| 67× | intervals |
| 36.7s | 269448× | body | 80 | valid |
| 13.3s | 13771× | body | 1280 | valid |
| 8.1s | 16830× | body | 160 | valid |
| 6.4s | 9477× | body | 640 | valid |
| 6.3s | 3895× | body | 2560 | valid |
| 4.1s | 75932× | pre | 80 | true |
| 3.8s | 2170× | body | 10240 | exit |
| 3.0s | 6903× | body | 320 | valid |
| 2.6s | 19333× | body | 80 | nan |
| 402.0ms | 232× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
276 calls:
| 881.0ms | (+ (* (fma (* (cbrt (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (cbrt (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (cbrt (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (* 3 1))) (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (fma 0 (/ (- (fma 3 (* x1 x1) (* 2 x2)) x1) (fma x1 x1 1)) (fma (fma 4 (/ (- (fma 3 (* x1 x1) (* 2 x2)) x1) (fma x1 x1 1)) -6) (* x1 x1) 0))) |
| 806.0ms | (+ (* (fma (/ 1 (* (cbrt (+ (* x1 x1) 1)) (cbrt (+ (* x1 x1) 1)))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (cbrt (+ (* x1 x1) 1))) (- (* 3 1))) (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (fma 0 (/ (- (fma 3 (* x1 x1) (* 2 x2)) x1) (fma x1 x1 1)) (fma (fma 4 (/ (- (fma 3 (* x1 x1) (* 2 x2)) x1) (fma x1 x1 1)) -6) (* x1 x1) 0))) |
| 581.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (* x1 x1) (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))) (* (* x1 0) x1))) |
| 526.0ms | (/ (fma (exp (* n (log1p (/ i n)))) 100 -100) (/ i n)) |
| 505.0ms | (cbrt (/ PI (* a (* (+ a b) 2)))) |
| 97× | rewrite-expression-head |
276 calls:
| 1.1s | (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3) |
| 1.1s | (+ (+ (+ (* 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))) |
| 844.0ms | (+ (* (* (* 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))) |
| 749.0ms | (+ (+ (* 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))) |
| 694.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (+ (* (* x1 x1) (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))) (* (* x1 0) x1))) |
| 6011× | times-frac |
| 5382× | *-un-lft-identity |
| 5098× | add-sqr-sqrt |
| 3808× | add-cube-cbrt |
| 2249× | sqrt-prod |
| 1501× | prod-diff |
| 1093× | add-exp-log |
| 984× | add-cbrt-cube |
| 864× | pow1 |
| 611× | difference-of-squares |
| 550× | add-log-exp |
| 449× | associate-*r* |
| 394× | associate-/r* |
| 378× | associate-*l* |
| 367× | distribute-lft-out |
| 348× | distribute-lft-out-- |
| 320× | div-inv |
| 319× | associate-/l* |
| 294× | prod-exp |
| 280× | expm1-log1p-u |
| 276× | log1p-expm1-u insert-posit16 |
| 266× | associate-+l+ |
| 261× | sqrt-pow1 |
| 258× | cbrt-unprod |
| 252× | div-exp |
| 250× | unpow-prod-down |
| 241× | pow-prod-down |
| 224× | associate-/r/ |
| 221× | distribute-rgt-in distribute-lft-in |
| 192× | cbrt-undiv |
| 185× | flip-+ flip3-+ |
| 173× | sqrt-div distribute-rgt-neg-in |
| 169× | fma-neg |
| 165× | distribute-lft-neg-in |
| 161× | associate-*l/ |
| 130× | sum-log |
| 128× | pow1/2 |
| 126× | pow-prod-up |
| 99× | sqr-pow |
| 97× | unswap-sqr |
| 93× | exp-prod |
| 92× | associate-*r/ |
| 75× | frac-times |
| 70× | flip-- flip3-- |
| 66× | frac-2neg clear-num |
| 65× | cbrt-prod |
| 61× | *-commutative |
| 55× | neg-mul-1 |
| 52× | fma-udef |
| 51× | rem-sqrt-square |
| 50× | swap-sqr |
| 47× | fma-def |
| 44× | associate-/l/ sub-neg |
| 36× | diff-log |
| 34× | rem-exp-log |
| 28× | 1-exp rec-exp |
| 26× | log-pow frac-add |
| 22× | pow-sqr |
| 20× | pow-plus |
| 18× | associate-+r+ |
| 17× | +-commutative |
| 16× | div-sub |
| 15× | exp-sum |
| 12× | pow1/3 |
| 11× | log-prod hypot-def |
| 10× | distribute-frac-neg |
| 9× | pow2 distribute-lft-neg-out |
| 8× | pow-flip sqrt-unprod inv-pow |
| 7× | neg-sub0 |
| 6× | pow-exp pow-unpow associate--l- |
| 5× | pow-to-exp |
| 4× | cube-prod log1p-expm1 neg-log un-div-inv log1p-udef |
| 3× | expm1-udef cbrt-div pow3 rem-log-exp rem-square-sqrt |
| 2× | cube-unmult associate--r+ pow-pow |
| 1× | unpow-prod-up expm1-log1p remove-posit16 unpow3 hypot-udef cube-mult e-exp-1 distribute-rgt-out |
Total 34.7b remaining (23.9%)
Threshold costs 2.2b (1.5%)
| 13.8b | 42.5% | Compound Interest |
| 7.4b | 37.3% | Complex division, real part |
| 5.5b | 80% | The quadratic formula (r2) |
| 4.3b | 84.7% | The quadratic formula (r1) |
| 1.3b | 0% | Rosa's DopplerBench |