| 71× | intervals |
| 34.6s | 286243× | body | 80 | valid |
| 10.4s | 13688× | body | 1280 | valid |
| 5.5s | 3890× | body | 2560 | valid |
| 5.4s | 9483× | body | 640 | valid |
| 4.1s | 2189× | body | 10240 | exit |
| 3.8s | 100675× | pre | 80 | true |
| 3.1s | 6891× | body | 320 | valid |
| 1.8s | 19623× | body | 80 | nan |
| 1.3s | 8610× | body | 160 | valid |
| 260.0ms | 233× | body | 5120 | valid |
| 6.0ms | 100× | pre | 80 | false |
| 104× | rewrite-expression-head |
293 calls:
| 11.8s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (- (/ (- (+ (* (* 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))) |
| 10.6s | (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (- (/ (- (+ (* (* 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))) |
| 5.4s | (+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0))) |
| 1.3s | (+ (* (* (* 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) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) |
| 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)) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) |
| 4744× | cbrt-div |
| 4262× | times-frac |
| 3897× | *-un-lft-identity |
| 3734× | add-sqr-sqrt |
| 3333× | frac-times |
| 3286× | associate-*r/ |
| 2687× | flip3-- flip-- |
| 2506× | add-cube-cbrt |
| 1686× | add-exp-log |
| 1609× | sqrt-prod |
| 1424× | add-cbrt-cube |
| 1263× | frac-add |
| 1049× | associate-*l/ |
| 720× | pow1 |
| 716× | add-log-exp |
| 666× | difference-of-squares |
| 644× | associate-*r* |
| 612× | prod-exp |
| 536× | associate-*l* |
| 524× | cbrt-unprod |
| 501× | distribute-lft-out |
| 433× | unpow-prod-down |
| 390× | associate-/r* |
| 376× | div-exp |
| 349× | cbrt-prod |
| 317× | cbrt-undiv |
| 295× | associate-/l* |
| 250× | flip-+ flip3-+ |
| 235× | sqr-pow |
| 230× | distribute-lft-out-- |
| 226× | associate-/r/ |
| 206× | pow-prod-down |
| 192× | div-inv |
| 159× | sum-log |
| 157× | sqrt-div |
| 143× | unswap-sqr |
| 121× | frac-sub |
| 111× | sub-neg |
| 98× | associate-/l/ |
| 94× | diff-log |
| 93× | cube-prod |
| 82× | exp-neg |
| 71× | *-commutative |
| 69× | distribute-rgt-neg-in |
| 68× | distribute-rgt-in distribute-lft-in |
| 66× | neg-sub0 |
| 64× | distribute-lft-neg-in |
| 62× | exp-diff |
| 57× | clear-num frac-2neg |
| 53× | log-prod |
| 48× | swap-sqr |
| 44× | +-commutative |
| 36× | rem-sqrt-square |
| 35× | log-pow |
| 34× | associate-+l+ |
| 32× | associate-+r+ |
| 31× | sqrt-pow1 |
| 30× | pow-to-exp exp-prod pow-exp |
| 29× | pow1/2 associate--l+ |
| 24× | unpow2 pow1/3 |
| 23× | un-div-inv |
| 22× | pow-prod-up neg-mul-1 |
| 19× | unpow3 1-exp cube-mult rec-exp |
| 18× | cube-div div-sub |
| 17× | pow-plus |
| 16× | exp-sum log-div |
| 14× | pow-unpow |
| 13× | associate--l- |
| 12× | pow-sqr |
| 11× | pow2 |
| 9× | rem-log-exp |
| 8× | distribute-neg-in pow-pow |
| 7× | distribute-frac-neg |
| 6× | rem-cbrt-cube associate--r+ |
| 4× | rem-exp-log distribute-lft-neg-out associate-+l- |
| 3× | neg-log |
| 2× | sqrt-pow2 distribute-lft1-in unpow-prod-up exp-to-pow |
| 1× | rem-cube-cbrt sqrt-undiv pow3 inv-pow associate-+r- cube-unmult distribute-rgt-out-- sub-div pow-flip distribute-rgt-out |
293 calls:
| 1.0s | (log (exp (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))))) |
| 1.0s | (/ (+ (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)) 1.0) (+ 2.0 (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) (+ 3 1)))) |
| 891.0ms | (cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3)) |
| 869.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4.0)) |
| 868.0ms | (- (* 9.0 (pow x 4.0)) (pow y 4)) |
Total 36.0b remaining (9.6%)
Threshold costs 3.6b (0.9%)
| 12.2b | 46.4% | Compound Interest |
| 5.1b | 82.7% | The quadratic formula (r1) |
| 4.5b | 84.2% | The quadratic formula (r2) |
| 4.5b | 77.3% | Kahan p9 Example |
| 3.1b | -6.3% | Complex division, real part |