| 67× | intervals |
| 33.6s | 268656× | body | 80 | valid |
| 12.6s | 13736× | body | 1280 | valid |
| 8.3s | 16987× | body | 160 | valid |
| 5.9s | 9595× | body | 640 | valid |
| 5.6s | 3850× | body | 2560 | valid |
| 4.5s | 2183× | body | 10240 | exit |
| 3.4s | 75854× | pre | 80 | true |
| 3.0s | 6737× | body | 320 | valid |
| 1.9s | 19130× | body | 80 | nan |
| 822.0ms | 247× | body | 5120 | valid |
| 5.0ms | 100× | pre | 80 | false |
| 97× | rewrite-expression-head |
295 calls:
| 1.7s | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* (* (cbrt (* (* x1 x1) (* (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))))) (cbrt (* (* x1 x1) (* (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))))) (cbrt (* (* x1 x1) (* (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))))) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) |
| 983.0ms | (+ (+ (+ (* 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))) |
| 902.0ms | (+ (+ (* 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))) |
| 690.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* (* x1 x1) (* (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) |
| 637.0ms | (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3) |
| 80633× | cbrt-div |
| 49131× | associate-*r/ |
| 45093× | frac-times |
| 30384× | flip3-- flip-- |
| 15719× | associate-*l/ |
| 11090× | frac-add |
| 6310× | times-frac |
| 5166× | add-sqr-sqrt |
| 4671× | *-un-lft-identity |
| 2848× | add-cube-cbrt |
| 1638× | add-exp-log |
| 1367× | add-cbrt-cube |
| 993× | associate-*r* |
| 940× | cbrt-prod |
| 897× | pow1 |
| 850× | difference-of-squares |
| 789× | add-log-exp |
| 500× | prod-exp |
| 480× | associate-*l* |
| 459× | div-exp |
| 446× | cbrt-unprod |
| 437× | distribute-lft-out-- |
| 383× | div-inv |
| 359× | flip-+ flip3-+ |
| 357× | distribute-lft-out |
| 331× | cbrt-undiv associate-/l* |
| 318× | associate-/r* |
| 301× | unpow-prod-down |
| 295× | insert-posit16 |
| 265× | pow-prod-down |
| 242× | sqrt-prod |
| 229× | sqr-pow |
| 204× | unswap-sqr |
| 187× | associate-/r/ |
| 180× | sum-log |
| 161× | difference-of-sqr-1 |
| 133× | associate-/l/ |
| 120× | diff-log |
| 107× | sub-neg |
| 97× | cube-prod |
| 77× | sqrt-div distribute-rgt-neg-in |
| 71× | frac-sub |
| 66× | distribute-lft-neg-in |
| 65× | *-commutative |
| 63× | log-prod |
| 59× | frac-2neg distribute-rgt-in clear-num distribute-lft-in |
| 57× | sqrt-pow1 |
| 56× | exp-prod |
| 53× | pow-prod-up |
| 46× | exp-sum |
| 43× | +-commutative |
| 37× | pow1/2 |
| 35× | associate-+l+ swap-sqr log-pow |
| 34× | 1-exp rec-exp |
| 33× | pow-sqr |
| 28× | pow-plus |
| 22× | associate--l+ neg-mul-1 rem-sqrt-square |
| 20× | log-div |
| 19× | pow1/3 div-sub |
| 17× | associate--r+ rem-exp-log |
| 16× | associate-+r+ pow2 |
| 14× | pow-exp pow-to-exp |
| 11× | associate--l- |
| 10× | rem-log-exp |
| 9× | pow-unpow |
| 8× | pow-flip pow-div inv-pow |
| 7× | cube-mult associate--r- |
| 6× | neg-sub0 pow-pow |
| 5× | neg-log difference-cubes |
| 4× | remove-posit16 exp-diff distribute-frac-neg distribute-lft-neg-out |
| 3× | associate-+r- distribute-rgt-out-- cube-unmult |
| 2× | pow3 unpow3 un-div-inv associate-+l- rem-cbrt-cube |
| 1× | rem-cube-cbrt distribute-lft1-in sqrt-unprod sub-div exp-to-pow rem-square-sqrt distribute-rgt-out |
295 calls:
| 796.0ms | (+ (* (* (* 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))) |
| 653.0ms | (cbrt (/ (- t1) (+ t1 u))) |
| 482.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* (* x1 x1) (* (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) (cbrt (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6)))) |
| 467.0ms | (/ (/ (- (pow (+ 1 (/ i n)) n) 1) (* (cbrt i) (cbrt i))) (/ (cbrt i) n)) |
| 417.0ms | (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) |
Total 37.2b remaining (15%)
Threshold costs 2.7b (1.1%)
| 10.2b | 55.1% | Compound Interest |
| 5.3b | 73.4% | Kahan p9 Example |
| 4.7b | 83.1% | The quadratic formula (r2) |
| 4.4b | 83.9% | The quadratic formula (r1) |
| 2.6b | 0% | Complex division, real part |