18.195 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.025 * * [simplify]: iteration 0: 5 enodes 0.025 * * [simplify]: iteration 1: 6 enodes 0.026 * * [simplify]: iteration complete: 6 enodes 0.026 * * [simplify]: Extracting #0: cost 1 inf + 0 0.026 * * [simplify]: Extracting #1: cost 2 inf + 0 0.026 * * [simplify]: Extracting #2: cost 4 inf + 0 0.026 * * [simplify]: Extracting #3: cost 4 inf + 1 0.026 * * [simplify]: Extracting #4: cost 3 inf + 2 0.026 * * [simplify]: Extracting #5: cost 0 inf + 16 0.026 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.421 * * * [progress]: generating series expansions 0.421 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.422 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.422 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.422 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [backup-simplify]: Simplify x into x 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.422 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.422 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.422 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [backup-simplify]: Simplify (+ 0 y) into y 0.426 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (+ 0 y) into y 0.427 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.427 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (sqrt 0) into 0 0.429 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.431 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.431 * [taylor]: Taking taylor expansion of 1/2 in y 0.431 * [backup-simplify]: Simplify 1/2 into 1/2 0.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [backup-simplify]: Simplify (sqrt 0) into 0 0.433 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.434 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.435 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.435 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.437 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.438 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.438 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [backup-simplify]: Simplify x into x 0.439 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (+ 0 1) into 1 0.440 * [backup-simplify]: Simplify (sqrt 0) into 0 0.441 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [backup-simplify]: Simplify y into y 0.447 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.448 * [backup-simplify]: Simplify (+ 1 0) into 1 0.448 * [backup-simplify]: Simplify (sqrt 1) into 1 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.451 * [taylor]: Taking taylor expansion of 1 in y 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.454 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.455 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.455 * [taylor]: Taking taylor expansion of 1/2 in y 0.455 * [backup-simplify]: Simplify 1/2 into 1/2 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.455 * [backup-simplify]: Simplify 1/2 into 1/2 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.464 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of -1/8 in y 0.464 * [backup-simplify]: Simplify -1/8 into -1/8 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.468 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.468 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [backup-simplify]: Simplify x into x 0.468 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.468 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (- 1) into -1 0.469 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.470 * [backup-simplify]: Simplify (sqrt 0) into 0 0.471 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.471 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [backup-simplify]: Simplify y into y 0.472 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.476 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [backup-simplify]: Simplify y into y 0.477 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [backup-simplify]: Simplify (sqrt 1) into 1 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.483 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.485 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.485 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.485 * [taylor]: Taking taylor expansion of -1/2 in y 0.485 * [backup-simplify]: Simplify -1/2 into -1/2 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.486 * [backup-simplify]: Simplify -1/2 into -1/2 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.496 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of -1/8 in y 0.496 * [backup-simplify]: Simplify -1/8 into -1/8 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.499 * * * [progress]: simplifying candidates 0.500 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.501 * * [simplify]: iteration 0: 51 enodes 0.519 * * [simplify]: iteration 1: 122 enodes 0.558 * * [simplify]: iteration 2: 454 enodes 1.042 * * [simplify]: iteration 3: 2548 enodes 1.917 * * [simplify]: iteration complete: 5000 enodes 1.917 * * [simplify]: Extracting #0: cost 18 inf + 0 1.917 * * [simplify]: Extracting #1: cost 80 inf + 2 1.919 * * [simplify]: Extracting #2: cost 305 inf + 7 1.925 * * [simplify]: Extracting #3: cost 1653 inf + 322 1.938 * * [simplify]: Extracting #4: cost 864 inf + 5717 1.953 * * [simplify]: Extracting #5: cost 56 inf + 9057 1.975 * * [simplify]: Extracting #6: cost 6 inf + 9313 1.985 * * [simplify]: Extracting #7: cost 2 inf + 9335 1.993 * * [simplify]: Extracting #8: cost 0 inf + 9357 2.001 * [simplify]: Simplified to: (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (pow (sqrt (+ y (* x x))) 3) (fabs (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (* y (- y (* x x))) (pow x 4))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (* +nan.0 (+ (- (* x x) y) (* y (- y)))) (+ (* 1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) 2.001 * * * [progress]: adding candidates to table 2.062 * * [progress]: iteration 2 / 4 2.062 * * * [progress]: picking best candidate 2.067 * * * * [pick]: Picked # 2.067 * * * [progress]: localizing error 2.074 * * * [progress]: generating rewritten candidates 2.074 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.087 * * * [progress]: generating series expansions 2.087 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.087 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 2.087 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 2.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.087 * [taylor]: Taking taylor expansion of 1/2 in x 2.087 * [backup-simplify]: Simplify 1/2 into 1/2 2.087 * [taylor]: Taking taylor expansion of (/ y x) in x 2.087 * [taylor]: Taking taylor expansion of y in x 2.088 * [backup-simplify]: Simplify y into y 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (/ y 1) into y 2.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.088 * [taylor]: Taking taylor expansion of 1/2 in y 2.088 * [backup-simplify]: Simplify 1/2 into 1/2 2.088 * [taylor]: Taking taylor expansion of (/ y x) in y 2.088 * [taylor]: Taking taylor expansion of y in y 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [taylor]: Taking taylor expansion of x in y 2.088 * [backup-simplify]: Simplify x into x 2.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.088 * [taylor]: Taking taylor expansion of 1/2 in y 2.088 * [backup-simplify]: Simplify 1/2 into 1/2 2.088 * [taylor]: Taking taylor expansion of (/ y x) in y 2.088 * [taylor]: Taking taylor expansion of y in y 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [taylor]: Taking taylor expansion of x in y 2.090 * [backup-simplify]: Simplify x into x 2.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.091 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 2.091 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.091 * [taylor]: Taking taylor expansion of 1/2 in x 2.091 * [backup-simplify]: Simplify 1/2 into 1/2 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.091 * [backup-simplify]: Simplify 1/2 into 1/2 2.091 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 2.092 * [taylor]: Taking taylor expansion of 0 in x 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.093 * [taylor]: Taking taylor expansion of 0 in x 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.095 * [taylor]: Taking taylor expansion of 0 in x 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 2.096 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 2.096 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 2.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.096 * [taylor]: Taking taylor expansion of 1/2 in x 2.096 * [backup-simplify]: Simplify 1/2 into 1/2 2.096 * [taylor]: Taking taylor expansion of (/ x y) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [backup-simplify]: Simplify y into y 2.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.096 * [taylor]: Taking taylor expansion of 1/2 in y 2.096 * [backup-simplify]: Simplify 1/2 into 1/2 2.096 * [taylor]: Taking taylor expansion of (/ x y) in y 2.096 * [taylor]: Taking taylor expansion of x in y 2.096 * [backup-simplify]: Simplify x into x 2.096 * [taylor]: Taking taylor expansion of y in y 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (/ x 1) into x 2.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.096 * [taylor]: Taking taylor expansion of 1/2 in y 2.096 * [backup-simplify]: Simplify 1/2 into 1/2 2.096 * [taylor]: Taking taylor expansion of (/ x y) in y 2.096 * [taylor]: Taking taylor expansion of x in y 2.096 * [backup-simplify]: Simplify x into x 2.096 * [taylor]: Taking taylor expansion of y in y 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (/ x 1) into x 2.096 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 2.096 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.096 * [taylor]: Taking taylor expansion of 1/2 in x 2.096 * [backup-simplify]: Simplify 1/2 into 1/2 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.097 * [backup-simplify]: Simplify 1/2 into 1/2 2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 2.098 * [taylor]: Taking taylor expansion of 0 in x 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 2.100 * [taylor]: Taking taylor expansion of 0 in x 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.102 * [taylor]: Taking taylor expansion of 0 in x 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 2.103 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 2.103 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 2.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.103 * [taylor]: Taking taylor expansion of 1/2 in x 2.103 * [backup-simplify]: Simplify 1/2 into 1/2 2.103 * [taylor]: Taking taylor expansion of (/ x y) in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [taylor]: Taking taylor expansion of y in x 2.103 * [backup-simplify]: Simplify y into y 2.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.103 * [taylor]: Taking taylor expansion of 1/2 in y 2.103 * [backup-simplify]: Simplify 1/2 into 1/2 2.103 * [taylor]: Taking taylor expansion of (/ x y) in y 2.103 * [taylor]: Taking taylor expansion of x in y 2.103 * [backup-simplify]: Simplify x into x 2.103 * [taylor]: Taking taylor expansion of y in y 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (/ x 1) into x 2.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.103 * [taylor]: Taking taylor expansion of 1/2 in y 2.103 * [backup-simplify]: Simplify 1/2 into 1/2 2.103 * [taylor]: Taking taylor expansion of (/ x y) in y 2.103 * [taylor]: Taking taylor expansion of x in y 2.103 * [backup-simplify]: Simplify x into x 2.103 * [taylor]: Taking taylor expansion of y in y 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (/ x 1) into x 2.103 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 2.103 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.103 * [taylor]: Taking taylor expansion of 1/2 in x 2.103 * [backup-simplify]: Simplify 1/2 into 1/2 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.104 * [backup-simplify]: Simplify 1/2 into 1/2 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 2.105 * [taylor]: Taking taylor expansion of 0 in x 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in x 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.113 * [taylor]: Taking taylor expansion of 0 in x 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 2.113 * * * [progress]: simplifying candidates 2.114 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 2.115 * * [simplify]: iteration 0: 68 enodes 2.148 * * [simplify]: iteration 1: 178 enodes 2.225 * * [simplify]: iteration 2: 572 enodes 2.691 * * [simplify]: iteration 3: 2504 enodes 3.582 * * [simplify]: iteration complete: 5000 enodes 3.582 * * [simplify]: Extracting #0: cost 23 inf + 0 3.584 * * [simplify]: Extracting #1: cost 922 inf + 1 3.589 * * [simplify]: Extracting #2: cost 1379 inf + 440 3.597 * * [simplify]: Extracting #3: cost 388 inf + 6686 3.602 * * [simplify]: Extracting #4: cost 28 inf + 9521 3.607 * * [simplify]: Extracting #5: cost 2 inf + 9686 3.612 * * [simplify]: Extracting #6: cost 0 inf + 9703 3.617 * [simplify]: Simplified to: (* (/ y x) 1/2) (log (* (/ y x) 1/2)) (log (* (/ y x) 1/2)) (log (* (/ y x) 1/2)) (sqrt (exp (/ y x))) (pow (* (/ y x) 1/2) 3) (pow (* (/ y x) 1/2) 3) (* (cbrt (* (/ y x) 1/2)) (cbrt (* (/ y x) 1/2))) (cbrt (* (/ y x) 1/2)) (pow (* (/ y x) 1/2) 3) (sqrt (* (/ y x) 1/2)) (sqrt (* (/ y x) 1/2)) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (/ (sqrt 1/2) (sqrt x)) (sqrt y)) (* (/ (sqrt 1/2) (sqrt x)) (sqrt y)) (* (cbrt (/ y x)) (* (cbrt (/ y x)) 1/2)) (* (sqrt (/ y x)) 1/2) (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (/ 1/2 (cbrt x))) (* (* 1/2 (/ (cbrt y) (sqrt x))) (cbrt y)) (* (* 1/2 (cbrt y)) (cbrt y)) (* (/ 1/2 (cbrt x)) (/ (sqrt y) (cbrt x))) (/ (sqrt y) (/ (sqrt x) 1/2)) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (/ (cbrt 1/2) x) y) (/ y (/ x (sqrt 1/2))) (* (/ y x) 1/2) (* 1/2 y) (* (/ y x) 1/2) (* (/ y x) 1/2) (* (/ y x) 1/2) 3.617 * * * [progress]: adding candidates to table 3.736 * * [progress]: iteration 3 / 4 3.736 * * * [progress]: picking best candidate 3.738 * * * * [pick]: Picked # 3.738 * * * [progress]: localizing error 3.747 * * * [progress]: generating rewritten candidates 3.747 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.764 * * * [progress]: generating series expansions 3.764 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.764 * [backup-simplify]: Simplify (* -1/2 (/ y x)) into (* -1/2 (/ y x)) 3.764 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 3.764 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.764 * [taylor]: Taking taylor expansion of -1/2 in x 3.764 * [backup-simplify]: Simplify -1/2 into -1/2 3.764 * [taylor]: Taking taylor expansion of (/ y x) in x 3.764 * [taylor]: Taking taylor expansion of y in x 3.764 * [backup-simplify]: Simplify y into y 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ y 1) into y 3.764 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.764 * [taylor]: Taking taylor expansion of -1/2 in y 3.764 * [backup-simplify]: Simplify -1/2 into -1/2 3.764 * [taylor]: Taking taylor expansion of (/ y x) in y 3.764 * [taylor]: Taking taylor expansion of y in y 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [taylor]: Taking taylor expansion of x in y 3.764 * [backup-simplify]: Simplify x into x 3.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.764 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.764 * [taylor]: Taking taylor expansion of -1/2 in y 3.764 * [backup-simplify]: Simplify -1/2 into -1/2 3.764 * [taylor]: Taking taylor expansion of (/ y x) in y 3.764 * [taylor]: Taking taylor expansion of y in y 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [taylor]: Taking taylor expansion of x in y 3.764 * [backup-simplify]: Simplify x into x 3.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.764 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x) 3.764 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.764 * [taylor]: Taking taylor expansion of -1/2 in x 3.764 * [backup-simplify]: Simplify -1/2 into -1/2 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.765 * [backup-simplify]: Simplify -1/2 into -1/2 3.765 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.766 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0 3.766 * [taylor]: Taking taylor expansion of 0 in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.767 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.767 * [taylor]: Taking taylor expansion of 0 in x 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.769 * [taylor]: Taking taylor expansion of 0 in x 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x)) 3.769 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 y) (/ 1 x))) into (* -1/2 (/ x y)) 3.769 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.769 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.769 * [taylor]: Taking taylor expansion of -1/2 in x 3.770 * [backup-simplify]: Simplify -1/2 into -1/2 3.770 * [taylor]: Taking taylor expansion of (/ x y) in x 3.770 * [taylor]: Taking taylor expansion of x in x 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [taylor]: Taking taylor expansion of y in x 3.770 * [backup-simplify]: Simplify y into y 3.770 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.770 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.770 * [taylor]: Taking taylor expansion of -1/2 in y 3.770 * [backup-simplify]: Simplify -1/2 into -1/2 3.770 * [taylor]: Taking taylor expansion of (/ x y) in y 3.770 * [taylor]: Taking taylor expansion of x in y 3.770 * [backup-simplify]: Simplify x into x 3.770 * [taylor]: Taking taylor expansion of y in y 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (/ x 1) into x 3.770 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.770 * [taylor]: Taking taylor expansion of -1/2 in y 3.770 * [backup-simplify]: Simplify -1/2 into -1/2 3.770 * [taylor]: Taking taylor expansion of (/ x y) in y 3.770 * [taylor]: Taking taylor expansion of x in y 3.770 * [backup-simplify]: Simplify x into x 3.770 * [taylor]: Taking taylor expansion of y in y 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (/ x 1) into x 3.770 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 3.770 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.770 * [taylor]: Taking taylor expansion of -1/2 in x 3.770 * [backup-simplify]: Simplify -1/2 into -1/2 3.770 * [taylor]: Taking taylor expansion of x in x 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.771 * [backup-simplify]: Simplify -1/2 into -1/2 3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 3.771 * [taylor]: Taking taylor expansion of 0 in x 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.772 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.774 * [taylor]: Taking taylor expansion of 0 in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.776 * [taylor]: Taking taylor expansion of 0 in x 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x)) 3.776 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* -1/2 (/ x y)) 3.776 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.776 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.777 * [taylor]: Taking taylor expansion of -1/2 in x 3.777 * [backup-simplify]: Simplify -1/2 into -1/2 3.777 * [taylor]: Taking taylor expansion of (/ x y) in x 3.777 * [taylor]: Taking taylor expansion of x in x 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [taylor]: Taking taylor expansion of y in x 3.777 * [backup-simplify]: Simplify y into y 3.777 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.777 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.777 * [taylor]: Taking taylor expansion of -1/2 in y 3.777 * [backup-simplify]: Simplify -1/2 into -1/2 3.777 * [taylor]: Taking taylor expansion of (/ x y) in y 3.777 * [taylor]: Taking taylor expansion of x in y 3.777 * [backup-simplify]: Simplify x into x 3.777 * [taylor]: Taking taylor expansion of y in y 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ x 1) into x 3.777 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.777 * [taylor]: Taking taylor expansion of -1/2 in y 3.777 * [backup-simplify]: Simplify -1/2 into -1/2 3.777 * [taylor]: Taking taylor expansion of (/ x y) in y 3.777 * [taylor]: Taking taylor expansion of x in y 3.777 * [backup-simplify]: Simplify x into x 3.777 * [taylor]: Taking taylor expansion of y in y 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ x 1) into x 3.777 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 3.777 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.777 * [taylor]: Taking taylor expansion of -1/2 in x 3.777 * [backup-simplify]: Simplify -1/2 into -1/2 3.777 * [taylor]: Taking taylor expansion of x in x 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.778 * [backup-simplify]: Simplify -1/2 into -1/2 3.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 3.778 * [taylor]: Taking taylor expansion of 0 in x 3.778 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.780 * [taylor]: Taking taylor expansion of 0 in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.783 * [taylor]: Taking taylor expansion of 0 in x 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x)) 3.783 * * * [progress]: simplifying candidates 3.784 * [simplify]: Simplifying: (* -1/2 (/ y x)) (+ (log -1/2) (- (log y) (log x))) (+ (log -1/2) (log (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (/ (sqrt y) 1)) (* -1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* -1/2 (/ 1 (sqrt x))) (* -1/2 (/ 1 1)) (* -1/2 1) (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 3.784 * * [simplify]: iteration 0: 68 enodes 3.817 * * [simplify]: iteration 1: 178 enodes 3.900 * * [simplify]: iteration 2: 572 enodes 4.493 * * [simplify]: iteration 3: 2505 enodes 5.349 * * [simplify]: iteration complete: 5001 enodes 5.349 * * [simplify]: Extracting #0: cost 23 inf + 0 5.354 * * [simplify]: Extracting #1: cost 916 inf + 1 5.363 * * [simplify]: Extracting #2: cost 1383 inf + 425 5.372 * * [simplify]: Extracting #3: cost 454 inf + 6493 5.382 * * [simplify]: Extracting #4: cost 32 inf + 9728 5.392 * * [simplify]: Extracting #5: cost 4 inf + 9931 5.402 * * [simplify]: Extracting #6: cost 0 inf + 9969 5.411 * [simplify]: Simplified to: (* (/ y x) -1/2) (log (* (/ y x) -1/2)) (log (* (/ y x) -1/2)) (log (* (/ y x) -1/2)) (pow (exp -1/2) (/ y x)) (pow (* (/ y x) -1/2) 3) (pow (* (/ y x) -1/2) 3) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (pow (* (/ y x) -1/2) 3) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (* (cbrt (/ y x)) (* (cbrt (/ y x)) -1/2)) (* (sqrt (/ y x)) -1/2) (* (/ (* (cbrt y) (cbrt y)) (cbrt x)) (/ -1/2 (cbrt x))) (* (/ (* (cbrt y) -1/2) (sqrt x)) (cbrt y)) (* (* -1/2 (cbrt y)) (cbrt y)) (* (/ -1/2 (cbrt x)) (/ (sqrt y) (cbrt x))) (* (/ -1/2 (sqrt x)) (sqrt y)) (* -1/2 (sqrt y)) (/ -1/2 (* (cbrt x) (cbrt x))) (/ -1/2 (sqrt x)) -1/2 -1/2 (* -1/2 y) (/ y (/ x (cbrt -1/2))) (* (/ (sqrt -1/2) x) y) (* (/ y x) -1/2) (* -1/2 y) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) 5.411 * * * [progress]: adding candidates to table 5.532 * [progress]: [Phase 3 of 3] Extracting. 5.532 * * [regime]: Finding splitpoints for: (# # #) 5.533 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 5.533 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 5.570 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 5.610 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 5.652 * * * * [regimes]: Trying to branch on y from (# # #) 5.692 * * * * [regimes]: Trying to branch on x from (# # #) 5.770 * * * [regime]: Found split indices: #