| 73× | intervals |
| 25.7s | 285938× | body | 80 | valid |
| 9.1s | 13777× | body | 1280 | valid |
| 9.0s | 25067× | body | 160 | valid |
| 4.4s | 2198× | body | 10240 | exit |
| 4.0s | 3731× | body | 2560 | valid |
| 3.8s | 9416× | body | 640 | valid |
| 3.1s | 100640× | pre | 80 | true |
| 2.0s | 19502× | body | 80 | nan |
| 1.8s | 6899× | body | 320 | valid |
| 221.0ms | 244× | body | 5120 | valid |
| 5.0ms | 100× | pre | 80 | false |
330 calls:
| 822.0ms | (+ (+ (* (* x x) (- (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0)) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* y 2.0)))) |
| 701.0ms | (cbrt (+ (* (* (* 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)))) |
| 684.0ms | (cbrt (+ (* (* (* 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)))) |
| 681.0ms | (cbrt (+ (* (* (* 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)))) |
| 668.0ms | (cbrt (+ (* (* (* 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)))) |
| 112× | rewrite-expression-head |
330 calls:
| 9.9s | (+ (+ (* (* x x) (- (- (- (* 11.0 (* (* x y) (* x y))) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0)) (* (pow y 6.0) 333.75)) (+ (* (pow y 8.0) 5.5) (/ x (* y 2.0)))) |
| 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))) |
| 729.0ms | (+ (* (* (* 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))) |
| 679.0ms | (- (/ (* (+ (* 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)))) |
| 623.0ms | (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) |
| 4399× | times-frac |
| 4349× | *-un-lft-identity |
| 4025× | add-sqr-sqrt |
| 2779× | add-cube-cbrt |
| 1995× | add-exp-log |
| 1864× | add-cbrt-cube |
| 1233× | sqrt-prod |
| 917× | pow1 |
| 815× | associate-*r* |
| 742× | add-log-exp |
| 700× | associate-*l* |
| 677× | prod-exp |
| 635× | cbrt-unprod |
| 506× | div-exp |
| 485× | associate-*r/ |
| 482× | distribute-lft-out |
| 460× | cbrt-undiv |
| 432× | associate-/r* |
| 408× | flip3-- flip-- |
| 390× | difference-of-squares |
| 355× | frac-times |
| 311× | associate-/l* |
| 308× | flip-+ flip3-+ |
| 306× | distribute-lft-out-- |
| 285× | associate-/r/ |
| 284× | swap-sqr |
| 268× | pow-prod-down |
| 251× | div-inv |
| 249× | cbrt-prod |
| 247× | cbrt-div |
| 214× | associate-*l/ |
| 172× | unswap-sqr |
| 168× | frac-sub |
| 159× | sqrt-div |
| 157× | frac-add |
| 131× | sum-log |
| 117× | sub-neg |
| 113× | diff-log |
| 108× | associate-/l/ |
| 92× | *-commutative |
| 90× | exp-prod |
| 84× | sqrt-pow1 distribute-rgt-neg-in unpow-prod-down |
| 81× | exp-neg |
| 71× | frac-2neg clear-num |
| 70× | neg-sub0 |
| 66× | distribute-lft-neg-in |
| 65× | exp-diff |
| 58× | distribute-rgt-in distribute-lft-in |
| 55× | sqr-pow pow1/2 |
| 53× | log-pow |
| 48× | associate--l+ pow-prod-up |
| 40× | log-prod |
| 34× | pow1/3 +-commutative |
| 33× | pow-sqr |
| 30× | div-sub |
| 27× | exp-sum rem-sqrt-square |
| 24× | pow-plus |
| 22× | neg-mul-1 |
| 21× | un-div-inv |
| 20× | 1-exp rec-exp pow2 |
| 16× | associate-+l+ |
| 14× | pow-exp associate-+r+ pow-to-exp |
| 13× | associate--r+ |
| 12× | associate--l- |
| 8× | rem-log-exp distribute-neg-in |
| 7× | neg-log rem-exp-log |
| 6× | pow-flip sqrt-unprod inv-pow log-div |
| 5× | distribute-lft1-in sqrt-undiv |
| 4× | distribute-lft-neg-out cube-prod associate-+r- distribute-frac-neg associate-+l- distribute-rgt-out |
| 3× | pow-unpow pow3 exp-to-pow rem-square-sqrt |
| 2× | rem-cbrt-cube associate--r- |
| 1× | distribute-rgt-out-- cube-unmult unpow3 sub-div pow-pow cube-mult unsub-neg |
Total 35.3b remaining (8.9%)
Threshold costs 2.8b (0.7%)
| 11.1b | 48.8% | Compound Interest |
| 4.8b | 75.8% | Kahan p9 Example |
| 4.6b | 83.9% | The quadratic formula (r2) |
| 4.2b | 0% | Complex division, imag part |
| 3.5b | 87.7% | The quadratic formula (r1) |