| 72× | intervals |
| 31.6s | 276753× | body | 80 | valid |
| 11.2s | 13550× | body | 1280 | valid |
| 11.0s | 25188× | body | 160 | valid |
| 6.0s | 9451× | body | 640 | valid |
| 4.6s | 3894× | body | 2560 | valid |
| 3.7s | 100571× | pre | 80 | true |
| 3.4s | 2170× | body | 10240 | exit |
| 3.0s | 19551× | body | 80 | nan |
| 2.0s | 6828× | body | 320 | valid |
| 208.0ms | 264× | body | 5120 | valid |
| 4.0ms | 100× | pre | 80 | false |
| 102× | rewrite-expression-head |
288 calls:
| 3.5s | (* (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b))))) (sqrt (* (* (exp d) (exp e)) (* (exp a) (* (exp c) (exp b)))))) |
| 2.7s | (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) |
| 2.5s | (/ (log (exp (- (pow (+ 1.0 (/ i n)) n) 1.0))) (/ i n)) |
| 2.4s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (* x1 x1) (fma 6.0 -1 6.0)))) |
| 2.2s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (* x1 x1) (fma 6.0 -1 6.0)))) |
| 4173× | *-un-lft-identity |
| 4130× | add-sqr-sqrt |
| 3337× | times-frac |
| 3131× | add-cube-cbrt |
| 1875× | prod-diff |
| 1733× | pow1 |
| 1420× | add-exp-log |
| 1278× | add-cbrt-cube |
| 888× | pow-prod-down |
| 571× | add-log-exp |
| 528× | associate-+l+ |
| 489× | sqrt-prod |
| 474× | prod-exp |
| 455× | associate-*r* |
| 432× | difference-of-squares |
| 412× | cbrt-unprod |
| 357× | distribute-rgt-in distribute-lft-in |
| 356× | sqrt-pow1 |
| 333× | div-exp |
| 314× | associate-*l* |
| 291× | log1p-expm1-u |
| 288× | expm1-log1p-u insert-posit16 |
| 285× | cbrt-undiv distribute-lft-out-- |
| 275× | associate-/l* |
| 257× | div-inv |
| 235× | distribute-lft-out |
| 226× | fma-neg |
| 220× | associate-/r* |
| 218× | exp-prod |
| 201× | unpow-prod-down log-pow |
| 200× | associate-/r/ |
| 172× | flip-+ flip3-+ |
| 165× | exp-sum |
| 148× | flip3-- flip-- |
| 140× | pow-prod-up |
| 131× | cbrt-prod |
| 125× | log-prod |
| 116× | associate-*r/ |
| 106× | swap-sqr |
| 104× | sum-log |
| 101× | sqr-pow |
| 92× | frac-times |
| 81× | sub-neg |
| 78× | distribute-rgt-neg-in pow-sqr |
| 76× | unswap-sqr |
| 73× | distribute-lft-neg-in |
| 65× | fma-def |
| 64× | associate-/l/ |
| 62× | *-commutative |
| 56× | associate-*l/ |
| 54× | frac-2neg clear-num |
| 53× | diff-log |
| 48× | fma-udef |
| 45× | cbrt-div |
| 44× | pow1/2 frac-add |
| 37× | sqrt-div |
| 33× | pow-plus |
| 26× | div-sub |
| 25× | neg-mul-1 |
| 24× | +-commutative |
| 22× | pow1/3 1-exp rec-exp |
| 20× | associate-+r+ pow2 rem-sqrt-square |
| 16× | log-div |
| 14× | rem-log-exp |
| 12× | pow-exp pow-to-exp |
| 11× | exp-to-pow rem-exp-log |
| 9× | pow-unpow pow-flip |
| 6× | exp-diff associate--l- inv-pow |
| 5× | distribute-lft-neg-out pow3 distribute-frac-neg hypot-def |
| 4× | neg-sub0 |
| 3× | expm1-log1p expm1-udef log1p-expm1 neg-log pow-pow distribute-rgt-out log1p-udef |
| 2× | +-inverses associate--l+ distribute-rgt-out-- associate-+l- rem-cbrt-cube |
| 1× | associate-+r- sqrt-unprod un-div-inv rem-square-sqrt unsub-neg |
288 calls:
| 1.2s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (* x1 x1) (fma 6.0 -1 6.0)))) |
| 1.1s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (+ (* (* x1 x1) (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (cbrt 6.0) (* (cbrt 6.0) (cbrt 6.0)))))) (* (* x1 x1) (fma 6.0 -1 6.0)))) |
| 1.1s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (* x1 x1) (fma 6.0 -1 6.0)))) |
| 1.0s | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 1.0s | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
Total 34.4b remaining (13.5%)
Threshold costs 3.1b (1.2%)
| 10.6b | 50.7% | Compound Interest |
| 8.3b | 32.8% | Complex division, real part |
| 4.5b | 77.5% | Kahan p9 Example |
| 3.5b | -10.9% | Complex division, imag part |
| 3.0b | 90% | The quadratic formula (r2) |