| 64× | intervals |
| 37.2s | 268890× | body | 80 | valid |
| 13.2s | 13981× | body | 1280 | valid |
| 7.0s | 17012× | body | 160 | valid |
| 5.9s | 9329× | body | 640 | valid |
| 5.8s | 3959× | body | 2560 | valid |
| 3.8s | 75672× | pre | 80 | true |
| 3.8s | 1953× | body | 10240 | exit |
| 2.8s | 6683× | body | 320 | valid |
| 2.0s | 18921× | body | 80 | nan |
| 296.0ms | 229× | body | 5120 | valid |
283 calls:
| 625.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ 1 (sqrt (+ (* x1 x1) 1))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (sqrt (+ (* x1 x1) 1))) (- 3))) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 549.0ms | (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)))) |
| 536.0ms | (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)))) |
| 512.0ms | (/ 1 (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) |
| 446.0ms | (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)) |
| 99× | rewrite-expression-head |
283 calls:
| 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))) |
| 909.0ms | (+ (+ (* 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))) |
| 854.0ms | (+ (* (* (* 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))) |
| 619.0ms | (cbrt (* (* (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x)))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x)))))) |
| 587.0ms | (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3) |
| 18083× | times-frac |
| 11933× | add-sqr-sqrt |
| 11767× | *-un-lft-identity |
| 10196× | add-cube-cbrt |
| 5006× | prod-diff |
| 1446× | unpow-prod-down |
| 1328× | add-exp-log |
| 1130× | add-cbrt-cube |
| 1111× | sqrt-prod |
| 889× | div-inv |
| 775× | pow1 |
| 677× | associate-*r* |
| 674× | difference-of-squares |
| 559× | sqr-pow |
| 554× | add-log-exp |
| 466× | associate-/r* |
| 457× | associate-/l* |
| 422× | associate-*l* |
| 389× | distribute-lft-out |
| 370× | prod-exp |
| 328× | div-exp |
| 317× | distribute-lft-out-- |
| 308× | cbrt-unprod |
| 291× | log1p-expm1-u |
| 285× | expm1-log1p-u |
| 283× | insert-posit16 |
| 263× | associate-/r/ |
| 262× | cbrt-prod |
| 249× | cbrt-undiv |
| 219× | fma-neg |
| 206× | flip-- flip3-- |
| 199× | pow-prod-down |
| 196× | associate-*r/ |
| 190× | distribute-rgt-neg-in |
| 181× | flip-+ flip3-+ |
| 177× | distribute-lft-neg-in |
| 172× | frac-times |
| 156× | distribute-rgt-in distribute-lft-in |
| 150× | associate-*l/ |
| 149× | unswap-sqr |
| 142× | associate-+l+ |
| 117× | sum-log |
| 115× | swap-sqr |
| 99× | difference-of-sqr-1 |
| 88× | frac-sub |
| 76× | exp-neg |
| 71× | fma-def |
| 70× | frac-2neg clear-num |
| 64× | cbrt-div |
| 63× | neg-sub0 *-commutative |
| 61× | associate-/l/ |
| 59× | neg-mul-1 |
| 58× | sub-neg |
| 57× | exp-diff |
| 56× | frac-add |
| 54× | fma-udef |
| 50× | pow-prod-up |
| 48× | diff-log |
| 43× | sqrt-pow1 |
| 41× | pow1/2 |
| 37× | 1-exp rec-exp |
| 36× | sqrt-div |
| 34× | pow-sqr |
| 30× | rem-sqrt-square |
| 29× | associate-+r+ |
| 27× | pow-plus |
| 25× | un-div-inv |
| 24× | div-sub |
| 22× | pow-exp pow-to-exp |
| 21× | +-commutative |
| 19× | pow1/3 |
| 17× | pow2 |
| 15× | exp-sum |
| 14× | distribute-lft-neg-out |
| 13× | pow-flip inv-pow |
| 12× | expm1-udef |
| 9× | hypot-def |
| 8× | expm1-log1p |
| 7× | distribute-frac-neg |
| 6× | pow-div |
| 5× | associate--l- |
| 4× | cube-prod log-prod log1p-expm1 pow3 neg-log log1p-udef |
| 3× | pow-unpow hypot-udef expm1-def |
| 2× | cube-unmult sqrt-unprod rem-square-sqrt log-pow log-div |
| 1× | difference-cubes unpow3 pow-pow rem-log-exp log1p-def rem-cbrt-cube cube-mult distribute-rgt-out |
Total 42.3b remaining (31.5%)
Threshold costs 3.3b (2.5%)
| 9.2b | 12.5% | Compound Interest |
| 7.6b | 32.8% | Complex division, real part |
| 6.7b | 36.5% | Complex division, imag part |
| 5.0b | 82.5% | The quadratic formula (r2) |
| 4.8b | 75.1% | Kahan p9 Example |