: iters left: 4 (49 enodes) 32.675 * * [simplify]: iters left: 3 (71 enodes) 32.701 * * [simplify]: iters left: 2 (118 enodes) 32.738 * * [simplify]: iters left: 1 (231 enodes) 32.817 * * [simplify]: Extracting #0: cost 1 inf + 0 32.817 * * [simplify]: Extracting #1: cost 23 inf + 0 32.817 * * [simplify]: Extracting #2: cost 77 inf + 1 32.818 * * [simplify]: Extracting #3: cost 82 inf + 8 32.819 * * [simplify]: Extracting #4: cost 85 inf + 10 32.819 * * [simplify]: Extracting #5: cost 76 inf + 743 32.824 * * [simplify]: Extracting #6: cost 44 inf + 14491 32.835 * * [simplify]: Extracting #7: cost 1 inf + 35292 32.849 * * [simplify]: Extracting #8: cost 0 inf + 35141 32.863 * [simplify]: Simplified to (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) 32.863 * [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)) 32.864 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 32.864 * [simplify]: Simplifying (pow (sqrt (sqrt (+ (* a a) (* b b)))) 4) 32.864 * * [simplify]: iters left: 6 (9 enodes) 32.870 * * [simplify]: iters left: 5 (32 enodes) 32.880 * * [simplify]: iters left: 4 (45 enodes) 32.895 * * [simplify]: iters left: 3 (67 enodes) 32.918 * * [simplify]: iters left: 2 (110 enodes) 32.955 * * [simplify]: iters left: 1 (200 enodes) 33.018 * * [simplify]: Extracting #0: cost 1 inf + 0 33.019 * * [simplify]: Extracting #1: cost 17 inf + 0 33.019 * * [simplify]: Extracting #2: cost 51 inf + 1 33.019 * * [simplify]: Extracting #3: cost 50 inf + 132 33.020 * * [simplify]: Extracting #4: cost 47 inf + 297 33.021 * * [simplify]: Extracting #5: cost 39 inf + 2054 33.025 * * [simplify]: Extracting #6: cost 16 inf + 11378 33.032 * * [simplify]: Extracting #7: cost 3 inf + 18267 33.037 * * [simplify]: Extracting #8: cost 0 inf + 19826 33.041 * [simplify]: Simplified to (+ (* a a) (* b b)) 33.041 * [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)) 33.041 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 33.041 * [simplify]: Simplifying (pow (sqrt 1) 4) 33.041 * * [simplify]: iters left: 2 (4 enodes) 33.044 * * [simplify]: iters left: 1 (18 enodes) 33.051 * * [simplify]: Extracting #0: cost 1 inf + 0 33.051 * * [simplify]: Extracting #1: cost 0 inf + 1 33.051 * [simplify]: Simplified to 1 33.051 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (pow (sqrt (+ (* a a) (* b b))) 4))) 1)) 33.051 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 33.052 * [simplify]: Simplifying (pow (sqrt (sqrt (+ (* a a) (* b b)))) 4) 33.052 * * [simplify]: iters left: 6 (9 enodes) 33.055 * * [simplify]: iters left: 5 (32 enodes) 33.066 * * [simplify]: iters left: 4 (45 enodes) 33.081 * * [simplify]: iters left: 3 (67 enodes) 33.096 * * [simplify]: iters left: 2 (110 enodes) 33.125 * * [simplify]: iters left: 1 (200 enodes) 33.197 * * [simplify]: Extracting #0: cost 1 inf + 0 33.198 * * [simplify]: Extracting #1: cost 17 inf + 0 33.198 * * [simplify]: Extracting #2: cost 51 inf + 1 33.198 * * [simplify]: Extracting #3: cost 50 inf + 132 33.199 * * [simplify]: Extracting #4: cost 47 inf + 297 33.200 * * [simplify]: Extracting #5: cost 39 inf + 2054 33.204 * * [simplify]: Extracting #6: cost 16 inf + 11378 33.211 * * [simplify]: Extracting #7: cost 3 inf + 18267 33.219 * * [simplify]: Extracting #8: cost 0 inf + 19826 33.227 * [simplify]: Simplified to (+ (* a a) (* b b)) 33.227 * [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)) 33.227 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 33.228 * [simplify]: Simplifying (pow 1 4) 33.228 * * [simplify]: iters left: 1 (3 enodes) 33.231 * * [simplify]: Extracting #0: cost 1 inf + 0 33.231 * * [simplify]: Extracting #1: cost 0 inf + 1 33.231 * [simplify]: Simplified to 1 33.231 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (* 1 (pow (sqrt (+ (* a a) (* b b))) 4))) 1)) 33.231 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 33.231 * * * * [progress]: [ 32 / 84 ] simplifiying candidate # 33.231 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 33.231 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 33.231 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 33.231 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 33.231 * [simplify]: Simplifying (+ (* a a) (* b b)) 33.232 * * [simplify]: iters left: 4 (5 enodes) 33.234 * * [simplify]: iters left: 3 (16 enodes) 33.238 * * [simplify]: Extracting #0: cost 1 inf + 0 33.238 * * [simplify]: Extracting #1: cost 4 inf + 0 33.238 * * [simplify]: Extracting #2: cost 8 inf + 0 33.238 * * [simplify]: Extracting #3: cost 4 inf + 84 33.238 * * [simplify]: Extracting #4: cost 0 inf + 410 33.239 * [simplify]: Simplified to (+ (* a a) (* b b)) 33.239 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (+ (* a a) (* b b)) (/ 4 2))) 1)) 33.239 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 33.239 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 33.239 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 33.239 * * * * [progress]: [ 40 / 84 ] simplifiying candidate #real (real->posit16 (pow (sqrt (+ (* a a) (* b b))) 4)))) 1))> 33.239 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 33.239 * [simplify]: Simplifying (* (* b b) 4) 33.239 * * [simplify]: iters left: 4 (4 enodes) 33.242 * * [simplify]: iters left: 3 (15 enodes) 33.247 * * [simplify]: iters left: 2 (19 enodes) 33.252 * * [simplify]: iters left: 1 (20 enodes) 33.258 * * [simplify]: Extracting #0: cost 1 inf + 0 33.258 * * [simplify]: Extracting #1: cost 6 inf + 0 33.258 * * [simplify]: Extracting #2: cost 6 inf + 2 33.258 * * [simplify]: Extracting #3: cost 0 inf + 332 33.259 * [simplify]: Simplified to (* 4 (* b b)) 33.259 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.259 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 33.259 * [simplify]: Simplifying (* (* b b) 4) 33.259 * * [simplify]: iters left: 4 (4 enodes) 33.261 * * [simplify]: iters left: 3 (15 enodes) 33.266 * * [simplify]: iters left: 2 (19 enodes) 33.272 * * [simplify]: iters left: 1 (20 enodes) 33.278 * * [simplify]: Extracting #0: cost 1 inf + 0 33.278 * * [simplify]: Extracting #1: cost 6 inf + 0 33.278 * * [simplify]: Extracting #2: cost 6 inf + 2 33.278 * * [simplify]: Extracting #3: cost 0 inf + 332 33.278 * [simplify]: Simplified to (* 4 (* b b)) 33.278 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (* 4 (* b b)) 1) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.278 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 33.279 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 33.279 * [simplify]: Simplifying (+ (+ (log b) (log b)) (log 4)) 33.279 * * [simplify]: iters left: 5 (6 enodes) 33.283 * * [simplify]: iters left: 4 (21 enodes) 33.290 * * [simplify]: iters left: 3 (25 enodes) 33.297 * * [simplify]: iters left: 2 (26 enodes) 33.306 * * [simplify]: Extracting #0: cost 1 inf + 0 33.306 * * [simplify]: Extracting #1: cost 6 inf + 0 33.306 * * [simplify]: Extracting #2: cost 12 inf + 0 33.306 * * [simplify]: Extracting #3: cost 10 inf + 2 33.306 * * [simplify]: Extracting #4: cost 0 inf + 1316 33.307 * [simplify]: Simplified to (+ (+ (log b) (log b)) (log 4)) 33.307 * [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)) 33.307 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 33.307 * [simplify]: Simplifying (+ (log (* b b)) (log 4)) 33.307 * * [simplify]: iters left: 5 (6 enodes) 33.309 * * [simplify]: iters left: 4 (21 enodes) 33.312 * * [simplify]: iters left: 3 (27 enodes) 33.317 * * [simplify]: iters left: 2 (32 enodes) 33.321 * * [simplify]: Extracting #0: cost 1 inf + 0 33.321 * * [simplify]: Extracting #1: cost 6 inf + 0 33.321 * * [simplify]: Extracting #2: cost 13 inf + 0 33.321 * * [simplify]: Extracting #3: cost 12 inf + 2 33.321 * * [simplify]: Extracting #4: cost 4 inf + 913 33.321 * * [simplify]: Extracting #5: cost 0 inf + 1398 33.322 * [simplify]: Simplified to (+ (+ (log b) (log 4)) (log b)) 33.322 * [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)) 33.322 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 33.322 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 33.322 * * * * [progress]: [ 48 / 84 ] simplifiying candidate # 33.322 * [simplify]: Simplifying (* (* (* (* b b) b) (* (* b b) b)) (* (* 4 4) 4)) 33.322 * * [simplify]: iters left: 6 (8 enodes) 33.325 * * [simplify]: iters left: 5 (38 enodes) 33.336 * * [simplify]: iters left: 4 (98 enodes) 33.378 * * [simplify]: iters left: 3 (289 enodes) 33.550 * * [simplify]: Extracting #0: cost 1 inf + 0 33.551 * * [simplify]: Extracting #1: cost 53 inf + 0 33.552 * * [simplify]: Extracting #2: cost 102 inf + 886 33.554 * * [simplify]: Extracting #3: cost 45 inf + 8712 33.560 * * [simplify]: Extracting #4: cost 10 inf + 13910 33.563 * * [simplify]: Extracting #5: cost 0 inf + 16377 33.567 * [simplify]: Simplified to (* (* (* (* b b) (* b b)) 64) (* b b)) 33.567 * [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)) 33.567 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 33.567 * [simplify]: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* 4 4) 4)) 33.567 * * [simplify]: iters left: 6 (8 enodes) 33.570 * * [simplify]: iters left: 5 (39 enodes) 33.579 * * [simplify]: iters left: 4 (98 enodes) 33.615 * * [simplify]: iters left: 3 (283 enodes) 33.810 * * [simplify]: Extracting #0: cost 1 inf + 0 33.811 * * [simplify]: Extracting #1: cost 50 inf + 0 33.812 * * [simplify]: Extracting #2: cost 101 inf + 252 33.814 * * [simplify]: Extracting #3: cost 64 inf + 3759 33.820 * * [simplify]: Extracting #4: cost 17 inf + 12648 33.831 * * [simplify]: Extracting #5: cost 0 inf + 17704 33.838 * [simplify]: Simplified to (* (* 64 (* b b)) (* (* b b) (* b b))) 33.839 * [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)) 33.839 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 33.839 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 33.839 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 33.839 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 33.839 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 33.839 * [simplify]: Simplifying (* b (sqrt 4)) 33.839 * * [simplify]: iters left: 3 (4 enodes) 33.843 * * [simplify]: iters left: 2 (14 enodes) 33.847 * * [simplify]: Extracting #0: cost 1 inf + 0 33.847 * * [simplify]: Extracting #1: cost 4 inf + 0 33.847 * * [simplify]: Extracting #2: cost 2 inf + 2 33.847 * * [simplify]: Extracting #3: cost 0 inf + 86 33.847 * [simplify]: Simplified to (* 2 b) 33.847 * [simplify]: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (* 2 b) (* b (sqrt 4))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.847 * [simplify]: Simplifying (* b (sqrt 4)) 33.847 * * [simplify]: iters left: 3 (4 enodes) 33.850 * * [simplify]: iters left: 2 (14 enodes) 33.854 * * [simplify]: Extracting #0: cost 1 inf + 0 33.854 * * [simplify]: Extracting #1: cost 4 inf + 0 33.854 * * [simplify]: Extracting #2: cost 2 inf + 2 33.855 * * [simplify]: Extracting #3: cost 0 inf + 86 33.855 * [simplify]: Simplified to (* 2 b) 33.855 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* b (sqrt 4)) (* 2 b)) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.855 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 33.855 * [simplify]: Simplifying (cbrt 4) 33.855 * * [simplify]: iters left: 1 (2 enodes) 33.857 * * [simplify]: Extracting #0: cost 1 inf + 0 33.857 * * [simplify]: Extracting #1: cost 3 inf + 0 33.857 * * [simplify]: Extracting #2: cost 2 inf + 1 33.857 * * [simplify]: Extracting #3: cost 0 inf + 163 33.857 * [simplify]: Simplified to (cbrt 4) 33.857 * [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)) 33.857 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 33.858 * [simplify]: Simplifying (sqrt 4) 33.858 * * [simplify]: iters left: 1 (2 enodes) 33.860 * * [simplify]: Extracting #0: cost 1 inf + 0 33.860 * * [simplify]: Extracting #1: cost 0 inf + 1 33.860 * [simplify]: Simplified to 2 33.860 * [simplify]: Simplified (2 1 1 2) to (λ (a b) (- (+ (* (* (* b b) (sqrt 4)) 2) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 33.860 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 33.860 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 33.860 * * * * [progress]: [ 59 / 84 ] simplifiying candidate #real (real->posit16 (* (* b b) 4))) (pow (sqrt (+ (* a a) (* b b))) 4)) 1))> 33.860 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 33.860 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 33.861 * [simplify]: Simplifying (* (exp (* (* b b) 4)) (exp (pow (sqrt (+ (* a a) (* b b))) 4))) 33.861 * * [simplify]: iters left: 6 (12 enodes) 33.867 * * [simplify]: iters left: 5 (49 enodes) 33.884 * * [simplify]: iters left: 4 (81 enodes) 33.910 * * [simplify]: iters left: 3 (127 enodes) 33.954 * * [simplify]: iters left: 2 (251 enodes) 34.033 * * [simplify]: Extracting #0: cost 1 inf + 0 34.033 * * [simplify]: Extracting #1: cost 34 inf + 0 34.033 * * [simplify]: Extracting #2: cost 161 inf + 0 34.034 * * [simplify]: Extracting #3: cost 237 inf + 672 34.035 * * [simplify]: Extracting #4: cost 203 inf + 8246 34.044 * * [simplify]: Extracting #5: cost 98 inf + 42671 34.070 * * [simplify]: Extracting #6: cost 8 inf + 84589 34.095 * * [simplify]: Extracting #7: cost 0 inf + 87864 34.108 * [simplify]: Simplified to (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) 34.108 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (log (exp (+ (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) 1)) 34.109 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 71 / 84 ] simplifiying candidate #real (real->posit16 (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)))) 1))> 34.109 * * * * [progress]: [ 72 / 84 ] simplifiying candidate # 34.109 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 34.109 * [simplify]: Simplifying b 34.109 * * [simplify]: iters left: 0 (1 enodes) 34.110 * * [simplify]: Extracting #0: cost 1 inf + 0 34.110 * * [simplify]: Extracting #1: cost 0 inf + 1 34.110 * [simplify]: Simplified to b 34.110 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow b 4)) 1)) 34.110 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 34.110 * [simplify]: Simplifying a 34.110 * * [simplify]: iters left: 0 (1 enodes) 34.110 * * [simplify]: Extracting #0: cost 1 inf + 0 34.110 * * [simplify]: Extracting #1: cost 0 inf + 1 34.110 * [simplify]: Simplified to a 34.110 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow a 4)) 1)) 34.110 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 34.110 * [simplify]: Simplifying (* -1 a) 34.110 * * [simplify]: iters left: 2 (3 enodes) 34.112 * * [simplify]: iters left: 1 (11 enodes) 34.113 * * [simplify]: Extracting #0: cost 1 inf + 0 34.113 * * [simplify]: Extracting #1: cost 4 inf + 0 34.113 * * [simplify]: Extracting #2: cost 0 inf + 84 34.114 * [simplify]: Simplified to (- a) 34.114 * [simplify]: Simplified (2 1 2 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (- a) 4)) 1)) 34.114 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 34.114 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 34.114 * * [simplify]: iters left: 6 (12 enodes) 34.118 * * [simplify]: iters left: 5 (57 enodes) 34.129 * * [simplify]: iters left: 4 (96 enodes) 34.160 * * [simplify]: iters left: 3 (169 enodes) 34.209 * * [simplify]: iters left: 2 (239 enodes) 34.265 * * [simplify]: iters left: 1 (275 enodes) 34.348 * * [simplify]: Extracting #0: cost 1 inf + 0 34.348 * * [simplify]: Extracting #1: cost 8 inf + 0 34.348 * * [simplify]: Extracting #2: cost 40 inf + 0 34.349 * * [simplify]: Extracting #3: cost 53 inf + 168 34.350 * * [simplify]: Extracting #4: cost 28 inf + 3385 34.353 * * [simplify]: Extracting #5: cost 5 inf + 5794 34.357 * * [simplify]: Extracting #6: cost 0 inf + 6849 34.361 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 34.361 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b)))) 1)) 34.361 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 34.362 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 34.362 * * [simplify]: iters left: 6 (12 enodes) 34.370 * * [simplify]: iters left: 5 (57 enodes) 34.388 * * [simplify]: iters left: 4 (96 enodes) 34.422 * * [simplify]: iters left: 3 (169 enodes) 34.449 * * [simplify]: iters left: 2 (236 enodes) 34.497 * * [simplify]: iters left: 1 (270 enodes) 34.549 * * [simplify]: Extracting #0: cost 1 inf + 0 34.549 * * [simplify]: Extracting #1: cost 8 inf + 0 34.549 * * [simplify]: Extracting #2: cost 39 inf + 0 34.549 * * [simplify]: Extracting #3: cost 54 inf + 4 34.550 * * [simplify]: Extracting #4: cost 40 inf + 2137 34.553 * * [simplify]: Extracting #5: cost 4 inf + 6453 34.557 * * [simplify]: Extracting #6: cost 0 inf + 6723 34.560 * * [simplify]: Extracting #7: cost 0 inf + 6603 34.564 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 34.564 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 34.564 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 34.565 * [simplify]: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) 34.565 * * [simplify]: iters left: 6 (12 enodes) 34.571 * * [simplify]: iters left: 5 (57 enodes) 34.581 * * [simplify]: iters left: 4 (96 enodes) 34.601 * * [simplify]: iters left: 3 (169 enodes) 34.634 * * [simplify]: iters left: 2 (236 enodes) 34.683 * * [simplify]: iters left: 1 (270 enodes) 34.724 * * [simplify]: Extracting #0: cost 1 inf + 0 34.724 * * [simplify]: Extracting #1: cost 8 inf + 0 34.724 * * [simplify]: Extracting #2: cost 39 inf + 0 34.724 * * [simplify]: Extracting #3: cost 54 inf + 4 34.725 * * [simplify]: Extracting #4: cost 40 inf + 2137 34.726 * * [simplify]: Extracting #5: cost 4 inf + 6453 34.728 * * [simplify]: Extracting #6: cost 0 inf + 6723 34.731 * * [simplify]: Extracting #7: cost 0 inf + 6603 34.735 * [simplify]: Simplified to (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b))) 34.735 * [simplify]: Simplified (2 1 2) to (λ (a b) (- (+ (* (* b b) 4) (+ (* (+ (* b (* 2 b)) (* a a)) (* a a)) (* (* b b) (* b b)))) 1)) 34.735 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 34.735 * [simplify]: Simplifying (* 4 (pow b 2)) 34.735 * * [simplify]: iters left: 3 (5 enodes) 34.739 * * [simplify]: iters left: 2 (21 enodes) 34.746 * * [simplify]: iters left: 1 (29 enodes) 34.755 * * [simplify]: Extracting #0: cost 1 inf + 0 34.755 * * [simplify]: Extracting #1: cost 6 inf + 0 34.755 * * [simplify]: Extracting #2: cost 6 inf + 43 34.755 * * [simplify]: Extracting #3: cost 0 inf + 333 34.755 * [simplify]: Simplified to (* (* b b) 4) 34.756 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 34.756 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 34.756 * [simplify]: Simplifying (* 4 (pow b 2)) 34.756 * * [simplify]: iters left: 3 (5 enodes) 34.760 * * [simplify]: iters left: 2 (21 enodes) 34.768 * * [simplify]: iters left: 1 (29 enodes) 34.779 * * [simplify]: Extracting #0: cost 1 inf + 0 34.779 * * [simplify]: Extracting #1: cost 6 inf + 0 34.779 * * [simplify]: Extracting #2: cost 6 inf + 43 34.779 * * [simplify]: Extracting #3: cost 0 inf + 333 34.780 * [simplify]: Simplified to (* (* b b) 4) 34.780 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 34.780 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 34.780 * [simplify]: Simplifying (* 4 (pow b 2)) 34.780 * * [simplify]: iters left: 3 (5 enodes) 34.783 * * [simplify]: iters left: 2 (21 enodes) 34.786 * * [simplify]: iters left: 1 (29 enodes) 34.791 * * [simplify]: Extracting #0: cost 1 inf + 0 34.791 * * [simplify]: Extracting #1: cost 6 inf + 0 34.791 * * [simplify]: Extracting #2: cost 6 inf + 43 34.791 * * [simplify]: Extracting #3: cost 0 inf + 333 34.791 * [simplify]: Simplified to (* (* b b) 4) 34.791 * [simplify]: Simplified (2 1 1) to (λ (a b) (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1)) 34.791 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 34.791 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2)))) 34.791 * * [simplify]: iters left: 6 (12 enodes) 34.795 * * [simplify]: iters left: 5 (56 enodes) 34.805 * * [simplify]: iters left: 4 (102 enodes) 34.824 * * [simplify]: iters left: 3 (198 enodes) 34.879 * * [simplify]: iters left: 2 (311 enodes) 34.968 * * [simplify]: iters left: 1 (364 enodes) 35.040 * * [simplify]: Extracting #0: cost 1 inf + 0 35.040 * * [simplify]: Extracting #1: cost 14 inf + 0 35.040 * * [simplify]: Extracting #2: cost 47 inf + 1 35.041 * * [simplify]: Extracting #3: cost 53 inf + 1068 35.045 * * [simplify]: Extracting #4: cost 7 inf + 7022 35.050 * * [simplify]: Extracting #5: cost 0 inf + 7604 35.055 * * [simplify]: Extracting #6: cost 0 inf + 7484 35.059 * [simplify]: Simplified to (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 35.060 * [simplify]: Simplified (2 1) to (λ (a b) (- (* (+ (* b b) (+ 4 (* 2 (* a a)))) (* b b)) 1)) 35.060 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 35.060 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 35.060 * * [simplify]: iters left: 6 (12 enodes) 35.068 * * [simplify]: iters left: 5 (57 enodes) 35.088 * * [simplify]: iters left: 4 (96 enodes) 35.105 * * [simplify]: iters left: 3 (169 enodes) 35.130 * * [simplify]: iters left: 2 (239 enodes) 35.195 * * [simplify]: iters left: 1 (275 enodes) 35.266 * * [simplify]: Extracting #0: cost 1 inf + 0 35.266 * * [simplify]: Extracting #1: cost 8 inf + 0 35.266 * * [simplify]: Extracting #2: cost 40 inf + 0 35.266 * * [simplify]: Extracting #3: cost 53 inf + 168 35.267 * * [simplify]: Extracting #4: cost 28 inf + 3385 35.269 * * [simplify]: Extracting #5: cost 5 inf + 5794 35.271 * * [simplify]: Extracting #6: cost 0 inf + 6849 35.273 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 35.273 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 35.273 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 35.273 * [simplify]: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 35.274 * * [simplify]: iters left: 6 (12 enodes) 35.278 * * [simplify]: iters left: 5 (57 enodes) 35.294 * * [simplify]: iters left: 4 (96 enodes) 35.311 * * [simplify]: iters left: 3 (169 enodes) 35.344 * * [simplify]: iters left: 2 (239 enodes) 35.400 * * [simplify]: iters left: 1 (275 enodes) 35.468 * * [simplify]: Extracting #0: cost 1 inf + 0 35.468 * * [simplify]: Extracting #1: cost 8 inf + 0 35.468 * * [simplify]: Extracting #2: cost 40 inf + 0 35.469 * * [simplify]: Extracting #3: cost 53 inf + 168 35.469 * * [simplify]: Extracting #4: cost 28 inf + 3385 35.471 * * [simplify]: Extracting #5: cost 5 inf + 5794 35.473 * * [simplify]: Extracting #6: cost 0 inf + 6849 35.475 * [simplify]: Simplified to (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 35.475 * [simplify]: Simplified (2 1) to (λ (a b) (- (+ (* (* a a) (* a a)) (* (+ (* 2 (* a a)) (* b b)) (* b b))) 1)) 35.475 * * * [progress]: adding candidates to table 36.326 * [progress]: [Phase 3 of 3] Extracting. 36.329 * [simplify]: Simplifying (- (+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4)) 1) 36.329 * * [simplify]: iters left: 6 (12 enodes) 36.330 * * [simplify]: iters left: 5 (17 enodes) 36.330 * * [simplify]: Extracting #0: cost 1 inf + 0 36.330 * * [simplify]: Extracting #1: cost 3 inf + 0 36.330 * * [simplify]: Extracting #2: cost 4 inf + 1 36.330 * * [simplify]: Extracting #3: cost 7 inf + 1 36.330 * * [simplify]: Extracting #4: cost 8 inf + 2 36.330 * * [simplify]: Extracting #5: cost 8 inf + 3 36.330 * * [simplify]: Extracting #6: cost 7 inf + 126 36.331 * * [simplify]: Extracting #7: cost 0 inf + 1772 36.331 * [simplify]: Simplified to (- (+ (* 4 (* b b)) (pow (sqrt (+ (* b b) (* a a))) 4)) 1) 40.053 * [regime-testing]: Baseline error score: 0.015294800125540431 40.056 * [regime-testing]: Oracle error score: 0.015294800125540431 40.056 * [regime-testing]: End program error score: 0.015294800125540431