| 73× | intervals |
| 26.1s | 286450× | body | 80 | valid |
| 9.8s | 25107× | body | 160 | valid |
| 9.1s | 13861× | body | 1280 | valid |
| 4.4s | 3831× | body | 2560 | valid |
| 4.1s | 9354× | body | 640 | valid |
| 3.3s | 100605× | pre | 80 | true |
| 3.1s | 2227× | body | 10240 | exit |
| 1.5s | 6845× | body | 320 | valid |
| 1.2s | 19460× | body | 80 | nan |
| 572.0ms | 253× | body | 5120 | valid |
| 3.0ms | 100× | pre | 80 | false |
325 calls:
| 1.2s | (* (* (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (* r w)) (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (* r w))) (* (- 3.0 (* 2.0 v)) (* (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v)))) (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v))))))) |
| 833.0ms | (+ (+ (* (* 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)))) |
| 703.0ms | (* (* (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (/ (cbrt 0.125) (cbrt (- 1.0 v)))) (* (* w r) (* w r))) (- 3.0 (* 2.0 v))) |
| 656.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 645.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 109× | rewrite-expression-head |
325 calls:
| 3.6s | (* (* (* (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (* r w)) (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (* r w))) (* (- 3.0 (* 2.0 v)) (* (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v)))) (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v))))))) (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v))))) |
| 2.9s | (* (* (* (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (/ (cbrt 0.125) (cbrt (- 1.0 v)))) (* (* w r) (* w r))) (- 3.0 (* 2.0 v))) (/ (cbrt 0.125) (cbrt (- 1.0 v)))) |
| 2.2s | (+ (+ (* (* 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)))) |
| 1.8s | (* (* (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (* r w)) (* (/ (cbrt 0.125) (cbrt (- 1.0 v))) (* r w))) (* (* (- 3.0 (* 2.0 v)) (* (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v)))) (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v)))))) (cbrt (/ (cbrt 0.125) (cbrt (- 1.0 v)))))) |
| 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))) |
| 4703× | times-frac |
| 4085× | *-un-lft-identity |
| 3958× | add-sqr-sqrt |
| 3861× | add-exp-log |
| 2887× | add-cbrt-cube |
| 2686× | add-cube-cbrt |
| 2316× | prod-exp |
| 2268× | cbrt-unprod |
| 1647× | pow1 |
| 1389× | associate-*r/ |
| 1221× | frac-times |
| 1016× | cbrt-div |
| 944× | associate-*l/ |
| 876× | pow-prod-down |
| 858× | sqrt-prod |
| 799× | flip3-- flip-- |
| 783× | associate-*r* |
| 727× | add-log-exp |
| 560× | div-exp |
| 525× | cbrt-undiv |
| 520× | associate-*l* |
| 469× | difference-of-squares |
| 400× | distribute-lft-out-- |
| 349× | associate-/l* |
| 342× | distribute-lft-out |
| 303× | frac-add |
| 285× | associate-/r/ |
| 282× | flip-+ flip3-+ |
| 280× | div-inv |
| 277× | cbrt-prod |
| 274× | associate-/r* |
| 189× | frac-sub |
| 173× | sqrt-div |
| 158× | sum-log |
| 133× | distribute-rgt-neg-in |
| 130× | unswap-sqr |
| 121× | unpow-prod-down |
| 103× | sub-neg |
| 95× | *-commutative |
| 89× | exp-neg |
| 81× | diff-log |
| 78× | neg-sub0 associate-/l/ |
| 75× | pow-prod-up |
| 74× | sqr-pow |
| 69× | exp-diff distribute-rgt-in distribute-lft-in |
| 62× | exp-prod |
| 58× | distribute-lft-neg-in |
| 56× | frac-2neg clear-num |
| 48× | sqrt-pow1 pow1/2 |
| 47× | log-prod |
| 41× | pow1/3 swap-sqr |
| 40× | +-commutative |
| 37× | rem-sqrt-square |
| 34× | associate-+l+ |
| 33× | pow-plus |
| 31× | pow-sqr |
| 27× | log-pow |
| 24× | un-div-inv |
| 21× | associate-+r+ associate--r+ |
| 20× | neg-mul-1 div-sub |
| 19× | pow2 |
| 16× | associate--l+ |
| 15× | pow-exp pow-to-exp |
| 14× | log-div |
| 12× | exp-sum |
| 11× | 1-exp rec-exp |
| 9× | associate--l- pow3 neg-log rem-exp-log |
| 8× | distribute-frac-neg |
| 7× | sqrt-unprod |
| 6× | distribute-lft-neg-out cube-unmult rem-log-exp |
| 4× | cube-prod associate-+r- associate-+l- |
| 3× | pow-unpow rem-cbrt-cube associate--r- |
| 2× | distribute-lft1-in sum-cubes distribute-rgt-out |
| 1× | distribute-rgt-out-- pow-flip unpow3 sub-div pow-pow inv-pow exp-to-pow rem-square-sqrt cube-mult unsub-neg |
Total 32.9b remaining (8.3%)
Threshold costs 2.8b (0.7%)
| 10.7b | 53.1% | Compound Interest |
| 4.5b | 76.8% | Kahan p9 Example |
| 4.3b | 84.1% | The quadratic formula (r1) |
| 3.7b | 87.1% | The quadratic formula (r2) |
| 3.1b | 0% | Complex division, real part |