39.857 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.036 * * [simplify]: iteration 0: 4 enodes 0.038 * * [simplify]: iteration 1: 11 enodes 0.043 * * [simplify]: iteration 2: 27 enodes 0.072 * * [simplify]: iteration 3: 65 enodes 0.098 * * [simplify]: iteration 4: 110 enodes 0.143 * * [simplify]: iteration 5: 140 enodes 0.190 * * [simplify]: iteration 6: 160 enodes 0.234 * * [simplify]: iteration 7: 174 enodes 0.271 * * [simplify]: iteration complete: 174 enodes 0.271 * * [simplify]: Extracting #0: cost 1 inf + 0 0.271 * * [simplify]: Extracting #1: cost 19 inf + 0 0.272 * * [simplify]: Extracting #2: cost 15 inf + 44 0.273 * * [simplify]: Extracting #3: cost 0 inf + 1125 0.274 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.276 * * [progress]: iteration 1 / 4 0.276 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.295 * * * [progress]: generating rewritten candidates 0.295 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.379 * * * [progress]: generating series expansions 0.379 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.379 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.379 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.379 * [taylor]: Taking taylor expansion of (+ x y) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [backup-simplify]: Simplify x into x 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (+ x 0) into x 0.380 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.380 * [taylor]: Taking taylor expansion of (+ x y) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [backup-simplify]: Simplify y into y 0.380 * [backup-simplify]: Simplify (+ 0 y) into y 0.380 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.380 * [taylor]: Taking taylor expansion of (+ x y) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [backup-simplify]: Simplify y into y 0.380 * [backup-simplify]: Simplify (+ 0 y) into y 0.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.382 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.382 * [taylor]: Taking taylor expansion of 2 in y 0.382 * [backup-simplify]: Simplify 2 into 2 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 2 0) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.384 * [taylor]: Taking taylor expansion of 1 in y 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.385 * [backup-simplify]: Simplify 2 into 2 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.386 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.386 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [backup-simplify]: Simplify x into x 0.387 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.388 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [backup-simplify]: Simplify y into y 0.388 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ 0 1) into 1 0.390 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [backup-simplify]: Simplify y into y 0.390 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.393 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.393 * [taylor]: Taking taylor expansion of 2 in y 0.393 * [backup-simplify]: Simplify 2 into 2 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* 2 1) into 2 0.399 * [backup-simplify]: Simplify 2 into 2 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.400 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.400 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [backup-simplify]: Simplify x into x 0.401 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [backup-simplify]: Simplify y into y 0.402 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [backup-simplify]: Simplify (+ 0 1) into 1 0.403 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [backup-simplify]: Simplify (+ 0 1) into 1 0.405 * [backup-simplify]: Simplify (* 1 1) into 1 0.405 * [taylor]: Taking taylor expansion of 1 in y 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.407 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.407 * [taylor]: Taking taylor expansion of 2 in y 0.407 * [backup-simplify]: Simplify 2 into 2 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 2 1) into 2 0.413 * [backup-simplify]: Simplify 2 into 2 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.414 * * * [progress]: simplifying candidates 0.415 * [simplify]: Simplifying: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.417 * * [simplify]: iteration 0: 64 enodes 0.457 * * [simplify]: iteration 1: 230 enodes 0.708 * * [simplify]: iteration 2: 833 enodes 2.307 * * [simplify]: iteration 3: 4152 enodes