| 73× | intervals |
| 28.0s | 294377× | body | 80 | valid |
| 10.1s | 13724× | body | 1280 | valid |
| 5.4s | 16808× | body | 160 | valid |
| 3.9s | 9384× | body | 640 | valid |
| 3.6s | 3775× | body | 2560 | valid |
| 3.0s | 2183× | body | 10240 | exit |
| 2.6s | 100609× | pre | 80 | true |
| 1.8s | 7009× | body | 320 | valid |
| 1.3s | 19545× | body | 80 | nan |
| 138.0ms | 223× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
284 calls:
| 2.0s | (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0)) |
| 1.2s | (+ (* (* (* 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)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 804.0ms | (expm1 (log1p (* (pow y 6.0) 333.75))) |
| 636.0ms | (* (pow y 6.0) 333.75) |
| 630.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 104× | rewrite-expression-head |
284 calls:
| 1.7s | (+ (+ (+ (* 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))) |
| 1.6s | (+ (+ (* 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))) |
| 1.2s | (+ (* (* (* 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)) (* (* (* (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (fma (* 3.0 x1) x1 (* 2.0 x2)) x1) (fma x1 x1 1.0))) 6.0))) (* x1 x1)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 1.1s | (+ (* (* (* 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))) |
| 977.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 9982× | times-frac |
| 9794× | *-un-lft-identity |
| 8607× | add-sqr-sqrt |
| 7291× | add-cube-cbrt |
| 4996× | prod-diff |
| 1303× | add-exp-log |
| 1082× | distribute-rgt-in distribute-lft-in |
| 1075× | add-cbrt-cube |
| 912× | distribute-lft-out |
| 798× | div-inv |
| 778× | associate-*r* |
| 661× | pow1 |
| 607× | add-log-exp |
| 493× | unpow-prod-down |
| 456× | associate-*l* |
| 449× | difference-of-squares |
| 391× | associate-+l+ |
| 387× | prod-exp |
| 372× | associate-*l/ |
| 371× | frac-times |
| 358× | distribute-lft-out-- |
| 350× | flip3-- flip-- |
| 329× | cube-prod |
| 325× | cbrt-prod |
| 315× | cbrt-div |
| 314× | associate-/l* |
| 313× | associate-*r/ |
| 303× | div-exp |
| 291× | cbrt-unprod |
| 284× | log1p-expm1-u expm1-log1p-u |
| 278× | sqrt-prod |
| 271× | associate-/r/ |
| 269× | fma-neg |
| 255× | associate-/r* |
| 231× | flip-+ flip3-+ |
| 227× | cbrt-undiv |
| 162× | unswap-sqr |
| 159× | pow-prod-down |
| 148× | frac-add |
| 137× | sum-log |
| 125× | fma-def |
| 123× | sqr-pow |
| 112× | distribute-rgt-neg-in |
| 107× | distribute-lft-neg-in frac-sub |
| 80× | exp-neg |
| 79× | swap-sqr |
| 75× | sub-neg |
| 68× | *-commutative |
| 67× | neg-sub0 |
| 60× | exp-diff |
| 58× | clear-num frac-2neg |
| 56× | diff-log |
| 55× | associate-/l/ |
| 50× | sqrt-pow1 |
| 45× | fma-udef |
| 40× | log-prod |
| 37× | cube-mult +-commutative |
| 36× | unpow2 unpow3 |
| 35× | neg-mul-1 |
| 34× | sqrt-div |
| 31× | pow-exp |
| 30× | pow1/2 rec-exp 1-exp |
| 28× | pow-prod-up |
| 25× | pow-to-exp |
| 24× | un-div-inv |
| 23× | associate-+r+ |
| 20× | pow-sqr |
| 19× | log-pow div-sub |
| 16× | pow1/3 |
| 14× | pow-plus |
| 12× | pow-unpow pow2 |
| 10× | rem-sqrt-square log-div |
| 9× | rem-cube-cbrt associate--l+ |
| 8× | cube-div associate--l- distribute-frac-neg |
| 7× | distribute-lft-neg-out associate--r+ |
| 5× | inv-pow hypot-udef pow-flip sum-cubes rem-cbrt-cube |
| 4× | neg-log pow-pow |
| 3× | unsub-neg rem-log-exp |
| 2× | associate-+r- sqrt-unprod sub-div rem-square-sqrt associate--r- distribute-rgt-out-- distribute-rgt-neg-out expm1-udef distribute-neg-frac |
| 1× | distribute-rgt1-in expm1-log1p distribute-rgt-out associate-+l- |
Total 41.5b remaining (17.1%)
Threshold costs 3.7b (1.5%)
| 10.6b | 52.2% | Compound Interest |
| 10.6b | 27.7% | Complex division, real part |
| 7.0b | 34.7% | Complex division, imag part |
| 4.2b | 85.3% | The quadratic formula (r1) |
| 4.1b | 84.9% | The quadratic formula (r2) |