| 67× | intervals |
| 37.8s | 269855× | body | 80 | valid |
| 13.0s | 13855× | body | 1280 | valid |
| 8.4s | 16827× | body | 160 | valid |
| 6.4s | 9452× | body | 640 | valid |
| 6.1s | 3814× | body | 2560 | valid |
| 4.6s | 2281× | body | 10240 | exit |
| 4.0s | 75826× | pre | 80 | true |
| 2.7s | 6822× | body | 320 | valid |
| 2.6s | 19440× | body | 80 | nan |
| 277.0ms | 250× | body | 5120 | valid |
| 10.0ms | 100× | pre | 80 | false |
311 calls:
| 7.1s | (/ (/ (- (* (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) (pow (+ (/ i n) 1) n)) 1) (+ (+ (pow (+ (/ i n) 1) n) 1) (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)))) (/ i n)) |
| 1.3s | (+ (* 3 (/ (+ (* x2 -2) (- (* (* x1 x1) 3) x1)) (+ 1 (* x1 x1)))) (* (+ 1 (* x1 x1)) (+ (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* x1 (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) 2)) (* (* x1 x1) 4))) (+ (* -6 (* x1 x1)) x1)))) |
| 867.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* (cbrt (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) (cbrt (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) (cbrt (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))))) |
| 494.0ms | (log (+ 1 (* (* x x) x))) |
| 478.0ms | (log (+ 1 (* x (* x x)))) |
| 104× | rewrite-expression-head |
311 calls:
| 2.4s | (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* x1 (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) 2)) (* (* x1 x1) 4))) |
| 2.2s | (+ (* 3 (/ (+ (* x2 -2) (- (* (* x1 x1) 3) x1)) (+ 1 (* x1 x1)))) (* (+ 1 (* x1 x1)) (+ (* (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) (+ (* x1 (* (- (/ (+ (* (* x1 x1) 3) (- (* x2 2) x1)) (+ 1 (* x1 x1))) 3) 2)) (* (* x1 x1) 4))) (+ (* -6 (* x1 x1)) x1)))) |
| 1.0s | (+ (+ (+ (* 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))) |
| 963.0ms | (/ (/ (- (* (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) (pow (+ (/ i n) 1) n)) 1) (+ (+ (pow (+ (/ i n) 1) n) 1) (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)))) (/ i n)) |
| 938.0ms | (+ (+ (* 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))) |
| 14533× | add-exp-log |
| 14231× | add-cbrt-cube |
| 10113× | times-frac |
| 8000× | prod-exp |
| 7929× | *-un-lft-identity |
| 7870× | cbrt-unprod |
| 7252× | add-sqr-sqrt |
| 4569× | div-exp |
| 4451× | cbrt-undiv |
| 3927× | add-cube-cbrt |
| 2106× | pow1 |
| 1285× | difference-of-squares |
| 1194× | associate-*r* |
| 1019× | distribute-lft-out |
| 863× | associate-*r/ |
| 859× | distribute-lft-out-- |
| 691× | add-log-exp |
| 641× | div-inv |
| 615× | frac-times |
| 585× | associate-/l* |
| 549× | pow-prod-up |
| 492× | pow-prod-down |
| 446× | associate-*l* |
| 399× | associate-*l/ |
| 385× | associate-/r* |
| 377× | sqrt-prod |
| 365× | flip3-- flip-- |
| 336× | distribute-rgt-neg-in |
| 323× | cbrt-div |
| 317× | flip-+ flip3-+ |
| 311× | insert-posit16 |
| 291× | associate-/r/ |
| 259× | distribute-lft-neg-in |
| 240× | pow-sqr |
| 225× | pow-plus |
| 219× | frac-add |
| 202× | unpow-prod-down |
| 153× | sum-log |
| 152× | pow2 |
| 143× | unswap-sqr |
| 133× | frac-sub |
| 129× | sqr-pow |
| 111× | sqrt-div |
| 93× | swap-sqr |
| 89× | difference-of-sqr-1 cbrt-prod |
| 87× | neg-mul-1 |
| 86× | *-commutative |
| 79× | sub-neg |
| 73× | exp-neg |
| 71× | diff-log |
| 69× | associate-/l/ |
| 67× | log-prod |
| 63× | frac-2neg clear-num |
| 62× | exp-prod |
| 61× | neg-sub0 |
| 59× | exp-diff |
| 47× | pow-flip |
| 45× | log-pow |
| 44× | 1-exp rec-exp |
| 40× | sqrt-pow1 pow1/2 |
| 39× | +-commutative |
| 36× | div-sub |
| 35× | distribute-rgt-in distribute-lft-in |
| 32× | rem-sqrt-square |
| 24× | associate-+r+ |
| 22× | associate-+l+ log-div |
| 20× | exp-sum |
| 19× | un-div-inv |
| 18× | pow1/3 |
| 17× | rem-exp-log |
| 16× | sub-div |
| 15× | pow-exp pow-unpow pow-to-exp |
| 14× | associate--l+ |
| 12× | inv-pow |
| 11× | associate--l- rem-log-exp |
| 9× | distribute-rgt-out-- associate--r+ |
| 8× | pow-div |
| 7× | pow3 |
| 6× | associate-+r- cube-unmult |
| 5× | distribute-lft-neg-out neg-log pow-pow exp-to-pow |
| 4× | cube-prod remove-posit16 associate--r- |
| 3× | distribute-frac-neg associate-+l- |
| 2× | unsub-neg |
| 1× | distribute-lft1-in sub0-neg unpow3 sqrt-unprod distribute-neg-frac sum-cubes rem-square-sqrt cube-mult rem-cbrt-cube distribute-rgt-out |
Total 37.2b remaining (16.7%)
Threshold costs 2.8b (1.3%)
| 16.8b | 39.2% | Compound Interest |
| 5.0b | 74.5% | Kahan p9 Example |
| 4.4b | 84.3% | The quadratic formula (r1) |
| 2.8b | -4.7% | Complex division, real part |
| 2.5b | 0% | Complex division, imag part |