| 67× | intervals |
| 35.9s | 269715× | body | 80 | valid |
| 13.0s | 13754× | body | 1280 | valid |
| 8.4s | 16919× | body | 160 | valid |
| 5.7s | 9464× | body | 640 | valid |
| 5.4s | 3871× | body | 2560 | valid |
| 5.2s | 2157× | body | 10240 | exit |
| 3.6s | 75847× | pre | 80 | true |
| 2.5s | 19388× | body | 80 | nan |
| 2.4s | 6830× | body | 320 | valid |
| 735.0ms | 224× | body | 5120 | valid |
| 11.0ms | 100× | pre | 80 | false |
296 calls:
| 734.0ms | (* (* (+ (+ b c) (+ a d)) (+ (+ b c) (+ a d))) (+ (+ b c) (+ a d))) |
| 483.0ms | (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))) |
| 399.0ms | (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))) |
| 390.0ms | (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) |
| 386.0ms | (* (/ 1 (sqrt 2)) (/ (/ (+ (/ (/ PI (sqrt 2)) a) (/ (- (/ PI (sqrt 2))) b)) (- b a)) (+ a b))) |
| 102× | rewrite-expression-head |
296 calls:
| 3.6s | (/ (cbrt (+ (* (- 2 (* x x)) (* (- 2 (* x x)) (- 2 (* x x)))) (* (* (* (* x x) (* x x)) (* x (* (* x x) (* x x)))) 8/27))) (cbrt (+ (* (* (* (* x x) x) 2/3) (* (* (* x x) x) 2/3)) (- (* (- 2 (* x x)) (- 2 (* x x))) (* (* (* (* x x) x) 2/3) (- 2 (* x x))))))) |
| 1.4s | (+ (* (- 2 (* x x)) (* (- 2 (* x x)) (- 2 (* x x)))) (* (* (* (* x x) (* x x)) (* x (* (* x x) (* x x)))) 8/27)) |
| 939.0ms | (+ (+ (+ (* 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))) |
| 858.0ms | (+ (+ (* 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))) |
| 543.0ms | (+ (* (* (* 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))) |
| 10971× | times-frac |
| 9800× | *-un-lft-identity |
| 6467× | add-sqr-sqrt |
| 4223× | add-cube-cbrt |
| 2028× | distribute-lft-out |
| 1680× | flip-+ flip3-+ |
| 1574× | add-exp-log |
| 1452× | add-cbrt-cube |
| 1440× | associate-*r* |
| 1276× | pow1 |
| 1228× | distribute-rgt-neg-in |
| 1200× | frac-add |
| 1191× | frac-times |
| 1101× | sqrt-prod |
| 851× | difference-of-squares |
| 617× | add-log-exp |
| 575× | distribute-lft-out-- |
| 550× | prod-exp |
| 508× | associate-/l* |
| 484× | associate-*l* |
| 478× | cbrt-unprod |
| 430× | cbrt-div |
| 368× | div-exp |
| 355× | pow-prod-down |
| 354× | div-inv |
| 321× | associate-/r* |
| 312× | cbrt-undiv |
| 296× | insert-posit16 |
| 295× | pow-prod-up |
| 257× | associate-*l/ |
| 237× | exp-prod |
| 235× | associate-*r/ |
| 186× | unpow-prod-down associate-/r/ |
| 166× | flip3-- flip-- |
| 137× | sum-log |
| 131× | unswap-sqr |
| 127× | pow-sqr |
| 124× | sqr-pow |
| 117× | cbrt-prod |
| 112× | swap-sqr sqrt-div |
| 95× | pow-plus |
| 89× | difference-of-sqr-1 |
| 88× | associate-/l/ distribute-lft-neg-in |
| 86× | *-commutative |
| 73× | sub-neg |
| 63× | pow2 |
| 59× | sqrt-pow1 |
| 58× | frac-2neg clear-num |
| 56× | distribute-rgt-in distribute-lft-in |
| 54× | diff-log |
| 53× | log-prod pow1/2 |
| 42× | pow-flip |
| 41× | +-commutative |
| 36× | pow1/3 |
| 35× | div-sub |
| 29× | log-pow |
| 28× | 1-exp rec-exp |
| 25× | associate-+r+ rem-sqrt-square |
| 22× | associate-+l+ |
| 18× | log-div |
| 16× | neg-mul-1 |
| 14× | distribute-frac-neg |
| 11× | pow-exp pow-to-exp |
| 10× | exp-sum rem-exp-log |
| 9× | neg-sub0 rem-log-exp |
| 8× | cube-unmult pow3 |
| 7× | frac-sub associate--l+ distribute-lft-neg-out inv-pow |
| 6× | associate-+r- pow-unpow distribute-rgt-out-- |
| 5× | associate--r+ |
| 4× | exp-diff associate-+l- rem-cbrt-cube |
| 3× | associate--l- neg-log unsub-neg distribute-rgt-out |
| 2× | distribute-lft1-in sub-div pow-pow |
| 1× | remove-posit16 sqrt-undiv un-div-inv distribute-neg-frac associate--r- |
Total 35.7b remaining (16.1%)
Threshold costs 2.9b (1.3%)
| 11.7b | 56.6% | Compound Interest |
| 5.2b | 72.8% | Kahan p9 Example |
| 4.8b | 82.9% | The quadratic formula (r2) |
| 4.6b | 83.4% | The quadratic formula (r1) |
| 2.9b | 0% | Complex division, imag part |