| 67× | intervals |
| 36.9s | 268827× | body | 80 | valid |
| 13.5s | 13526× | body | 1280 | valid |
| 7.7s | 16887× | body | 160 | valid |
| 6.0s | 3738× | body | 2560 | valid |
| 5.8s | 9684× | body | 640 | valid |
| 4.0s | 2305× | body | 10240 | exit |
| 3.5s | 75793× | pre | 80 | true |
| 3.4s | 6891× | body | 320 | valid |
| 2.7s | 19740× | body | 80 | nan |
| 243.0ms | 206× | body | 5120 | valid |
| 11.0ms | 100× | pre | 80 | false |
263 calls:
| 2.6s | (* (* 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))))))) |
| 937.0ms | (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) |
| 904.0ms | (cbrt (+ (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x (* x x))) (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x x)))) |
| 656.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ 1 (sqrt (+ (* x1 x1) 1))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (sqrt (+ (* x1 x1) 1))) -3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) |
| 656.0ms | (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (fma (/ 1 (sqrt (+ (* x1 x1) 1))) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (sqrt (+ (* 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)) |
| 94× | rewrite-expression-head |
263 calls:
| 1.3s | (+ (+ (+ (* 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))) |
| 1.2s | (+ (* (* (* 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))) |
| 994.0ms | (+ (+ (* 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))) |
| 881.0ms | (* (* (exp a) (exp e)) (* (sqrt (* (exp b) (* (exp d) (exp c)))) (sqrt (* (exp b) (* (exp d) (exp c)))))) |
| 708.0ms | (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3) |
| 4216× | times-frac |
| 4042× | *-un-lft-identity |
| 3678× | add-sqr-sqrt |
| 3048× | add-cube-cbrt |
| 1366× | prod-diff |
| 1025× | add-exp-log |
| 953× | add-cbrt-cube |
| 886× | pow1 |
| 465× | add-log-exp |
| 401× | sqrt-prod |
| 381× | associate-*r* |
| 320× | associate-/r* |
| 313× | associate-/l* |
| 299× | distribute-lft-out |
| 298× | div-inv |
| 296× | prod-exp |
| 280× | associate-*l* |
| 273× | pow-prod-down |
| 272× | cbrt-unprod |
| 264× | expm1-log1p-u |
| 263× | log1p-expm1-u insert-posit16 |
| 262× | difference-of-squares |
| 250× | associate-+r+ |
| 216× | div-exp |
| 203× | flip-+ flip3-+ |
| 197× | associate-/r/ |
| 171× | cbrt-undiv |
| 158× | distribute-lft-out-- |
| 154× | frac-times |
| 145× | associate-+l+ cbrt-prod |
| 133× | associate-*r/ |
| 124× | distribute-rgt-neg-in |
| 121× | associate-*l/ |
| 117× | distribute-lft-neg-in |
| 112× | fma-neg |
| 107× | distribute-rgt-in distribute-lft-in |
| 105× | pow-prod-up |
| 104× | exp-prod |
| 100× | flip-- flip3-- |
| 99× | unpow-prod-down |
| 98× | sqrt-pow1 |
| 94× | sum-log |
| 83× | frac-sub |
| 82× | fma-def |
| 81× | exp-neg |
| 70× | unswap-sqr |
| 68× | fma-udef |
| 67× | *-commutative |
| 66× | neg-sub0 |
| 61× | exp-diff |
| 58× | frac-2neg clear-num |
| 51× | associate-/l/ |
| 46× | swap-sqr |
| 41× | pow-plus frac-add |
| 40× | pow1/2 pow-sqr |
| 39× | neg-mul-1 |
| 37× | sub-neg |
| 34× | sqr-pow |
| 32× | log-pow |
| 27× | un-div-inv diff-log |
| 23× | pow1/3 cbrt-div |
| 22× | 1-exp rec-exp pow2 |
| 21× | +-commutative rem-sqrt-square |
| 18× | div-sub |
| 16× | log-prod |
| 11× | distribute-lft-neg-out rem-exp-log |
| 10× | pow-flip pow-exp inv-pow |
| 8× | distribute-rgt-neg-out pow-div hypot-def |
| 7× | distribute-frac-neg pow-to-exp |
| 6× | pow-unpow |
| 5× | exp-sum pow3 |
| 4× | pow-pow rem-log-exp |
| 3× | neg-log difference-of-sqr-1 associate--l- |
| 2× | remove-posit16 cube-unmult sqrt-unprod distribute-neg-frac rem-square-sqrt rem-cbrt-cube unsub-neg distribute-rgt-out |
| 1× | expm1-log1p expm1-udef associate-+r- associate--l+ sqrt-div log1p-expm1 log1p-udef |
Total 37.9b remaining (26.5%)
Threshold costs 3.1b (2.1%)
| 10.3b | 63% | Compound Interest |
| 7.8b | 31.5% | Complex division, real part |
| 5.0b | 81.7% | The quadratic formula (r2) |
| 4.8b | 75.8% | Kahan p9 Example |
| 4.3b | 84.2% | The quadratic formula (r1) |