| 64× | intervals |
| 37.6s | 270072× | body | 80 | valid |
| 12.8s | 13427× | body | 1280 | valid |
| 8.2s | 16888× | body | 160 | valid |
| 6.2s | 3866× | body | 2560 | valid |
| 5.8s | 9534× | body | 640 | valid |
| 4.1s | 2043× | body | 10240 | exit |
| 3.3s | 75626× | pre | 80 | true |
| 2.6s | 6935× | body | 320 | valid |
| 2.2s | 19446× | body | 80 | nan |
| 366.0ms | 241× | body | 5120 | valid |
312 calls:
| 577.0ms | (* (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (* (/ 1 (+ 1 (* x1 x1))) (+ (* x1 (* (* 2 (+ 1 (* x1 x1))) (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3))) (* (* x1 x1) 3)))) |
| 559.0ms | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* x1 (* (* 2 (+ 1 (* x1 x1))) (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3))) (* (* x1 x1) 3))) |
| 556.0ms | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* x1 (* (* 2 (+ 1 (* x1 x1))) (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3))) (* (* x1 x1) 3))) |
| 538.0ms | (* (/ (- t1) (+ t1 u)) v) |
| 445.0ms | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 103× | rewrite-expression-head |
312 calls:
| 1.8s | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* x1 (* (* 2 (+ 1 (* x1 x1))) (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3))) (* (* x1 x1) 3))) |
| 1.8s | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* x1 (* (* 2 (+ 1 (* x1 x1))) (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3))) (* (* x1 x1) 3))) |
| 1.7s | (* (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (* (/ 1 (+ 1 (* x1 x1))) (+ (* x1 (* (* 2 (+ 1 (* x1 x1))) (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3))) (* (* x1 x1) 3)))) |
| 879.0ms | (+ (+ (+ (* 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))) |
| 841.0ms | (+ (+ (* 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))) |
| 3700× | times-frac |
| 3670× | *-un-lft-identity |
| 3473× | add-sqr-sqrt |
| 2189× | add-cube-cbrt |
| 1498× | add-exp-log |
| 1368× | add-cbrt-cube |
| 953× | pow1 |
| 773× | associate-*r* |
| 717× | sqrt-prod |
| 716× | add-log-exp |
| 495× | difference-of-squares |
| 478× | associate-*l* |
| 472× | prod-exp |
| 424× | distribute-lft-out cbrt-unprod |
| 385× | cbrt-prod |
| 373× | associate-/r* |
| 339× | div-exp |
| 312× | insert-posit16 |
| 301× | cbrt-undiv |
| 284× | associate-/l* |
| 263× | flip-+ flip3-+ |
| 261× | pow-prod-down |
| 245× | distribute-lft-out-- |
| 229× | div-inv |
| 193× | associate-/r/ |
| 190× | unpow-prod-down |
| 180× | sum-log |
| 144× | unswap-sqr |
| 133× | flip3-- flip-- |
| 127× | associate-*r/ |
| 126× | sqr-pow |
| 121× | sqrt-div |
| 119× | swap-sqr |
| 99× | associate-*l/ |
| 97× | frac-times |
| 89× | difference-of-sqr-1 |
| 88× | *-commutative |
| 72× | sub-neg |
| 65× | distribute-rgt-neg-in associate-/l/ |
| 62× | frac-2neg clear-num diff-log |
| 61× | sqrt-pow1 |
| 57× | exp-prod |
| 56× | log-prod cbrt-div pow-prod-up log-pow |
| 54× | distribute-lft-neg-in |
| 51× | +-commutative |
| 45× | exp-sum |
| 41× | pow1/2 |
| 40× | distribute-rgt-in distribute-lft-in pow-sqr |
| 32× | frac-add |
| 31× | pow-plus |
| 30× | rem-sqrt-square |
| 24× | associate-+r+ |
| 20× | frac-sub |
| 19× | pow1/3 log-div |
| 18× | associate-+l+ 1-exp rec-exp pow2 neg-mul-1 |
| 17× | div-sub |
| 14× | distribute-rgt-out-- |
| 12× | pow-exp pow-to-exp rem-log-exp |
| 8× | neg-sub0 associate--r+ |
| 7× | exp-diff associate--l- associate--l+ |
| 6× | pow-unpow pow-flip distribute-frac-neg inv-pow |
| 5× | neg-log distribute-lft-neg-out distribute-rgt-out |
| 4× | cube-prod |
| 3× | remove-posit16 associate-+r- pow3 sub-div rem-exp-log associate-+l- |
| 2× | pow-pow un-div-inv exp-to-pow associate--r- |
| 1× | distribute-lft1-in sqrt-undiv cube-unmult unpow3 sqrt-unprod rem-square-sqrt rem-cbrt-cube cube-mult distribute-rgt1-in |
Total 37.1b remaining (16.6%)
Threshold costs 2.5b (1.1%)
| 12.8b | 52.9% | Compound Interest |
| 4.9b | 81.9% | The quadratic formula (r1) |
| 4.5b | 76.6% | Kahan p9 Example |
| 4.4b | 84.3% | The quadratic formula (r2) |
| 2.8b | 0% | Complex division, real part |