| 73× | intervals |
| 26.7s | 285446× | body | 80 | valid |
| 9.8s | 13846× | body | 1280 | valid |
| 9.5s | 25073× | body | 160 | valid |
| 6.6s | 9547× | body | 640 | valid |
| 4.6s | 3769× | body | 2560 | valid |
| 2.9s | 100635× | pre | 80 | true |
| 2.7s | 2273× | body | 10240 | exit |
| 1.6s | 19295× | body | 80 | nan |
| 1.5s | 6940× | body | 320 | valid |
| 179.0ms | 252× | body | 5120 | valid |
| 7.0ms | 100× | pre | 80 | false |
267 calls:
| 1.4s | (+ (* (* (* 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)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 954.0ms | (log (cbrt (exp (* x (* x x))))) |
| 887.0ms | (log (* (cbrt (exp (* x (* x x)))) (cbrt (exp (* x (* x x)))))) |
| 885.0ms | (fma 2.7755575615628914e-17 (/ (+ (log (* (cbrt (exp (* x (* x x)))) (cbrt (exp (* x (* x x)))))) (log (cbrt (exp (* x (* x x)))))) eps) (* 1.0 (* x x))) |
| 703.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 98× | rewrite-expression-head |
267 calls:
| 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))) |
| 925.0ms | (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 917.0ms | (- (/ (* (+ (* 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)))) |
| 916.0ms | (+ (* (* (* 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)) (+ (* (fma 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) (- (* (sqrt 6.0) (sqrt 6.0)))) (* x1 x1)) (* (fma 6.0 -1 6.0) (* x1 x1)))) |
| 837.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 7741× | times-frac |
| 6941× | *-un-lft-identity |
| 6596× | add-sqr-sqrt |
| 5372× | add-cube-cbrt |
| 3681× | prod-diff |
| 1397× | add-exp-log |
| 1236× | add-cbrt-cube |
| 1039× | pow1 |
| 706× | distribute-rgt-in distribute-lft-in |
| 671× | div-inv |
| 598× | associate-*r* |
| 520× | add-log-exp |
| 509× | sqrt-prod |
| 485× | prod-exp |
| 468× | distribute-lft-out |
| 452× | difference-of-squares |
| 443× | associate-+r+ |
| 418× | unpow-prod-down |
| 410× | associate-*l* |
| 380× | cbrt-unprod |
| 362× | distribute-lft-out-- |
| 348× | pow-prod-down |
| 331× | associate-/r* |
| 314× | div-exp |
| 309× | associate-/l* |
| 277× | sqrt-pow1 |
| 268× | associate-+l+ |
| 267× | expm1-log1p-u cbrt-undiv log1p-expm1-u |
| 257× | associate-/r/ |
| 234× | fma-neg |
| 200× | flip-+ flip3-+ |
| 199× | associate-*l/ |
| 194× | flip3-- flip-- |
| 187× | associate-*r/ |
| 169× | sqrt-div |
| 163× | sqr-pow |
| 151× | frac-times |
| 139× | pow-prod-up |
| 136× | distribute-rgt-neg-in |
| 131× | distribute-lft-neg-in |
| 104× | sum-log |
| 100× | unswap-sqr |
| 98× | pow1/2 |
| 93× | fma-def |
| 71× | *-commutative |
| 69× | cbrt-div |
| 67× | sub-neg |
| 65× | associate--r+ |
| 63× | frac-2neg clear-num |
| 62× | associate-/l/ frac-add |
| 58× | log-prod |
| 54× | log-pow |
| 46× | swap-sqr diff-log |
| 43× | neg-mul-1 |
| 41× | exp-prod |
| 34× | pow-sqr |
| 32× | cbrt-prod |
| 30× | fma-udef |
| 27× | div-sub rem-sqrt-square |
| 25× | pow-exp pow-to-exp |
| 24× | frac-sub |
| 19× | +-commutative |
| 18× | pow1/3 |
| 17× | exp-sum |
| 15× | pow-plus |
| 12× | pow2 hypot-def |
| 11× | 1-exp rec-exp |
| 10× | distribute-frac-neg rem-log-exp |
| 8× | log-div |
| 7× | neg-sub0 |
| 6× | rem-exp-log |
| 5× | distribute-lft-neg-out pow3 sqrt-unprod exp-to-pow |
| 4× | associate--l- un-div-inv |
| 3× | pow-unpow cube-unmult neg-log distribute-rgt-out-- |
| 2× | associate-+r- associate--l+ distribute-neg-frac rem-square-sqrt rem-cbrt-cube |
| 1× | pow-flip sqrt-undiv sub-div pow-pow inv-pow associate-+l- unsub-neg associate--r- distribute-rgt-out |
Total 36.9b remaining (14.1%)
Threshold costs 2.8b (1.1%)
| 9.9b | 55% | Compound Interest |
| 7.2b | 34.1% | Complex division, imag part |
| 4.7b | 76% | Kahan p9 Example |
| 4.3b | 85% | The quadratic formula (r2) |
| 3.5b | 85.4% | The quadratic formula (r1) |