| 67× | intervals |
| 37.1s | 268656× | body | 80 | valid |
| 13.1s | 13736× | body | 1280 | valid |
| 7.7s | 16987× | body | 160 | valid |
| 5.5s | 9595× | body | 640 | valid |
| 5.4s | 3850× | body | 2560 | valid |
| 5.0s | 2183× | body | 10240 | exit |
| 3.4s | 75854× | pre | 80 | true |
| 2.8s | 6737× | body | 320 | valid |
| 2.0s | 19130× | body | 80 | nan |
| 338.0ms | 247× | body | 5120 | valid |
| 11.0ms | 100× | pre | 80 | false |
265 calls:
| 3.1s | (* (* x1 x1) (* (cbrt (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))) (cbrt (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))))) |
| 877.0ms | (expm1 (log1p (cbrt (- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))))) |
| 676.0ms | (cbrt x) |
| 616.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1 1))) (- (* x1 x1) 1) -3)) (+ (* (* x1 x1) (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))) 0)) |
| 563.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (- (* (* x1 x1) (* x1 x1)) (* 1 1))) (- (* x1 x1) 1) -3)) (+ (* (* (* x1 x1) (* (cbrt (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))) (cbrt (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6))))))) (cbrt (fma 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (- (* (sqrt 6) (sqrt 6)))))) 0)) |
| 92× | rewrite-expression-head |
265 calls:
| 939.0ms | (+ (+ (* 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))) |
| 918.0ms | (+ (+ (+ (* 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))) |
| 790.0ms | (* (/ 1 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (* w r) (* w r)))) |
| 701.0ms | (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3) |
| 687.0ms | (+ (* (* (* 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))) |
| 33449× | times-frac |
| 21096× | *-un-lft-identity |
| 17311× | add-sqr-sqrt |
| 13597× | add-cube-cbrt |
| 5069× | frac-times |
| 3457× | flip-+ flip3-+ |
| 2185× | distribute-lft-out |
| 1953× | associate-*l/ |
| 1762× | difference-of-squares |
| 1514× | pow1 |
| 1500× | distribute-lft-out-- |
| 1478× | add-exp-log |
| 1401× | prod-diff |
| 1326× | associate-/l* |
| 1316× | associate-*r/ |
| 1253× | add-cbrt-cube |
| 1245× | div-inv |
| 902× | associate-/r/ |
| 841× | cbrt-div |
| 760× | associate-*r* |
| 738× | sqrt-prod |
| 650× | frac-sub |
| 585× | exp-neg |
| 514× | prod-exp |
| 509× | associate-*l* |
| 506× | add-log-exp |
| 504× | flip3-- flip-- |
| 444× | neg-sub0 |
| 443× | exp-diff |
| 408× | cbrt-unprod associate-/r* |
| 407× | pow-prod-down |
| 365× | associate-+l+ |
| 361× | pow-prod-up |
| 357× | div-exp |
| 271× | cbrt-undiv |
| 267× | expm1-log1p-u |
| 266× | log1p-expm1-u |
| 265× | insert-posit16 |
| 236× | pow-plus |
| 180× | cbrt-prod |
| 168× | distribute-rgt-neg-in |
| 156× | fma-neg |
| 151× | distribute-lft-neg-in |
| 148× | un-div-inv unpow-prod-down |
| 133× | pow-sqr |
| 129× | unswap-sqr |
| 118× | distribute-rgt-in distribute-lft-in |
| 109× | sqr-pow |
| 91× | sum-log sqrt-pow1 |
| 87× | difference-of-sqr-1 |
| 86× | fma-def |
| 75× | pow2 |
| 70× | *-commutative pow1/2 |
| 59× | frac-2neg clear-num |
| 57× | sub-neg |
| 52× | diff-log |
| 51× | neg-mul-1 exp-prod |
| 50× | associate-/l/ |
| 44× | sqrt-div fma-udef |
| 36× | swap-sqr |
| 32× | log-prod 1-exp rec-exp |
| 30× | pow3 |
| 28× | rem-sqrt-square |
| 27× | associate-+r+ |
| 26× | frac-add |
| 23× | exp-sum |
| 22× | log-pow |
| 19× | pow1/3 associate--l+ |
| 17× | +-commutative div-sub |
| 13× | pow-exp pow-to-exp |
| 11× | rem-exp-log hypot-def |
| 10× | pow-flip |
| 9× | sqrt-unprod |
| 8× | inv-pow pow-div |
| 6× | associate--l- log-div |
| 5× | expm1-udef neg-log |
| 4× | cube-prod distribute-frac-neg distribute-lft-neg-out |
| 3× | pow-unpow rem-log-exp rem-square-sqrt expm1-def |
| 2× | expm1-log1p log1p-expm1 associate--r+ rem-cbrt-cube log1p-udef |
| 1× | remove-posit16 unpow3 pow-pow associate-+l- log1p-def cube-mult distribute-rgt-out |
Total 30.2b remaining (19.1%)
Threshold costs 2.0b (1.3%)
| 8.9b | 16.6% | Compound Interest |
| 5.3b | 73.4% | Kahan p9 Example |
| 4.7b | 82.9% | The quadratic formula (r2) |
| 3.2b | 85.3% | The quadratic formula (r1) |
| 2.5b | 0% | Complex division, real part |