| 112× | rewrite-expression-head |
340 calls:
| 15.3s | (+ (+ (* (* x x) (- (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0)) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* y 2.0)))) |
| 14.9s | (+ (+ (* (* x x) (- (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0)) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* y 2.0)))) |
| 11.3s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)))) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 10.0s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)))))) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 2.1s | (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) |
| 7250× | times-frac |
| 5001× | *-un-lft-identity |
| 4938× | add-sqr-sqrt |
| 4559× | cbrt-div |
| 3812× | add-cube-cbrt |
| 3524× | frac-times |
| 3376× | associate-*r/ |
| 2694× | flip3-- flip-- |
| 1754× | add-exp-log |
| 1648× | add-cbrt-cube |
| 1427× | frac-add |
| 1353× | associate-*l/ |
| 1312× | pow1 |
| 853× | add-log-exp |
| 787× | log-pow |
| 734× | exp-prod |
| 696× | associate-*l* |
| 655× | associate-*r* |
| 609× | prod-exp |
| 591× | flip-+ flip3-+ |
| 560× | cbrt-unprod |
| 453× | div-inv |
| 424× | difference-of-squares |
| 400× | associate-/r* |
| 373× | pow-prod-down |
| 353× | div-exp |
| 352× | distribute-lft-out |
| 345× | associate-/l* |
| 340× | insert-posit16 |
| 339× | cbrt-undiv |
| 301× | distribute-lft-out-- |
| 277× | associate-/l/ |
| 237× | associate-/r/ |
| 217× | sqrt-prod |
| 202× | sum-log |
| 154× | cbrt-prod |
| 140× | pow-prod-up |
| 123× | unpow-prod-down |
| 120× | unswap-sqr |
| 114× | sub-neg |
| 107× | swap-sqr |
| 103× | distribute-rgt-neg-in |
| 95× | diff-log |
| 94× | sqrt-div |
| 93× | *-commutative |
| 90× | distribute-lft-neg-in |
| 80× | distribute-rgt-in distribute-lft-in |
| 78× | sqr-pow |
| 71× | log-prod |
| 70× | pow-sqr |
| 67× | associate-+r+ pow-plus |
| 65× | frac-2neg clear-num |
| 63× | frac-sub |
| 62× | sqrt-pow1 |
| 54× | +-commutative |
| 44× | pow2 |
| 43× | cube-prod |
| 42× | pow1/2 |
| 34× | rem-sqrt-square |
| 29× | associate--l+ |
| 27× | div-sub |
| 25× | cube-unmult neg-mul-1 |
| 23× | associate-+l+ exp-sum |
| 21× | rem-log-exp |
| 18× | exp-to-pow |
| 17× | pow1/3 |
| 14× | rem-exp-log |
| 13× | pow-exp pow-to-exp |
| 10× | associate--r+ associate--r- |
| 9× | distribute-neg-frac |
| 8× | 1-exp neg-sub0 rec-exp associate--l- sum-cubes |
| 7× | associate-+r- pow3 |
| 6× | pow-unpow neg-log |
| 5× | pow-pow |
| 4× | exp-diff distribute-frac-neg associate-+l- log-div |
| 3× | distribute-rgt-neg-out distribute-lft-neg-out difference-cubes un-div-inv rem-cbrt-cube |
| 2× | remove-posit16 unpow3 cube-mult unsub-neg |
| 1× | pow-flip rem-cube-cbrt distribute-lft1-in sqrt-unprod inv-pow rem-square-sqrt distribute-rgt-out distribute-rgt1-in |
| 73× | intervals |
| 25.8s | 286340× | body | 80 | valid |
| 8.7s | 13759× | body | 1280 | valid |
| 8.5s | 25065× | body | 160 | valid |
| 4.5s | 9295× | body | 640 | valid |
| 4.0s | 3938× | body | 2560 | valid |
| 3.7s | 100660× | pre | 80 | true |
| 2.8s | 2216× | body | 10240 | exit |
| 2.0s | 6881× | body | 320 | valid |
| 1.8s | 19428× | body | 80 | nan |
| 195.0ms | 245× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
340 calls:
| 1.3s | (cbrt (* (* (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (- (* 9.0 (pow x 4.0)) (pow y 4.0))) (- (* 9.0 (pow x 4.0)) (pow y 4.0)))) |
| 1.3s | (+ (+ (* (* x x) (- (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0)) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* y 2.0)))) |
| 1.2s | (+ (+ (* (* x x) (- (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0)) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* y 2.0)))) |
| 1.2s | (log (* (cbrt (exp (/ 1/2 (/ 1.0 x)))) (cbrt (exp (/ 1/2 (/ 1.0 x)))))) |
| 1.0s | (cbrt (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
Total 37.9b remaining (9.5%)
Threshold costs 1.9b (0.5%)
| 11.4b | 50.3% | Compound Interest |
| 5.1b | 82.4% | The quadratic formula (r2) |
| 4.7b | 76.5% | Kahan p9 Example |
| 4.7b | 83.9% | The quadratic formula (r1) |
| 3.1b | 0% | Complex division, real part |