| 67× | intervals |
| 37.4s | 269560× | body | 80 | valid |
| 12.9s | 13921× | body | 1280 | valid |
| 7.9s | 16735× | body | 160 | valid |
| 5.8s | 9326× | body | 640 | valid |
| 5.3s | 2316× | body | 10240 | exit |
| 5.2s | 3888× | body | 2560 | valid |
| 3.9s | 75820× | pre | 80 | true |
| 3.5s | 6890× | body | 320 | valid |
| 2.9s | 19765× | body | 80 | nan |
| 256.0ms | 218× | body | 5120 | valid |
| 10.0ms | 100× | pre | 80 | false |
| 104× | rewrite-expression-head |
320 calls:
| 4.8s | (+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))))) |
| 4.6s | (log (+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))))) |
| 1.4s | (exp (+ (exp (* (- eps 1) x)) (+ (- (/ (exp (* (- eps 1) x)) eps) (/ (exp (* x (- -1 eps))) eps)) (exp (* x (- -1 eps)))))) |
| 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))) |
| 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))) |
| 6705× | times-frac |
| 6102× | *-un-lft-identity |
| 5807× | add-sqr-sqrt |
| 2959× | add-cube-cbrt |
| 1590× | add-exp-log |
| 1518× | add-cbrt-cube |
| 1166× | difference-of-squares |
| 1134× | associate-*r* |
| 988× | pow1 |
| 962× | sqrt-prod |
| 836× | add-log-exp |
| 785× | distribute-lft-out-- |
| 698× | distribute-lft-out |
| 630× | associate-*r/ |
| 546× | associate-*l* |
| 527× | prod-exp |
| 499× | cbrt-unprod |
| 485× | div-inv |
| 440× | associate-/l* |
| 375× | flip3-- flip-- |
| 361× | cbrt-div |
| 351× | div-exp |
| 326× | frac-times cbrt-undiv |
| 320× | insert-posit16 |
| 313× | flip-+ flip3-+ |
| 304× | associate-/r* |
| 274× | pow-prod-down associate-/r/ |
| 213× | sum-log |
| 207× | associate-*l/ |
| 192× | unpow-prod-down |
| 184× | frac-add |
| 151× | sqr-pow |
| 149× | sqrt-div |
| 127× | swap-sqr |
| 116× | cbrt-prod |
| 109× | unswap-sqr |
| 101× | sub-neg |
| 100× | diff-log |
| 91× | difference-of-sqr-1 |
| 86× | *-commutative |
| 85× | distribute-rgt-in distribute-lft-in |
| 84× | distribute-rgt-neg-in |
| 81× | distribute-lft-neg-in |
| 77× | exp-prod |
| 66× | pow-prod-up |
| 65× | log-prod |
| 59× | associate-/l/ |
| 55× | frac-2neg clear-num |
| 53× | +-commutative |
| 46× | pow-sqr |
| 39× | pow-plus |
| 38× | frac-sub |
| 37× | log-div |
| 36× | sqrt-pow1 |
| 34× | pow1/2 |
| 33× | associate--l+ |
| 32× | associate-+r+ log-pow rem-sqrt-square |
| 31× | associate-+l+ exp-sum |
| 28× | pow2 |
| 27× | neg-mul-1 |
| 23× | div-sub |
| 19× | pow1/3 |
| 18× | rem-exp-log |
| 17× | distribute-rgt-out-- |
| 13× | 1-exp rec-exp |
| 12× | difference-of-sqr--1 |
| 11× | pow-exp pow-to-exp rem-log-exp |
| 10× | distribute-lft1-in distribute-frac-neg distribute-rgt-out |
| 9× | associate--l- |
| 8× | pow-flip pow-div inv-pow |
| 7× | exp-diff distribute-lft-neg-out |
| 5× | neg-sub0 associate--r+ |
| 4× | associate-+r- pow3 sub-div |
| 3× | pow-unpow cube-unmult exp-to-pow associate-+l- |
| 2× | remove-posit16 exp-lft-sqr neg-log rem-cbrt-cube |
| 1× | pow-pow un-div-inv associate--r- |
320 calls:
| 707.0ms | (log (+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x)))))) |
| 474.0ms | (+ (* (* (* 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))) |
| 418.0ms | (log (+ (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))) (* (* (exp 2) (* x (* x (* x 2/3)))) (- (* (exp 2) (* x (* x (* x 2/3)))) (- (exp 2) (* (* (exp 2) x) x)))))) |
| 406.0ms | (* (sqrt (sqrt x)) (* (sqrt x) (+ (* x x) x))) |
| 399.0ms | (+ (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) (* (* (* (* (exp 2) x) x) x) 8/27))) (* (- (exp 2) (* (* (exp 2) x) x)) (* (- (exp 2) (* (* (exp 2) x) x)) (- (exp 2) (* (* (exp 2) x) x))))) |
Total 35.6b remaining (15.7%)
Threshold costs 2.6b (1.1%)
| 10.8b | 52.1% | Compound Interest |
| 4.9b | 82.4% | The quadratic formula (r1) |
| 4.8b | 75.9% | Kahan p9 Example |
| 4.6b | 82.7% | The quadratic formula (r2) |
| 2.6b | 0% | Complex division, imag part |