| 73× | intervals |
| 20.5s | 294983× | body | 80 | valid |
| 6.4s | 13568× | body | 1280 | valid |
| 4.0s | 3868× | body | 2560 | valid |
| 3.7s | 16921× | body | 160 | valid |
| 3.3s | 2268× | body | 10240 | exit |
| 3.1s | 9467× | body | 640 | valid |
| 2.1s | 100591× | pre | 80 | true |
| 1.2s | 19629× | body | 80 | nan |
| 1.1s | 6805× | body | 320 | valid |
| 102.0ms | 248× | body | 5120 | valid |
| 4.0ms | 100× | pre | 80 | false |
| 104× | rewrite-expression-head |
289 calls:
| 6.1s | (cbrt (+ (* (* (* 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)))) |
| 2.6s | (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) |
| 1.2s | (+ (+ (+ (* 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))) (/ 77617.0 (* 2.0 33096.0))) |
| 1.2s | (+ (+ (* 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))) |
| 596.0ms | (+ (* (* (* 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))) |
| 4250× | times-frac |
| 4035× | add-sqr-sqrt |
| 3601× | *-un-lft-identity |
| 2265× | add-exp-log |
| 2191× | add-cube-cbrt |
| 1306× | add-cbrt-cube |
| 934× | associate-*r* |
| 891× | prod-exp |
| 806× | unpow-prod-down |
| 756× | pow1 |
| 752× | div-exp |
| 746× | associate-*r/ |
| 677× | add-log-exp |
| 512× | associate-*l* |
| 472× | cbrt-div |
| 471× | sqr-pow |
| 457× | difference-of-squares |
| 446× | flip-- flip3-- |
| 420× | unswap-sqr |
| 408× | distribute-lft-out |
| 397× | frac-times |
| 394× | cbrt-unprod |
| 373× | unpow2 |
| 343× | sqrt-prod |
| 320× | associate-/r* |
| 315× | distribute-lft-out-- |
| 295× | cbrt-undiv |
| 286× | pow-exp |
| 284× | pow-to-exp |
| 272× | associate-/l* |
| 268× | flip-+ flip3-+ |
| 243× | frac-add |
| 240× | div-inv |
| 218× | cbrt-prod |
| 217× | pow-prod-down associate-/r/ |
| 208× | associate-*l/ |
| 158× | sum-log |
| 135× | cube-prod |
| 132× | swap-sqr |
| 127× | associate-/l/ |
| 118× | sqrt-div |
| 81× | sqrt-pow1 |
| 79× | sub-neg |
| 76× | distribute-rgt-neg-in |
| 72× | diff-log |
| 70× | *-commutative frac-sub |
| 62× | clear-num frac-2neg |
| 60× | pow1/2 |
| 57× | distribute-rgt-in distribute-lft-in |
| 40× | log-prod |
| 37× | +-commutative |
| 35× | 1-exp |
| 33× | distribute-lft-neg-in |
| 32× | pow-prod-up |
| 31× | pow-unpow rem-sqrt-square |
| 30× | pow1/3 |
| 26× | pow-sqr |
| 25× | rec-exp |
| 24× | div-sub |
| 22× | associate-+l+ |
| 21× | associate--l+ |
| 17× | associate-+r+ |
| 16× | cube-div |
| 15× | unpow3 cube-mult neg-sub0 associate--r+ |
| 14× | pow-plus |
| 13× | neg-log |
| 12× | pow2 |
| 11× | neg-mul-1 sum-cubes |
| 10× | associate--l- |
| 9× | pow-pow |
| 8× | sqrt-unprod |
| 7× | log-pow exp-prod |
| 6× | associate-+r- rem-cbrt-cube |
| 5× | unsub-neg inv-pow distribute-lft-neg-out pow-flip exp-to-pow |
| 4× | distribute-frac-neg exp-sum rem-log-exp log-div |
| 3× | rem-exp-log distribute-rgt-out |
| 2× | exp-diff un-div-inv distribute-lft1-in distribute-rgt-out-- rem-square-sqrt associate-+l- |
| 1× | rem-cube-cbrt sub-div associate--r- |
289 calls:
| 706.0ms | (log (pow (exp 1/4) (* (/ (pow x 2) (pow 1.0 2)) (/ (pow x 2) (pow 1.0 2))))) |
| 482.0ms | (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)))) |
| 476.0ms | (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)))) |
| 476.0ms | (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)))) |
| 476.0ms | (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 33.9b remaining (7.8%)
Threshold costs 2.9b (0.7%)
| 10.5b | 53.4% | Compound Interest |
| 4.5b | 77.4% | Kahan p9 Example |
| 3.9b | 86.3% | The quadratic formula (r2) |
| 3.3b | 0% | Complex division, imag part |
| 3.3b | 87.9% | The quadratic formula (r1) |