| 67× | intervals |
| 36.7s | 269448× | body | 80 | valid |
| 12.0s | 13771× | body | 1280 | valid |
| 8.4s | 16830× | body | 160 | valid |
| 6.4s | 9477× | body | 640 | valid |
| 5.6s | 3895× | body | 2560 | valid |
| 4.8s | 2170× | body | 10240 | exit |
| 3.5s | 75932× | pre | 80 | true |
| 3.0s | 6903× | body | 320 | valid |
| 2.8s | 19333× | body | 80 | nan |
| 325.0ms | 232× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
305 calls:
| 823.0ms | (* (/ (- (* x2 2) (- x1 (* (* x1 x1) 3))) (+ 1 (* x1 x1))) (+ (* (* x1 x1) 3) (* (* 2 (+ 1 (* x1 x1))) (* (- (/ (- (* x2 2) (- x1 (* (* x1 x1) 3))) (+ 1 (* x1 x1))) 3) x1)))) |
| 764.0ms | (* (/ (- (* x2 2) (- x1 (* (* x1 x1) 3))) (+ 1 (* x1 x1))) (+ (* (* x1 x1) 3) (* (* 2 (+ 1 (* x1 x1))) (* (- (/ (- (* x2 2) (- x1 (* (* x1 x1) 3))) (+ 1 (* x1 x1))) 3) x1)))) |
| 479.0ms | (+ (* (* (* 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 (* x1 x1)))) |
| 465.0ms | (/ (sqrt (/ (- 1 v) (* (- 3 (* 2 v)) 0.125))) w) |
| 433.0ms | (+ (* (* (* 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))) |
| 102× | rewrite-expression-head |
305 calls:
| 1.7s | (/ (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x)) (* (* x x) (+ (- (* x x) (* x (* x x))) (* (* x x) (* x x))))) |
| 1.3s | (+ (* (* (* 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 (* x1 x1)))) |
| 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))) |
| 887.0ms | (+ (+ (+ (* 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))) (/ 77617 (* 2 33096))) |
| 671.0ms | (- (+ (exp (+ (- x) (* x eps))) (/ (exp (+ (- x) (* x eps))) eps)) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps))))) |
| 6975× | times-frac |
| 5799× | add-sqr-sqrt |
| 5666× | *-un-lft-identity |
| 2888× | add-cube-cbrt |
| 1491× | add-exp-log |
| 1354× | add-cbrt-cube |
| 1211× | pow1 |
| 985× | difference-of-squares |
| 933× | distribute-lft-out-- |
| 761× | associate-*r* |
| 687× | add-log-exp |
| 613× | sqrt-prod |
| 517× | associate-/l* |
| 512× | associate-*l* |
| 477× | prod-exp |
| 454× | distribute-lft-out |
| 416× | cbrt-unprod |
| 403× | div-inv |
| 334× | div-exp |
| 322× | pow-prod-down |
| 305× | insert-posit16 |
| 289× | associate-/r* |
| 277× | cbrt-undiv |
| 220× | associate-/r/ |
| 219× | unpow-prod-down |
| 214× | flip-+ flip3-+ |
| 166× | pow-prod-up |
| 149× | sqr-pow |
| 142× | flip3-- flip-- |
| 138× | sum-log |
| 133× | associate-*r/ |
| 124× | unswap-sqr |
| 103× | associate-*l/ |
| 96× | sqrt-div |
| 92× | pow-sqr |
| 90× | difference-of-sqr-1 |
| 89× | *-commutative |
| 88× | distribute-rgt-neg-in |
| 85× | diff-log |
| 82× | cbrt-prod |
| 81× | sub-neg |
| 80× | distribute-lft-neg-in |
| 79× | pow-plus |
| 69× | frac-times |
| 67× | frac-2neg clear-num |
| 65× | associate-/l/ |
| 62× | sqrt-pow1 |
| 59× | exp-prod |
| 58× | swap-sqr |
| 55× | pow2 |
| 46× | distribute-rgt-in distribute-lft-in |
| 42× | pow1/2 |
| 41× | frac-sub |
| 39× | frac-add |
| 37× | +-commutative |
| 34× | rem-sqrt-square |
| 31× | log-pow |
| 28× | log-prod neg-mul-1 |
| 25× | cbrt-div |
| 24× | associate-+l+ div-sub rem-exp-log |
| 23× | pow1/3 1-exp rec-exp |
| 21× | exp-diff |
| 18× | associate-+r+ exp-sum |
| 17× | neg-sub0 |
| 16× | log-div |
| 13× | pow-exp |
| 12× | pow-to-exp |
| 11× | associate--l+ distribute-lft-neg-out associate-+l- |
| 10× | associate--l- distribute-frac-neg |
| 9× | pow-unpow neg-log |
| 8× | associate--r+ distribute-rgt-out-- |
| 6× | pow-flip inv-pow rem-log-exp |
| 4× | un-div-inv distribute-neg-frac |
| 3× | remove-posit16 cube-unmult pow-pow distribute-rgt-out |
| 2× | distribute-lft1-in distribute-rgt-neg-out pow3 sqrt-unprod sub-div associate--r- |
| 1× | unpow-prod-up associate-+r- rem-square-sqrt unsub-neg e-exp-1 pow-sub |
Total 31.9b remaining (14.7%)
Threshold costs 2.7b (1.2%)
| 11.9b | 55.9% | Compound Interest |
| 5.2b | 81.1% | The quadratic formula (r2) |
| 4.6b | 77.8% | Kahan p9 Example |
| 4.3b | 84.7% | The quadratic formula (r1) |
| 1.9b | 0% | Complex division, real part |