| 67× | intervals |
| 35.8s | 268827× | body | 80 | valid |
| 12.3s | 13526× | body | 1280 | valid |
| 7.5s | 16887× | body | 160 | valid |
| 6.4s | 9684× | body | 640 | valid |
| 5.9s | 3738× | body | 2560 | valid |
| 4.8s | 75793× | pre | 80 | true |
| 4.5s | 2305× | body | 10240 | exit |
| 2.6s | 6891× | body | 320 | valid |
| 2.3s | 19740× | body | 80 | nan |
| 265.0ms | 206× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
267 calls:
| 1.2s | (cbrt (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (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)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) |
| 1.1s | (cbrt (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (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)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) |
| 946.0ms | (cbrt (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (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)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) |
| 874.0ms | (cbrt (+ (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* (* x x) x)) (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* x x)))) |
| 860.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (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)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 96× | rewrite-expression-head |
267 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))) |
| 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))) |
| 962.0ms | (+ (* (* (* 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 x1) 0))) |
| 930.0ms | (+ (* (* (* 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))) |
| 669.0ms | (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3) |
| 35085× | times-frac |
| 21850× | *-un-lft-identity |
| 17671× | add-sqr-sqrt |
| 14345× | add-cube-cbrt |
| 2307× | distribute-lft-out |
| 1647× | prod-diff |
| 1542× | difference-of-squares |
| 1515× | add-exp-log |
| 1495× | associate-/l* |
| 1432× | distribute-lft-out-- |
| 1331× | div-inv |
| 1263× | add-cbrt-cube |
| 991× | associate-/r/ |
| 965× | pow1 |
| 641× | associate-*r* |
| 517× | add-log-exp |
| 495× | associate-+l+ |
| 490× | div-exp |
| 452× | associate-*l* |
| 409× | associate-/r* |
| 408× | prod-exp |
| 386× | sqrt-prod |
| 354× | cbrt-unprod |
| 351× | flip-+ flip3-+ |
| 317× | cbrt-undiv |
| 312× | flip-- flip3-- |
| 290× | pow-prod-down |
| 269× | expm1-log1p-u |
| 267× | log1p-expm1-u insert-posit16 |
| 184× | distribute-rgt-in distribute-lft-in |
| 138× | fma-neg |
| 134× | associate-*r/ |
| 131× | frac-times distribute-rgt-neg-in |
| 124× | distribute-lft-neg-in |
| 123× | sum-log |
| 113× | unswap-sqr |
| 110× | unpow-prod-down |
| 99× | fma-def |
| 93× | pow-prod-up |
| 91× | sqrt-pow1 |
| 85× | associate-*l/ |
| 83× | frac-sub |
| 81× | exp-prod exp-neg |
| 69× | *-commutative |
| 67× | cbrt-prod associate-/l/ |
| 66× | neg-sub0 |
| 65× | exp-diff |
| 64× | frac-2neg clear-num fma-udef |
| 57× | pow-plus |
| 56× | 1-exp cbrt-div rec-exp |
| 45× | sub-neg pow-sqr |
| 42× | neg-mul-1 frac-add |
| 41× | sqr-pow |
| 40× | log-prod |
| 39× | pow1/2 |
| 38× | swap-sqr |
| 34× | log-pow |
| 31× | diff-log |
| 30× | exp-sum |
| 28× | associate-+r+ |
| 27× | pow2 |
| 24× | un-div-inv |
| 20× | +-commutative |
| 19× | rem-exp-log |
| 18× | rem-sqrt-square |
| 15× | pow-exp div-sub |
| 12× | pow-to-exp |
| 11× | pow1/3 pow-flip inv-pow |
| 9× | associate--l+ pow3 |
| 8× | pow-div hypot-def |
| 7× | distribute-frac-neg |
| 6× | pow-unpow |
| 4× | associate--l- distribute-lft-neg-out pow-pow rem-log-exp log-div |
| 3× | neg-log difference-of-sqr-1 |
| 2× | expm1-log1p expm1-udef remove-posit16 log1p-expm1 sqrt-unprod rem-square-sqrt rem-cbrt-cube log1p-udef |
| 1× | cube-unmult sqrt-div hypot-udef associate-+l- |
Total 38.8b remaining (26.1%)
Threshold costs 2.2b (1.5%)
| 10.3b | 62.9% | Compound Interest |
| 7.9b | 31.5% | Complex division, real part |
| 5.1b | 81.4% | The quadratic formula (r2) |
| 4.8b | 75.8% | Kahan p9 Example |
| 4.3b | 84.2% | The quadratic formula (r1) |