| 72× | intervals |
| 24.4s | 286450× | body | 80 | valid |
| 8.9s | 13861× | body | 1280 | valid |
| 5.2s | 17107× | body | 160 | valid |
| 4.4s | 9354× | body | 640 | valid |
| 4.3s | 3831× | body | 2560 | valid |
| 3.3s | 2227× | body | 10240 | exit |
| 2.7s | 100605× | pre | 80 | true |
| 2.5s | 6845× | body | 320 | valid |
| 1.8s | 19460× | body | 80 | nan |
| 209.0ms | 253× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
| 108× | rewrite-expression-head |
321 calls:
| 7.1s | (+ (* (- (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (* (+ (* (/ 77617.0 (* 2.0 33096.0)) (* (/ 77617.0 (* 2.0 33096.0)) (/ 77617.0 (* 2.0 33096.0)))) (* (* (* 5.5 (pow 33096.0 8.0)) (* 5.5 (pow 33096.0 8.0))) (* 5.5 (pow 33096.0 8.0)))) (* (+ (* (/ 77617.0 (* 2.0 33096.0)) (* (/ 77617.0 (* 2.0 33096.0)) (/ 77617.0 (* 2.0 33096.0)))) (* (* (* 5.5 (pow 33096.0 8.0)) (* 5.5 (pow 33096.0 8.0))) (* 5.5 (pow 33096.0 8.0)))) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0)))))) (* (* (* (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0)))) (- (* (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0))) (* (* 333.75 (pow 33096.0 6.0)) (* 333.75 (pow 33096.0 6.0))))) (* (+ (* (* 5.5 (pow 33096.0 8.0)) (* 5.5 (pow 33096.0 8.0))) (- (* (/ 77617.0 (* 2.0 33096.0)) (/ 77617.0 (* 2.0 33096.0))) (* (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))))) (+ (* (* 5.5 (pow 33096.0 8.0)) (* 5.5 (pow 33096.0 8.0))) (- (* (/ 77617.0 (* 2.0 33096.0)) (/ 77617.0 (* 2.0 33096.0))) (* (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0)))))))) |
| 6.9s | (+ (* (* (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0)))) (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0)))) (* (* (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0)))) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))))) |
| 4.1s | (+ (+ (* (* 77617.0 77617.0) (+ (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) -2.0)) (* 333.75 (pow 33096.0 6.0))) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0)))) |
| 3.8s | (- (+ (* 1.0 x) (+ (* (* (/ x 1.0) (* (/ x 1.0) (/ x 1.0))) 1/3) (* 1/2 (* (/ x 1.0) (/ x 1.0))))) (* 1.0 (* x x))) |
| 1.6s | (* (* x1 x1) (- (* (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))) (* 6.0 6.0))) |
| 80330× | frac-times |
| 47240× | flip-+ flip3-+ |
| 28292× | associate-*r/ |
| 23803× | associate-*l/ |
| 20213× | frac-add |
| 13492× | flip3-- flip-- |
| 2932× | *-un-lft-identity |
| 2736× | add-sqr-sqrt |
| 2634× | times-frac |
| 1798× | add-cube-cbrt |
| 1569× | add-exp-log |
| 1474× | add-cbrt-cube |
| 954× | pow1 |
| 818× | add-log-exp |
| 621× | associate-*r* |
| 558× | prod-exp |
| 499× | cbrt-unprod |
| 479× | associate-*l* |
| 454× | cbrt-div |
| 434× | sqrt-prod |
| 362× | distribute-lft-out |
| 335× | difference-of-squares |
| 304× | div-exp |
| 292× | associate-/r* |
| 289× | cbrt-undiv |
| 281× | pow-prod-down |
| 260× | distribute-lft-out-- |
| 259× | associate-/l* |
| 209× | sum-log |
| 200× | associate-/r/ |
| 185× | div-inv |
| 127× | sqrt-div |
| 111× | frac-sub |
| 109× | sub-neg |
| 101× | cbrt-prod |
| 100× | unswap-sqr |
| 94× | diff-log |
| 90× | distribute-rgt-neg-in |
| 89× | unpow-prod-down |
| 84× | *-commutative |
| 82× | distribute-lft-neg-in |
| 79× | distribute-rgt-in distribute-lft-in |
| 78× | associate-/l/ |
| 77× | exp-neg |
| 67× | swap-sqr |
| 65× | pow-prod-up |
| 64× | neg-sub0 |
| 60× | exp-diff |
| 59× | frac-2neg clear-num |
| 58× | sqr-pow |
| 48× | sqrt-pow1 pow1/2 |
| 47× | +-commutative |
| 39× | pow-sqr |
| 37× | associate-+r+ pow-plus rem-sqrt-square |
| 35× | pow1/3 |
| 34× | log-prod |
| 32× | associate-+l+ |
| 28× | neg-mul-1 |
| 25× | div-sub exp-prod |
| 21× | pow2 un-div-inv |
| 19× | associate--r+ |
| 15× | pow-exp associate--l+ pow-to-exp |
| 14× | exp-sum |
| 10× | distribute-frac-neg log-div |
| 9× | 1-exp |
| 8× | associate--l- rec-exp pow3 log-pow |
| 7× | distribute-lft-neg-out sqrt-unprod |
| 5× | associate-+r- |
| 4× | cube-prod cube-unmult neg-log rem-cbrt-cube |
| 3× | pow-unpow rem-log-exp rem-exp-log |
| 2× | distribute-lft1-in pow-flip inv-pow associate--r- distribute-rgt-out |
| 1× | unpow3 sum-cubes pow-pow exp-to-pow rem-square-sqrt cube-mult |
321 calls:
| 904.0ms | (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) |
| 673.0ms | (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) |
| 656.0ms | (* 333.75 (pow y 6.0)) |
| 647.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 630.0ms | (cbrt (* (* (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))))) |
Total 32.6b remaining (8.6%)
Threshold costs 3.5b (0.9%)
| 10.7b | 53.1% | Compound Interest |
| 4.5b | 76.8% | Kahan p9 Example |
| 4.2b | 85.6% | The quadratic formula (r2) |
| 3.1b | 0% | Complex division, real part |
| 2.8b | 87.5% | The quadratic formula (r1) |