11171 calls:
| 1.1s | (* (* (* (- (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 3) (- (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 3)) (- (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 3)) (* (* (* (* x1 2) (* x1 2)) (* x1 2)) (/ (* (* (- (fma x2 2 (* (* 3 x1) x1)) x1) (- (fma x2 2 (* (* 3 x1) x1)) x1)) (- (fma x2 2 (* (* 3 x1) x1)) x1)) (* (* (fma x1 x1 1) (fma x1 x1 1)) (fma x1 x1 1))))) |
| 1.1s | (/ (/ (* c a) -1/2) a) |
| 1.1s | (* (- (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y)))) |
| 1.1s | (* (- x y) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) |
| 1.1s | (* (- (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 3) (* (* x1 2) (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)))) |
| 64× | intervals |
| 37.2s | 269825× | body | 80 | valid |
| 11.1s | 13854× | body | 1280 | valid |
| 8.7s | 16757× | body | 160 | valid |
| 6.2s | 9510× | body | 640 | valid |
| 4.8s | 3908× | body | 2560 | valid |
| 3.8s | 75745× | pre | 80 | true |
| 3.6s | 1996× | body | 10240 | exit |
| 3.0s | 6845× | body | 320 | valid |
| 2.4s | 19045× | body | 80 | nan |
| 350.0ms | 239× | body | 5120 | valid |
273 calls:
| 5.1s | (fma (/ (* (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1)) (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1))) (* (cbrt (fma x1 x1 1)) (cbrt (fma x1 x1 1)))) (/ (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1)) (cbrt (fma x1 x1 1))) (- 3)) |
| 3.3s | (fma (fma (/ (- (fma x2 2 (* (* 3 x1) x1)) x1) (fma x1 x1 1)) 4 -6) (* x1 x1) (/ (* (fma (/ (* (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1)) (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1))) (* (cbrt (fma x1 x1 1)) (cbrt (fma x1 x1 1)))) (/ (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1)) (cbrt (fma x1 x1 1))) (- 3)) (* (* x1 2) (- (fma x2 2 (* (* 3 x1) x1)) x1))) (fma x1 x1 1))) |
| 856.0ms | (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1)) |
| 814.0ms | (cbrt (- (fma x2 2 (* (* 3 x1) x1)) x1)) |
| 661.0ms | (expm1 (log1p (/ (expm1 x) x))) |
| 96× | rewrite-expression-head |
273 calls:
| 992.0ms | (+ (+ (* 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))) |
| 954.0ms | (+ (+ (+ (* 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))) |
| 904.0ms | (+ (+ (* 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))) |
| 883.0ms | (+ (+ (* 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))) |
| 874.0ms | (+ (+ (* 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))) |
| 5776× | *-un-lft-identity |
| 5375× | times-frac |
| 5068× | add-sqr-sqrt |
| 3525× | add-cube-cbrt |
| 1895× | sqrt-prod |
| 1080× | prod-diff |
| 976× | add-exp-log |
| 933× | pow1 |
| 904× | add-cbrt-cube |
| 697× | difference-of-squares |
| 675× | associate-*r* |
| 643× | distribute-lft-out |
| 608× | add-log-exp |
| 469× | associate-*l* |
| 419× | distribute-lft-out-- |
| 345× | associate-/r* |
| 295× | div-inv |
| 294× | associate-/l* |
| 287× | cbrt-prod |
| 282× | pow-prod-down prod-exp |
| 277× | expm1-log1p-u |
| 273× | log1p-expm1-u insert-posit16 |
| 257× | distribute-rgt-neg-in |
| 250× | cbrt-unprod |
| 218× | flip-+ flip3-+ |
| 204× | fma-neg |
| 192× | distribute-lft-neg-in |
| 184× | div-exp |
| 182× | frac-times |
| 162× | sum-log associate-/r/ |
| 148× | cbrt-undiv associate-*r/ |
| 138× | swap-sqr |
| 136× | unpow-prod-down |
| 131× | unswap-sqr |
| 120× | fma-def associate-*l/ |
| 119× | flip-- flip3-- |
| 103× | sqr-pow |
| 99× | sqrt-pow1 |
| 87× | pow-prod-up |
| 84× | frac-sub difference-of-sqr-1 |
| 76× | exp-neg |
| 74× | sqrt-div |
| 70× | neg-sub0 |
| 69× | neg-mul-1 |
| 68× | *-commutative |
| 64× | distribute-rgt-in distribute-lft-in |
| 58× | associate-/l/ |
| 57× | exp-diff |
| 54× | frac-2neg clear-num |
| 52× | fma-udef |
| 51× | pow1/2 |
| 45× | pow-sqr |
| 43× | diff-log |
| 39× | exp-prod sub-neg |
| 38× | rem-sqrt-square |
| 36× | pow-plus |
| 32× | +-commutative |
| 25× | div-sub |
| 22× | un-div-inv |
| 20× | 1-exp cbrt-div rec-exp pow2 |
| 19× | pow-flip |
| 18× | associate-+l+ |
| 15× | hypot-def |
| 13× | pow1/3 |
| 12× | rem-exp-log |
| 11× | frac-add |
| 10× | pow-exp associate--l- pow-to-exp log-pow |
| 9× | distribute-frac-neg |
| 8× | cube-prod neg-log |
| 7× | expm1-udef associate-+r+ associate--l+ |
| 6× | inv-pow |
| 5× | distribute-lft-neg-out log1p-expm1 log1p-udef |
| 4× | log-prod distribute-neg-frac |
| 3× | pow-unpow exp-sum cube-unmult pow3 sqrt-unprod associate-+l- remove-posit16 expm1-def |
| 2× | expm1-log1p unpow3 hypot-1-def associate--r+ rem-square-sqrt cube-mult |
| 1× | distribute-lft1-in associate-+r- sqrt-undiv pow-pow rem-log-exp unsub-neg |
Total 27.9b remaining (18%)
| 8.6b | 57.9% | Compound Interest |
| 4.6b | 83.6% | The quadratic formula (r2) |
| 4.4b | 76.7% | Kahan p9 Example |
| 2.6b | 0% | Complex division, real part |
| 1.9b | 0% | Complex division, imag part |