0.640 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.333 * * * [progress]: [2/2] Setting up program. 0.336 * [progress]: [Phase 2 of 3] Improving. 0.339 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.339 * [simplify]: Sending expressions to egg_math: (* (sqrt (- h0 h1)) (sqrt h0)) 0.363 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.364 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.365 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.367 * * [progress]: iteration 1 / 4 0.367 * * * [progress]: picking best candidate 0.369 * * * * [pick]: Picked # 0.369 * * * [progress]: localizing error 0.377 * * * [progress]: generating rewritten candidates 0.377 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.407 * * * [progress]: generating series expansions 0.408 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.414 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x)) 0.414 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.415 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.415 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [backup-simplify]: Simplify 1.0 into 1.0 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.416 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.417 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.419 * [backup-simplify]: Simplify (sqrt 0) into 0 0.420 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.420 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.420 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.420 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [backup-simplify]: Simplify 1.0 into 1.0 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.420 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.421 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.422 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.422 * [backup-simplify]: Simplify (sqrt 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 0.427 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.428 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.431 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.432 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) 0.432 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.432 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [backup-simplify]: Simplify 1.0 into 1.0 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (sqrt 1) into 1 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.435 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.436 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.437 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.437 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [backup-simplify]: Simplify 1.0 into 1.0 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (sqrt 1) into 1 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.440 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.441 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.442 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify -0.5 into -0.5 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.445 * [backup-simplify]: Simplify -0.125 into -0.125 0.445 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 0.445 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) 0.445 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.445 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.445 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.445 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [backup-simplify]: Simplify 1.0 into 1.0 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [backup-simplify]: Simplify (- 1) into -1 0.446 * [backup-simplify]: Simplify (sqrt 0) into 0 0.447 * [backup-simplify]: Simplify (- 1) into -1 0.447 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [backup-simplify]: Simplify (sqrt 0) into 0 0.449 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.449 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.449 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [backup-simplify]: Simplify 1.0 into 1.0 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [backup-simplify]: Simplify (+ 0 1) into 1 0.450 * [backup-simplify]: Simplify (- 1) into -1 0.450 * [backup-simplify]: Simplify (sqrt 0) into 0 0.450 * [backup-simplify]: Simplify (- 1) into -1 0.451 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ -1 1) into -1 0.457 * [backup-simplify]: Simplify (sqrt 0) into 0 0.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.458 * [backup-simplify]: Simplify (* 0 0) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.461 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.463 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.465 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.465 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.472 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.473 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.482 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.482 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.483 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.483 * * * [progress]: simplifying candidates 0.484 * [simplify]: Simplifying: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.484 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt (- h0 h1)) (sqrt h0))) (log1p (* (sqrt (- h0 h1)) (sqrt h0))) (* (- h0 h1) h0) (* (sqrt (- h0 h1)) (sqrt h0)) (* (- h0 h1) h0) (+ (log (sqrt (- h0 h1))) (log (sqrt h0))) (log (* (sqrt (- h0 h1)) (sqrt h0))) (exp (* (sqrt (- h0 h1)) (sqrt h0))) (* (* (* (sqrt (- h0 h1)) (sqrt (- h0 h1))) (sqrt (- h0 h1))) (* (* (sqrt h0) (sqrt h0)) (sqrt h0))) (* (cbrt (* (sqrt (- h0 h1)) (sqrt h0))) (cbrt (* (sqrt (- h0 h1)) (sqrt h0)))) (cbrt (* (sqrt (- h0 h1)) (sqrt h0))) (* (* (* (sqrt (- h0 h1)) (sqrt h0)) (* (sqrt (- h0 h1)) (sqrt h0))) (* (sqrt (- h0 h1)) (sqrt h0))) (* (- h0 h1) h0) (sqrt (* (sqrt (- h0 h1)) (sqrt h0))) (sqrt (* (sqrt (- h0 h1)) (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0))) (* (sqrt (- h0 h1)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (* (sqrt (- h0 h1)) (sqrt (* (cbrt h0) (cbrt h0)))) (* (sqrt (- h0 h1)) (sqrt (sqrt h0))) (* (sqrt (- h0 h1)) (sqrt 1)) (* (sqrt (- h0 h1)) (sqrt (sqrt h0))) (* (sqrt (- h0 h1)) 1) (* (cbrt (sqrt (- h0 h1))) (sqrt h0)) (* (sqrt (cbrt (- h0 h1))) (sqrt h0)) (* (sqrt (sqrt (- h0 h1))) (sqrt h0)) (* (sqrt (- h0 h1)) (sqrt h0)) (* (sqrt (- (sqrt h0) (sqrt h1))) (sqrt h0)) (* (sqrt (- h0 h1)) (sqrt h0)) (* (sqrt (sqrt (- h0 h1))) (sqrt h0)) (* (sqrt (- h0 h1)) (sqrt h0)) (* (sqrt (- (pow h0 3) (pow h1 3))) (sqrt h0)) (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt h0)) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0)))))) (- h0 (+ h3 (* h4 (/ 1 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.487 * * [simplify]: iteration 0 : 188 enodes (cost 226 ) 0.491 * * [simplify]: iteration 1 : 635 enodes (cost 215 ) 0.504 * * [simplify]: iteration 2 : 2636 enodes (cost 210 ) 0.558 * * [simplify]: iteration 3 : 5002 enodes (cost 210 ) 0.559 * * * [progress]: adding candidates to table 0.628 * * [progress]: iteration 2 / 4 0.628 * * * [progress]: picking best candidate 0.631 * * * * [pick]: Picked # 0.631 * * * [progress]: localizing error 0.636 * * * [progress]: generating rewritten candidates 0.636 * * * [progress]: generating series expansions 0.636 * * * [progress]: simplifying candidates 0.636 * [simplify]: Simplifying: 0.636 * [simplify]: Sending expressions to egg_math: 0.638 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.638 * * * [progress]: adding candidates to table 0.639 * * [progress]: iteration 3 / 4 0.639 * * * [progress]: picking best candidate 0.640 * * * * [pick]: Picked # 0.640 * * * [progress]: localizing error 0.649 * * * [progress]: generating rewritten candidates 0.649 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.665 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.666 * [backup-simplify]: Simplify (pow (* (- x 1.0) x) (/ 1 2)) into (pow (* (- x 1.0) x) 1/2) 0.666 * [approximate]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in (x) around 0 0.666 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 0.666 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 0.666 * [taylor]: Taking taylor expansion of 1/2 in x 0.666 * [backup-simplify]: Simplify 1/2 into 1/2 0.666 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.666 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.666 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [backup-simplify]: Simplify 1.0 into 1.0 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.667 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.667 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 1 0) into 1 0.669 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.670 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 0.670 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log (- 1.0))) into (+ (log (- 1.0)) (log x)) 0.671 * [backup-simplify]: Simplify (* 1/2 (+ (log (- 1.0)) (log x))) into (* 1/2 (+ (log (- 1.0)) (log x))) 0.671 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log (- 1.0)) (log x)))) into (exp (* 1/2 (+ (log (- 1.0)) (log x)))) 0.672 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 0.672 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 0.672 * [taylor]: Taking taylor expansion of 1/2 in x 0.672 * [backup-simplify]: Simplify 1/2 into 1/2 0.672 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.672 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.672 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [backup-simplify]: Simplify 1.0 into 1.0 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.672 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.673 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify (+ 1 0) into 1 0.674 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.675 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 0.675 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log (- 1.0))) into (+ (log (- 1.0)) (log x)) 0.676 * [backup-simplify]: Simplify (* 1/2 (+ (log (- 1.0)) (log x))) into (* 1/2 (+ (log (- 1.0)) (log x))) 0.676 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log (- 1.0)) (log x)))) into (exp (* 1/2 (+ (log (- 1.0)) (log x)))) 0.677 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log (- 1.0)) (log x)))) into (exp (* 1/2 (+ (log (- 1.0)) (log x)))) 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 0.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- 1.0) 1)))) 1) into -1.0 0.683 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log (- 1.0))) into (+ (log (- 1.0)) (log x)) 0.683 * [backup-simplify]: Simplify (+ (* 1/2 -1.0) (* 0 (+ (log (- 1.0)) (log x)))) into (- 0.5) 0.686 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log (- 1.0)) (log x)))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/2 (+ (log (- 1.0)) (log x))))) 0.686 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/2 (+ (log (- 1.0)) (log x))))) into (* -0.5 (exp (* 1/2 (+ (log (- 1.0)) (log x))))) 0.687 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0) 1)))) 2) into (/ -1/2 (pow -1.0 2)) 0.695 * [backup-simplify]: Simplify (+ (* (- -1) (log x)) (log (- 1.0))) into (+ (log (- 1.0)) (log x)) 0.696 * [backup-simplify]: Simplify (+ (* 1/2 (/ -1/2 (pow -1.0 2))) (+ (* 0 -1.0) (* 0 (+ (log (- 1.0)) (log x))))) into (- (* 1/4 (/ 1 (pow -1.0 2)))) 0.703 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log (- 1.0)) (log x)))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow -1.0 2)))) 1) 1)))) into (* (- 0.125 (* 1/4 (/ 1 (pow -1.0 2)))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) 0.705 * [backup-simplify]: Simplify (* (- 0.125 (* 1/4 (/ 1 (pow -1.0 2)))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) into (* (- 0.125 (* 1/4 (/ 1 (pow -1.0 2)))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) 0.708 * [backup-simplify]: Simplify (+ (* (* (- 0.125 (* 1/4 (/ 1 (pow -1.0 2)))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (pow x 2)) (+ (* (* -0.5 (exp (* 1/2 (+ (log (- 1.0)) (log x))))) x) (exp (* 1/2 (+ (log (- 1.0)) (log x)))))) into (- (+ (* 0.125 (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x)))))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (+ (* 1/4 (/ (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (pow -1.0 2))) (* 0.5 (* x (exp (* 1/2 (+ (log (- 1.0)) (log x)))))))) 0.709 * [backup-simplify]: Simplify (pow (* (- (/ 1 x) 1.0) (/ 1 x)) (/ 1 2)) into (pow (/ (- (/ 1 x) 1.0) x) 1/2) 0.709 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in (x) around 0 0.709 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 0.709 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.709 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 0.709 * [taylor]: Taking taylor expansion of 1/2 in x 0.709 * [backup-simplify]: Simplify 1/2 into 1/2 0.709 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [backup-simplify]: Simplify 1.0 into 1.0 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (+ 1 0) into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (log 1) into 0 0.710 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.710 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x)) 0.710 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 0.710 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 0.710 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.710 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 0.710 * [taylor]: Taking taylor expansion of 1/2 in x 0.710 * [backup-simplify]: Simplify 1/2 into 1/2 0.710 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [backup-simplify]: Simplify 1.0 into 1.0 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (+ 1 0) into 1 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [backup-simplify]: Simplify (log 1) into 0 0.712 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.712 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x)) 0.712 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 0.712 * [backup-simplify]: Simplify (pow x -1) into (pow x -1) 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.713 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.714 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.718 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.719 * [backup-simplify]: Simplify (+ (* 1/2 -1.0) (* 0 (- (* 2 (log x))))) into (- 0.5) 0.721 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (/ -0.5 x) 0.721 * [backup-simplify]: Simplify (/ -0.5 x) into (/ -0.5 x) 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.729 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.729 * [backup-simplify]: Simplify (+ (* 1/2 -0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log x)))))) into (- 0.25) 0.733 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 0.25) 1) 1)))) into (/ -0.125 x) 0.733 * [backup-simplify]: Simplify (/ -0.125 x) into (/ -0.125 x) 0.733 * [backup-simplify]: Simplify (+ (* (/ -0.125 (/ 1 x)) (pow (/ 1 x) 2)) (+ (* (/ -0.5 (/ 1 x)) (/ 1 x)) (pow (/ 1 x) -1))) into (- (pow (/ 1 x) -1) (+ 0.5 (* 0.125 (/ 1 x)))) 0.733 * [backup-simplify]: Simplify (pow (* (- (/ 1 (- x)) 1.0) (/ 1 (- x))) (/ 1 2)) into (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) 0.734 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 0.734 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 0.734 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 0.734 * [taylor]: Taking taylor expansion of 1/2 in x 0.734 * [backup-simplify]: Simplify 1/2 into 1/2 0.734 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.734 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [backup-simplify]: Simplify 1.0 into 1.0 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (+ 0 1) into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [backup-simplify]: Simplify (log 1) into 0 0.735 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.735 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x)) 0.735 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 0.735 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 0.735 * [taylor]: Taking taylor expansion of 1/2 in x 0.735 * [backup-simplify]: Simplify 1/2 into 1/2 0.735 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.735 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [backup-simplify]: Simplify 1.0 into 1.0 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (+ 0 1) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [backup-simplify]: Simplify (log 1) into 0 0.737 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.737 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log x)))) into (* -1 (log x)) 0.737 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 0.737 * [backup-simplify]: Simplify (pow x -1) into (pow x -1) 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.739 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.742 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.742 * [backup-simplify]: Simplify (+ (* 1/2 1.0) (* 0 (- (* 2 (log x))))) into 0.5 0.744 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0.5 1) 1)))) into (/ 0.5 x) 0.744 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.754 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.754 * [backup-simplify]: Simplify (+ (* 1/2 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log x)))))) into (- 0.25) 0.757 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0.5 2) 2)) (* (/ (pow (- 0.25) 1) 1)))) into (/ -0.125 x) 0.757 * [backup-simplify]: Simplify (/ -0.125 x) into (/ -0.125 x) 0.758 * [backup-simplify]: Simplify (+ (* (/ -0.125 (/ 1 (- x))) (pow (/ 1 (- x)) 2)) (+ (* (/ 0.5 (/ 1 (- x))) (/ 1 (- x))) (pow (/ 1 (- x)) -1))) into (+ 0.5 (+ (pow (/ -1 x) -1) (* 0.125 (/ 1 x)))) 0.758 * * * [progress]: simplifying candidates 0.758 * [simplify]: Simplifying: (expm1 (pow (* (- x 1.0) x) (/ 1 2))) (log1p (pow (* (- x 1.0) x) (/ 1 2))) (* (+ (log (- x 1.0)) (log x)) (/ 1 2)) (* (log (* (- x 1.0) x)) (/ 1 2)) (* (log (* (- x 1.0) x)) (/ 1 2)) (* 1 (/ 1 2)) (* 1 (/ 1 2)) (pow (* (- x 1.0) x) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (pow (* (- x 1.0) x) (sqrt (/ 1 2))) (pow (* (- x 1.0) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2)))) (pow (* (- x 1.0) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt 2))) (pow (* (- x 1.0) x) (/ (* (cbrt 1) (cbrt 1)) 1)) (pow (* (- x 1.0) x) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (pow (* (- x 1.0) x) (/ (sqrt 1) (sqrt 2))) (pow (* (- x 1.0) x) (/ (sqrt 1) 1)) (pow (* (- x 1.0) x) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (- x 1.0) x) (/ 1 (sqrt 2))) (pow (* (- x 1.0) x) (/ 1 1)) (pow (* (- x 1.0) x) 1) (pow (* (- x 1.0) x) 1) (pow (- x 1.0) (/ 1 2)) (pow x (/ 1 2)) (log (pow (* (- x 1.0) x) (/ 1 2))) (exp (pow (* (- x 1.0) x) (/ 1 2))) (* (cbrt (pow (* (- x 1.0) x) (/ 1 2))) (cbrt (pow (* (- x 1.0) x) (/ 1 2)))) (cbrt (pow (* (- x 1.0) x) (/ 1 2))) (* (* (pow (* (- x 1.0) x) (/ 1 2)) (pow (* (- x 1.0) x) (/ 1 2))) (pow (* (- x 1.0) x) (/ 1 2))) (sqrt (pow (* (- x 1.0) x) (/ 1 2))) (sqrt (pow (* (- x 1.0) x) (/ 1 2))) (pow (* (- x 1.0) x) (/ (/ 1 2) 2)) (pow (* (- x 1.0) x) (/ (/ 1 2) 2)) (- (+ (* 0.125 (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x)))))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (+ (* 1/4 (/ (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (pow -1.0 2))) (* 0.5 (* x (exp (* 1/2 (+ (log (- 1.0)) (log x)))))))) (- (pow (/ 1 x) -1) (+ 0.5 (* 0.125 (/ 1 x)))) (+ 0.5 (+ (pow (/ -1 x) -1) (* 0.125 (/ 1 x)))) 0.759 * [simplify]: Sending expressions to egg_math: (expm1 (pow (* (- h0 h1) h0) (/ 1 2))) (log1p (pow (* (- h0 h1) h0) (/ 1 2))) (* (+ (log (- h0 h1)) (log h0)) (/ 1 2)) (* (log (* (- h0 h1) h0)) (/ 1 2)) (* (log (* (- h0 h1) h0)) (/ 1 2)) (* 1 (/ 1 2)) (* 1 (/ 1 2)) (pow (* (- h0 h1) h0) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (pow (* (- h0 h1) h0) (sqrt (/ 1 2))) (pow (* (- h0 h1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2)))) (pow (* (- h0 h1) h0) (/ (* (cbrt 1) (cbrt 1)) (sqrt 2))) (pow (* (- h0 h1) h0) (/ (* (cbrt 1) (cbrt 1)) 1)) (pow (* (- h0 h1) h0) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (pow (* (- h0 h1) h0) (/ (sqrt 1) (sqrt 2))) (pow (* (- h0 h1) h0) (/ (sqrt 1) 1)) (pow (* (- h0 h1) h0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (- h0 h1) h0) (/ 1 (sqrt 2))) (pow (* (- h0 h1) h0) (/ 1 1)) (pow (* (- h0 h1) h0) 1) (pow (* (- h0 h1) h0) 1) (pow (- h0 h1) (/ 1 2)) (pow h0 (/ 1 2)) (log (pow (* (- h0 h1) h0) (/ 1 2))) (exp (pow (* (- h0 h1) h0) (/ 1 2))) (* (cbrt (pow (* (- h0 h1) h0) (/ 1 2))) (cbrt (pow (* (- h0 h1) h0) (/ 1 2)))) (cbrt (pow (* (- h0 h1) h0) (/ 1 2))) (* (* (pow (* (- h0 h1) h0) (/ 1 2)) (pow (* (- h0 h1) h0) (/ 1 2))) (pow (* (- h0 h1) h0) (/ 1 2))) (sqrt (pow (* (- h0 h1) h0) (/ 1 2))) (sqrt (pow (* (- h0 h1) h0) (/ 1 2))) (pow (* (- h0 h1) h0) (/ (/ 1 2) 2)) (pow (* (- h0 h1) h0) (/ (/ 1 2) 2)) (- (+ (* h2 (* (pow h0 2) (exp (* 1/2 (+ (log (- h1)) (log h0)))))) (exp (* 1/2 (+ (log (- h1)) (log h0))))) (+ (* 1/4 (/ (* (pow h0 2) (exp (* 1/2 (+ (log (- h1)) (log h0))))) (pow h3 2))) (* h4 (* h0 (exp (* 1/2 (+ (log (- h1)) (log h0)))))))) (- (pow (/ 1 h0) -1) (+ h4 (* h2 (/ 1 h0)))) (+ h4 (+ (pow (/ -1 h0) -1) (* h2 (/ 1 h0)))) 0.762 * * [simplify]: iteration 0 : 227 enodes (cost 185 ) 0.767 * * [simplify]: iteration 1 : 789 enodes (cost 168 ) 0.787 * * [simplify]: iteration 2 : 4423 enodes (cost 144 ) 0.900 * * [simplify]: iteration 3 : 5001 enodes (cost 143 ) 0.901 * * * [progress]: adding candidates to table 0.958 * [progress]: [Phase 3 of 3] Extracting. 0.958 * * [regime]: Finding splitpoints for: (# # #) 0.959 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.959 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 0.978 * * * * [regimes]: Trying to branch on x from (# # #) 0.989 * * * [regime]: Found split indices: #