| 67× | intervals |
| 39.5s | 269541× | body | 80 | valid |
| 12.8s | 13870× | body | 1280 | valid |
| 6.9s | 16814× | body | 160 | valid |
| 5.5s | 9291× | body | 640 | valid |
| 5.2s | 3849× | body | 2560 | valid |
| 4.5s | 2233× | body | 10240 | exit |
| 3.5s | 6892× | body | 320 | valid |
| 3.4s | 75773× | pre | 80 | true |
| 2.1s | 19430× | body | 80 | nan |
| 306.0ms | 237× | body | 5120 | valid |
| 11.0ms | 100× | pre | 80 | false |
324 calls:
| 567.0ms | (cbrt (+ (* (* (* 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)))) |
| 545.0ms | (cbrt (+ (* (* (* 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)))) |
| 531.0ms | (cbrt (+ (* (* (* 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)))) |
| 505.0ms | (cbrt (+ (* (* (* 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)))) |
| 483.0ms | (cbrt (+ (* (* (* 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)))) |
| 106× | rewrite-expression-head |
324 calls:
| 1.4s | (+ (+ (* x (* x x)) (* -1/2 (* (* x (* x x)) (* x (* x x))))) (* (pow x 9) 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))) |
| 989.0ms | (* x1 (* (* (- (/ (- (* x2 2) (- x1 (* (* 3 x1) x1))) (+ 1 (* x1 x1))) 3) 2) (/ (- (* x2 2) (- x1 (* (* 3 x1) x1))) (+ 1 (* x1 x1))))) |
| 742.0ms | (+ (+ (* 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))) |
| 734.0ms | (+ (* (* (* 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))) |
| 4713× | frac-times |
| 3318× | flip-+ flip3-+ |
| 3294× | *-un-lft-identity |
| 3239× | add-sqr-sqrt |
| 3036× | times-frac |
| 1977× | pow1 |
| 1887× | add-cube-cbrt |
| 1824× | add-exp-log |
| 1724× | add-cbrt-cube |
| 1490× | associate-*r/ |
| 1481× | associate-*l/ |
| 881× | cbrt-div |
| 823× | associate-*r* |
| 776× | add-log-exp |
| 672× | prod-exp |
| 656× | difference-of-squares |
| 632× | cbrt-unprod |
| 542× | associate-*l* |
| 521× | pow-prod-down |
| 458× | pow-prod-up |
| 389× | div-exp |
| 373× | distribute-lft-out |
| 341× | cbrt-undiv |
| 328× | sqrt-prod |
| 324× | insert-posit16 |
| 271× | associate-/l* |
| 244× | associate-/r* |
| 228× | distribute-lft-out-- unpow-prod-down |
| 226× | flip3-- flip-- |
| 223× | div-inv |
| 205× | pow-plus |
| 199× | pow-sqr |
| 197× | associate-/r/ |
| 196× | sqr-pow |
| 190× | cbrt-prod |
| 185× | sum-log |
| 183× | difference-of-sqr-1 |
| 127× | sqrt-div |
| 126× | pow2 |
| 122× | unswap-sqr |
| 121× | sub-neg |
| 113× | exp-prod |
| 104× | frac-add |
| 100× | distribute-rgt-neg-in |
| 95× | exp-sum |
| 94× | *-commutative |
| 91× | distribute-lft-neg-in |
| 87× | swap-sqr |
| 86× | diff-log |
| 71× | distribute-rgt-in distribute-lft-in |
| 69× | associate-/l/ |
| 67× | log-prod |
| 60× | frac-2neg clear-num log-pow |
| 49× | +-commutative |
| 41× | associate--l+ |
| 34× | sqrt-pow1 |
| 33× | pow1/2 |
| 31× | neg-mul-1 rem-sqrt-square |
| 27× | frac-sub |
| 25× | associate-+l+ |
| 23× | pow1/3 |
| 21× | 1-exp rec-exp |
| 17× | div-sub log-div |
| 16× | associate-+r+ |
| 15× | rem-exp-log |
| 13× | pow-exp pow-to-exp |
| 9× | associate--l- pow-flip pow3 inv-pow |
| 8× | distribute-rgt-out-- pow-div rem-log-exp |
| 7× | exp-diff difference-of-sqr--1 distribute-frac-neg associate--r+ distribute-lft-neg-out |
| 6× | neg-sub0 pow-unpow sub-div |
| 4× | neg-log un-div-inv |
| 3× | exp-to-pow associate-+l- associate--r- distribute-rgt-out |
| 2× | distribute-lft1-in remove-posit16 cube-unmult pow-pow rem-cbrt-cube |
| 1× | unsub-neg e-exp-1 |
Total 37.6b remaining (16.5%)
Threshold costs 2.6b (1.1%)
| 12.2b | 46.6% | Compound Interest |
| 5.7b | 79.7% | The quadratic formula (r2) |
| 4.7b | 75.9% | Kahan p9 Example |
| 4.4b | 84.7% | The quadratic formula (r1) |
| 2.6b | 0% | Complex division, real part |