| 64× | intervals |
| 38.7s | 269429× | body | 80 | valid |
| 12.6s | 13917× | body | 1280 | valid |
| 7.3s | 16851× | body | 160 | valid |
| 5.6s | 3921× | body | 2560 | valid |
| 5.2s | 9428× | body | 640 | valid |
| 3.6s | 1998× | body | 10240 | exit |
| 3.3s | 75774× | pre | 80 | true |
| 2.9s | 6772× | body | 320 | valid |
| 2.9s | 19322× | body | 80 | nan |
| 303.0ms | 261× | body | 5120 | valid |
| 107× | rewrite-expression-head |
332 calls:
| 3.0s | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) (+ 1 (* x1 x1))) (* x1 2)) (* (* x1 x1) 3))) |
| 2.9s | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) (+ 1 (* x1 x1))) (* x1 2)) (* (* x1 x1) 3))) |
| 2.7s | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) (+ 1 (* x1 x1))) (* x1 2)) (* (* x1 x1) 3))) |
| 1.2s | (+ (log (* (exp (+ b (+ c d))) (exp e))) a) |
| 973.0ms | (+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096))) |
| 7753× | times-frac |
| 6993× | *-un-lft-identity |
| 6911× | add-sqr-sqrt |
| 6315× | frac-times |
| 4939× | flip-+ flip3-+ |
| 4262× | associate-*l/ |
| 3310× | associate-*r/ |
| 3014× | add-cube-cbrt |
| 2176× | pow1 |
| 1908× | add-exp-log |
| 1721× | add-cbrt-cube |
| 1561× | difference-of-squares |
| 1268× | distribute-lft-out-- |
| 1069× | associate-*r* |
| 904× | frac-add |
| 756× | cbrt-div |
| 743× | prod-exp |
| 742× | associate-/l/ |
| 688× | add-log-exp |
| 681× | distribute-lft-out |
| 645× | cbrt-unprod |
| 581× | div-inv |
| 572× | pow-prod-down |
| 511× | associate-/l* |
| 506× | associate-*l* |
| 498× | pow-prod-up |
| 483× | associate-/r/ |
| 360× | div-exp |
| 346× | sqrt-prod |
| 332× | insert-posit16 |
| 310× | cbrt-undiv |
| 302× | pow-plus |
| 291× | associate-/r* |
| 244× | flip3-- flip-- |
| 217× | pow-sqr |
| 190× | unpow-prod-down |
| 153× | swap-sqr |
| 146× | exp-prod |
| 129× | sum-log |
| 126× | sqr-pow |
| 124× | pow2 |
| 122× | unswap-sqr |
| 110× | distribute-rgt-neg-in |
| 100× | *-commutative |
| 99× | log-pow |
| 95× | sqrt-div |
| 90× | difference-of-sqr-1 |
| 88× | sub-neg |
| 86× | log-prod |
| 72× | diff-log |
| 71× | distribute-rgt-in distribute-lft-in |
| 66× | frac-2neg clear-num |
| 60× | pow-flip |
| 59× | cbrt-prod |
| 57× | distribute-lft-neg-in |
| 56× | exp-sum |
| 48× | sqrt-pow1 |
| 44× | pow1/2 |
| 41× | +-commutative |
| 35× | rem-sqrt-square |
| 30× | div-sub |
| 28× | pow3 |
| 27× | 1-exp rec-exp |
| 23× | frac-sub |
| 21× | associate-+l+ |
| 19× | neg-mul-1 |
| 16× | associate-+r+ pow1/3 |
| 14× | rem-log-exp log-div |
| 12× | pow-exp pow-to-exp rem-exp-log |
| 10× | cube-unmult |
| 9× | distribute-rgt-out-- associate--l+ |
| 8× | distribute-lft1-in associate--l- distribute-frac-neg |
| 7× | difference-of-sqr--1 exp-to-pow |
| 6× | neg-sub0 exp-diff pow-unpow distribute-lft-neg-out inv-pow |
| 5× | un-div-inv |
| 4× | cube-prod neg-log sum-cubes |
| 3× | associate-+r- associate--r+ |
| 2× | sub-div pow-pow e-exp-1 |
| 1× | remove-posit16 unpow3 sqrt-unprod associate-+l- rem-square-sqrt rem-cbrt-cube cube-mult associate--r- distribute-rgt-out distribute-rgt1-in |
332 calls:
| 566.0ms | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) (+ 1 (* x1 x1))) (* x1 2)) (* (* x1 x1) 3))) |
| 533.0ms | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) (+ 1 (* x1 x1))) (* x1 2)) (* (* x1 x1) 3))) |
| 505.0ms | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) (+ 1 (* x1 x1))) (* x1 2)) (* (* x1 x1) 3))) |
| 494.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 481.0ms | (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) |
Total 34.9b remaining (15.8%)
Threshold costs 2.3b (1.1%)
| 12.8b | 54% | Compound Interest |
| 4.7b | 76.6% | Kahan p9 Example |
| 4.5b | 84.1% | The quadratic formula (r2) |
| 4.3b | 84.7% | The quadratic formula (r1) |
| 2.6b | 0% | Complex division, imag part |