| 73× | intervals |
| 27.7s | 294370× | body | 80 | valid |
| 9.7s | 13911× | body | 1280 | valid |
| 5.6s | 16922× | body | 160 | valid |
| 5.3s | 9351× | body | 640 | valid |
| 4.0s | 3785× | body | 2560 | valid |
| 3.2s | 2209× | body | 10240 | exit |
| 2.6s | 100585× | pre | 80 | true |
| 1.9s | 6694× | body | 320 | valid |
| 1.4s | 19228× | body | 80 | nan |
| 197.0ms | 225× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
| 110× | rewrite-expression-head |
315 calls:
| 10.3s | (+ (pow (* 5.5 (pow 33096.0 8.0)) 3) (* (* (+ (* (* 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))))) |
| 10.1s | (+ (pow (* 5.5 (pow 33096.0 8.0)) 3) (* (* (+ (* (* 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))))) |
| 6.1s | (+ (pow (* 5.5 (pow 33096.0 8.0)) 3) (pow (+ (* (* 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))) 3)) |
| 4.3s | (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) |
| 2.1s | (pow (+ (* (* 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))) 3) |
| 3424× | add-sqr-sqrt |
| 3392× | *-un-lft-identity |
| 3247× | times-frac |
| 2058× | add-cube-cbrt |
| 1362× | add-exp-log |
| 1135× | add-cbrt-cube |
| 1103× | frac-times |
| 1011× | associate-*r/ |
| 950× | cbrt-div |
| 914× | flip-+ flip3-+ |
| 710× | add-log-exp |
| 694× | pow1 |
| 653× | associate-*l/ |
| 618× | frac-add |
| 556× | associate-*r* |
| 545× | difference-of-squares |
| 477× | associate-*l* |
| 457× | flip3-- flip-- |
| 426× | cbrt-prod |
| 425× | prod-exp |
| 408× | unpow-prod-down |
| 380× | associate-/r* |
| 376× | distribute-lft-out-- |
| 356× | distribute-lft-out |
| 328× | associate-/l* |
| 322× | cbrt-unprod |
| 270× | div-exp |
| 221× | sqrt-prod |
| 217× | div-inv |
| 212× | cbrt-undiv |
| 188× | associate-/r/ |
| 181× | sqr-pow |
| 173× | pow-prod-down |
| 160× | associate-/l/ |
| 159× | sum-log |
| 140× | unswap-sqr |
| 100× | cube-prod |
| 94× | sub-neg |
| 73× | distribute-rgt-in distribute-lft-in *-commutative |
| 71× | diff-log |
| 65× | clear-num frac-2neg |
| 64× | distribute-rgt-neg-in |
| 61× | sqrt-div |
| 58× | swap-sqr |
| 56× | pow1/3 pow-exp |
| 54× | distribute-lft-neg-in |
| 53× | sqrt-pow1 |
| 51× | unpow2 |
| 47× | +-commutative |
| 44× | associate-+r+ |
| 42× | pow-to-exp |
| 39× | pow-unpow |
| 34× | div-sub |
| 33× | pow1/2 |
| 29× | rem-sqrt-square |
| 26× | cube-div exp-sum log-prod |
| 24× | cube-mult pow-pow |
| 23× | unpow3 |
| 22× | pow-prod-up |
| 20× | associate-+l+ rec-exp 1-exp |
| 18× | pow-sqr neg-mul-1 |
| 14× | frac-sub |
| 13× | rem-cube-cbrt |
| 11× | distribute-frac-neg |
| 10× | neg-sub0 |
| 9× | associate--l- pow2 log-pow pow-plus |
| 8× | pow-flip rem-cbrt-cube associate--r+ |
| 7× | exp-prod neg-log |
| 5× | inv-pow associate-+r- |
| 4× | unsub-neg distribute-lft-neg-out log-div |
| 3× | distribute-rgt-out sum-cubes exp-to-pow |
| 2× | exp-diff sub0-neg rem-exp-log distribute-lft1-in pow3 rem-log-exp |
| 1× | un-div-inv sqrt-unprod distribute-rgt-out-- sub-div rem-square-sqrt associate--r- associate-+l- associate--l+ |
315 calls:
| 808.0ms | (+ (* (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (+ (* (* 3.0 x1) x1) (* (* (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) (* 2.0 x1)) (+ (* x1 x1) 1.0)))) (* (+ (* x1 x1) 1.0) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 801.0ms | (+ (* (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (/ (+ (* (* (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) (* 2.0 x1)) (+ (* x1 x1) 1.0)) (* 3.0 (pow x1 2))) (+ (* x1 x1) 1.0))) (* (+ (* x1 x1) 1.0) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 793.0ms | (+ (* (* (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (* (cbrt (+ (* (* 3.0 x1) x1) (* (* (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) (* 2.0 x1)) (+ (* x1 x1) 1.0)))) (cbrt (+ (* (* 3.0 x1) x1) (* (* (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) (* 2.0 x1)) (+ (* x1 x1) 1.0)))))) (cbrt (+ (* (* 3.0 x1) x1) (* (* (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) (* 2.0 x1)) (+ (* x1 x1) 1.0))))) (* (+ (* x1 x1) 1.0) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 727.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4)) |
| 701.0ms | (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n)) |
Total 31.2b remaining (7.3%)
Threshold costs 3.5b (0.8%)
| 10.9b | 57% | Compound Interest |
| 4.5b | 77.5% | Kahan p9 Example |
| 3.2b | 88.1% | The quadratic formula (r1) |
| 2.9b | 0% | Complex division, real part |
| 2.5b | 24.6% | Complex division, imag part |