| 73× | intervals |
| 24.9s | 285446× | body | 80 | valid |
| 9.4s | 25073× | body | 160 | valid |
| 9.0s | 13846× | body | 1280 | valid |
| 3.6s | 3769× | body | 2560 | valid |
| 3.6s | 2273× | body | 10240 | exit |
| 3.4s | 9547× | body | 640 | valid |
| 2.8s | 100635× | pre | 80 | true |
| 1.6s | 6940× | body | 320 | valid |
| 1.3s | 19295× | body | 80 | nan |
| 266.0ms | 252× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
289 calls:
| 823.0ms | (+ (+ (* (* x x) (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (+ 2.0 (* (pow y 4.0) 121.0)))) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* 2.0 y)))) |
| 677.0ms | (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)))) |
| 675.0ms | (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)))) |
| 648.0ms | (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)))) |
| 638.0ms | (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) |
| 101× | rewrite-expression-head |
289 calls:
| 2.1s | (+ (+ (* (* x x) (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (+ 2.0 (* (pow y 4.0) 121.0)))) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* 2.0 y)))) |
| 1.3s | (+ (+ (* 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))) |
| 903.0ms | (exp (- (log (exp (- (- (fma x y z) z) 1.0))) (* x y))) |
| 825.0ms | (+ (* (* (* 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) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 757.0ms | (- (/ (* (+ (* 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))) (+ (* 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)))) (- (+ (* 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)))) (- (/ (* (* 5.5 (pow 33096.0 8.0)) (* 5.5 (pow 33096.0 8.0))) (- (+ (* 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)))) |
| 2890× | *-un-lft-identity |
| 2805× | add-sqr-sqrt |
| 2568× | times-frac |
| 1701× | add-cube-cbrt |
| 1436× | add-exp-log |
| 1282× | add-cbrt-cube |
| 1045× | frac-times |
| 982× | flip3-- flip-- |
| 846× | pow1 |
| 790× | cbrt-div |
| 774× | frac-sub |
| 749× | associate-*r/ |
| 686× | add-log-exp |
| 626× | associate-*r* |
| 527× | prod-exp |
| 517× | flip-+ flip3-+ |
| 483× | cbrt-unprod |
| 409× | associate-*l* |
| 403× | difference-of-squares |
| 343× | associate-*l/ |
| 323× | distribute-lft-out |
| 322× | distribute-lft-out-- |
| 321× | sqrt-prod |
| 307× | associate-/r* |
| 269× | pow-prod-down |
| 265× | div-exp |
| 247× | cbrt-undiv frac-add |
| 231× | associate-/l* |
| 191× | div-inv |
| 186× | cbrt-prod |
| 172× | associate-/r/ |
| 149× | sum-log |
| 116× | sub-neg |
| 104× | unswap-sqr |
| 93× | unpow-prod-down |
| 92× | diff-log |
| 76× | *-commutative exp-neg |
| 75× | sqrt-div |
| 74× | distribute-rgt-neg-in |
| 64× | distribute-lft-neg-in |
| 63× | neg-sub0 associate-/l/ |
| 61× | exp-diff |
| 58× | sqr-pow |
| 56× | distribute-rgt-in distribute-lft-in |
| 54× | log-prod |
| 52× | frac-2neg clear-num swap-sqr |
| 36× | pow-prod-up |
| 35× | pow1/3 log-pow |
| 34× | associate--l+ |
| 33× | +-commutative |
| 30× | sqrt-pow1 |
| 28× | pow1/2 |
| 27× | exp-sum pow-plus |
| 25× | rem-sqrt-square |
| 24× | exp-prod |
| 23× | associate-+l+ |
| 22× | neg-mul-1 un-div-inv pow-sqr |
| 18× | associate-+r+ |
| 16× | div-sub |
| 15× | pow2 associate--r+ |
| 14× | pow-exp pow-to-exp |
| 10× | associate--l- 1-exp rec-exp |
| 9× | log-div |
| 7× | distribute-frac-neg rem-log-exp |
| 6× | distribute-rgt-out-- |
| 5× | distribute-lft-neg-out pow3 |
| 4× | neg-log rem-cbrt-cube distribute-rgt-out |
| 3× | associate-+r- pow-unpow |
| 2× | pow-flip cube-unmult sub-div inv-pow rem-exp-log |
| 1× | distribute-lft1-in sqrt-undiv pow-pow associate-+l- unsub-neg associate--r- |
Total 36.9b remaining (8.7%)
Threshold costs 2.9b (0.7%)
| 13.1b | 42.1% | Compound Interest |
| 4.7b | 76% | Kahan p9 Example |
| 3.4b | 85.5% | The quadratic formula (r1) |
| 3.4b | 87.5% | The quadratic formula (r2) |
| 3.4b | -13.7% | Complex division, real part |