300 calls:
| 2.0s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.0s | (+ (* (* (* 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)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 847.0ms | (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n)) |
| 807.0ms | (+ (expm1 (log1p (* (pow y 6.0) 333.75))) (fma (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) (* x x) (fma 5.5 (pow y 8.0) (/ x (* 2.0 y))))) |
| 736.0ms | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 106× | rewrite-expression-head |
300 calls:
| 2.1s | (+ (+ (+ (* 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))) (/ 77617.0 (* 2.0 33096.0))) |
| 1.7s | (+ (+ (* 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))) |
| 1.4s | (+ (* (* (* 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)) (+ (* (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) (* x1 x1)) (* (- 6.0) (* x1 x1)))) |
| 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)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 6109× | *-un-lft-identity |
| 5852× | add-sqr-sqrt |
| 5782× | times-frac |
| 4440× | add-cube-cbrt |
| 2237× | prod-diff |
| 1702× | add-exp-log |
| 1471× | add-cbrt-cube |
| 1042× | sqrt-prod |
| 771× | associate-*r* |
| 744× | pow1 |
| 604× | associate-*l* |
| 602× | add-log-exp |
| 573× | difference-of-squares |
| 568× | distribute-rgt-in distribute-lft-in |
| 547× | prod-exp |
| 504× | distribute-lft-out |
| 473× | unpow-prod-down |
| 468× | associate-*l/ |
| 453× | cbrt-unprod |
| 442× | div-exp |
| 438× | associate-/l* |
| 427× | div-inv |
| 406× | frac-times |
| 404× | cbrt-div |
| 400× | flip3-- flip-- |
| 399× | associate-+l+ |
| 367× | cbrt-undiv |
| 340× | associate-*r/ |
| 333× | distribute-lft-out-- |
| 318× | associate-/r* |
| 300× | log1p-expm1-u expm1-log1p-u |
| 243× | sqr-pow |
| 206× | associate-/r/ |
| 205× | flip-+ flip3-+ |
| 197× | distribute-rgt-neg-in |
| 190× | pow-prod-down |
| 185× | fma-neg |
| 182× | cube-prod |
| 169× | distribute-lft-neg-in |
| 166× | frac-add |
| 163× | unswap-sqr |
| 134× | sum-log |
| 129× | sqrt-div |
| 123× | cbrt-prod |
| 108× | fma-def |
| 92× | frac-sub |
| 81× | exp-neg |
| 79× | sqrt-pow1 |
| 76× | swap-sqr |
| 71× | *-commutative neg-sub0 |
| 69× | associate-/l/ |
| 66× | clear-num frac-2neg |
| 62× | exp-diff |
| 58× | sub-neg |
| 57× | neg-mul-1 |
| 55× | pow1/2 |
| 47× | diff-log |
| 44× | fma-udef |
| 39× | log-prod |
| 34× | pow-prod-up |
| 32× | unpow3 cube-mult +-commutative |
| 31× | 1-exp rec-exp |
| 27× | rem-sqrt-square |
| 25× | associate-+r+ |
| 24× | un-div-inv |
| 22× | pow-sqr pow1/3 |
| 20× | pow-plus |
| 19× | pow-to-exp pow-exp |
| 18× | div-sub |
| 14× | pow2 |
| 13× | exp-sum |
| 12× | pow-unpow |
| 11× | unpow2 |
| 10× | log-pow distribute-frac-neg exp-prod |
| 9× | distribute-lft-neg-out pow-flip |
| 7× | neg-log |
| 6× | difference-cubes sqrt-unprod associate--l- pow-pow |
| 5× | inv-pow rem-cbrt-cube associate--l+ log-div |
| 3× | rem-exp-log rem-cube-cbrt associate-+r- associate-+l- |
| 2× | cube-div expm1-udef unsub-neg rem-square-sqrt associate--r+ rem-log-exp |
| 1× | sqrt-undiv sqrt-pow2 pow3 expm1-log1p distribute-rgt-out |
| 56× | intervals |
| 10.8s | 144706× | body | 80 | valid |
| 5.4s | 14856× | body | 160 | valid |
| 1.6s | 68636× | pre | 80 | true |
| 1.4s | 1830× | body | 640 | valid |
| 1.2s | 3079× | body | 1280 | valid |
| 540.0ms | 2955× | body | 320 | valid |
| 539.0ms | 252× | body | 10240 | exit |
| 519.0ms | 8598× | body | 80 | nan |
| 400.0ms | 741× | body | 2560 | valid |
| 7.0ms | 100× | pre | 80 | false |
| 7.0ms | 9× | body | 5120 | valid |
Total 2.0b remaining (1.2%)
Threshold costs 0.6b (0.4%)
| 1.4b | 0% | Rosa's DopplerBench |
| 0.3b | 0% | fma_test1 |
| 0.2b | 0% | NMSE Section 6.1 mentioned, B |
| 0.1b | 0% | Rosa's Benchmark |
| 0.0b | 0% | arccos |