| 67× | intervals |
| 37.4s | 268827× | body | 80 | valid |
| 11.4s | 13526× | body | 1280 | valid |
| 7.4s | 16887× | body | 160 | valid |
| 6.3s | 9684× | body | 640 | valid |
| 4.9s | 3738× | body | 2560 | valid |
| 4.3s | 2305× | body | 10240 | exit |
| 3.5s | 75793× | pre | 80 | true |
| 2.6s | 6891× | body | 320 | valid |
| 2.4s | 19740× | body | 80 | nan |
| 222.0ms | 206× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
| 96× | rewrite-expression-head |
278 calls:
| 6.4s | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (* (* (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3))) (cbrt (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)))) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 951.0ms | (+ (+ (+ (* 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))) |
| 932.0ms | (+ (+ (* 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))) |
| 734.0ms | (+ (* (* (* 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))) |
| 576.0ms | (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3) |
| 4036× | times-frac |
| 3763× | add-sqr-sqrt |
| 3587× | *-un-lft-identity |
| 2210× | add-cube-cbrt |
| 1471× | add-exp-log |
| 1320× | add-cbrt-cube |
| 1175× | pow1 |
| 863× | sqrt-prod |
| 843× | associate-*r* |
| 599× | difference-of-squares |
| 588× | add-log-exp |
| 577× | associate-*r/ |
| 570× | associate-*l* |
| 508× | prod-exp |
| 462× | frac-times |
| 435× | flip3-- flip-- |
| 410× | cbrt-unprod |
| 394× | cbrt-div |
| 385× | distribute-lft-out-- |
| 378× | associate-/l* |
| 344× | div-exp |
| 305× | flip-+ flip3-+ |
| 289× | cbrt-undiv |
| 278× | insert-posit16 |
| 270× | pow-prod-down |
| 259× | distribute-lft-out |
| 256× | div-inv |
| 240× | associate-/r* |
| 232× | associate-/r/ associate-*l/ |
| 224× | frac-add |
| 221× | pow-prod-up |
| 139× | unswap-sqr |
| 132× | sqrt-div |
| 124× | unpow-prod-down |
| 121× | sum-log |
| 115× | pow-plus |
| 105× | sqr-pow |
| 100× | pow-sqr |
| 95× | difference-of-sqr-1 |
| 93× | frac-sub |
| 83× | *-commutative |
| 82× | exp-prod |
| 81× | exp-neg |
| 79× | sub-neg |
| 68× | exp-diff associate-/l/ |
| 66× | neg-sub0 pow2 |
| 64× | distribute-rgt-neg-in |
| 62× | diff-log |
| 58× | distribute-lft-neg-in |
| 56× | pow-flip swap-sqr |
| 55× | frac-2neg clear-num cbrt-prod |
| 47× | distribute-rgt-in distribute-lft-in |
| 46× | sqrt-pow1 |
| 40× | log-pow |
| 37× | log-prod |
| 34× | +-commutative |
| 28× | un-div-inv |
| 27× | 1-exp rec-exp pow1/2 rem-sqrt-square |
| 26× | associate-+l+ |
| 24× | pow1/3 |
| 22× | neg-mul-1 |
| 19× | exp-sum |
| 17× | associate-+r+ div-sub |
| 13× | associate--l+ |
| 11× | rem-exp-log |
| 9× | distribute-rgt-neg-out log-div |
| 8× | pow-exp pow-div pow-to-exp |
| 7× | inv-pow |
| 6× | associate--l- distribute-rgt-out-- rem-log-exp |
| 5× | cube-unmult pow3 distribute-frac-neg |
| 4× | neg-log associate-+l- |
| 3× | distribute-lft1-in remove-posit16 pow-unpow distribute-lft-neg-out unsub-neg |
| 2× | associate-+r- associate--r+ distribute-rgt-out |
| 1× | sub-div pow-pow sum-cubes rem-cbrt-cube |
278 calls:
| 540.0ms | (cbrt (+ (* (* (* 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)))) |
| 521.0ms | (cbrt (+ (* (* (* 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)))) |
| 515.0ms | (cbrt (+ (* (* (* 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)))) |
| 504.0ms | (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) |
| 504.0ms | (+ (* (* (* 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))) |
Total 32.8b remaining (12.5%)
Threshold costs 3.0b (1.1%)
| 10.5b | 54.3% | Compound Interest |
| 5.1b | 81.6% | The quadratic formula (r2) |
| 4.8b | 75.8% | Kahan p9 Example |
| 4.3b | 84.1% | The quadratic formula (r1) |
| 2.6b | 0% | Complex division, imag part |